AdjMat Generator.nb

(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 11.3' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[    168348,       3058]
NotebookOptionsPosition[    167298,       3034]
NotebookOutlinePosition[    167639,       3049]
CellTagsIndexPosition[    167596,       3046]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[{
 RowBox[{
  RowBox[{"SetDirectory", "[", 
   RowBox[{"NotebookDirectory", "[", "]"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"v", " ", "=", " ", "4"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"G", " ", "=", " ", 
   RowBox[{"RandomGraph", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"v", ",", "v"}], "}"}], ",", 
     RowBox[{"VertexLabels", "\[Rule]", " ", "\"\<Name\>\""}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"A", " ", "=", " ", 
   RowBox[{"AdjacencyMatrix", "[", "G", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"K", " ", "=", " ", 
   RowBox[{"KirchhoffMatrix", "[", "G", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"A", "//", "MatrixForm"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<adjmat.txt\>\"", ",", "A", ",", "\"\<Table\>\""}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"l", " ", "=", " ", 
   RowBox[{"Length", "[", "A", "]"}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.7719614171201735`*^9, 3.771961460973276*^9}, 
   3.772394593318761*^9, {3.7723956301397867`*^9, 3.7723956445832896`*^9}, {
   3.772395714247851*^9, 3.7723957353083563`*^9}, {3.772395789850225*^9, 
   3.7723958439628515`*^9}, {3.772395888760607*^9, 3.7723959600227604`*^9}, {
   3.7723960467431374`*^9, 3.7723960468303676`*^9}, {3.772396081980948*^9, 
   3.772396082069181*^9}, {3.7723961260582533`*^9, 3.772396126124422*^9}, {
   3.7723962382462754`*^9, 3.772396239010293*^9}, {3.7723962920645547`*^9, 
   3.7723963037907887`*^9}, {3.772396505215189*^9, 3.7723965376150923`*^9}, {
   3.772478541178279*^9, 3.772478541468173*^9}, {3.772479976335828*^9, 
   3.772479976422556*^9}, {3.7724803540870714`*^9, 3.772480379783392*^9}, {
   3.7725549414469213`*^9, 3.7725549415276566`*^9}, {3.7725550590401115`*^9, 
   3.7725550742218723`*^9}, {3.7725623147863445`*^9, 3.772562329118145*^9}, {
   3.7725624757175355`*^9, 3.7725624772677064`*^9}, {3.772562533092642*^9, 
   3.772562533944886*^9}, {3.772904656788952*^9, 3.772904671887727*^9}, {
   3.772904735949177*^9, 3.7729047708223944`*^9}, {3.7729050289499655`*^9, 
   3.772905062616933*^9}, {3.772905094718278*^9, 3.772905107053969*^9}, {
   3.7729051780235014`*^9, 3.772905213996274*^9}, {3.7729052955992575`*^9, 
   3.7729053419247503`*^9}, {3.772982919005809*^9, 3.7729829246733007`*^9}, {
   3.7729830016937914`*^9, 3.7729830098827114`*^9}, {3.773161886025588*^9, 
   3.773161899724922*^9}, {3.773162103189489*^9, 3.7731621262743597`*^9}, {
   3.7731622493359623`*^9, 3.7731622515190344`*^9}, {3.7731623060606613`*^9, 
   3.773162338757436*^9}, {3.7731624557640915`*^9, 3.773162538693906*^9}, {
   3.7731799581824474`*^9, 3.7731799854489317`*^9}, {3.773180374206315*^9, 
   3.7731803744328046`*^9}, {3.7731835925558777`*^9, 3.7731836194445314`*^9}, 
   3.773183810753713*^9, 3.773183867514587*^9, {3.7731872593895187`*^9, 
   3.7731872595950875`*^9}, {3.773187705712353*^9, 3.773187705799585*^9}},
 CellLabel->
  "In[129]:=",ExpressionUUID->"59681004-b22b-4880-9a32-1fd054829988"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"start", " ", "=", " ", "0"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"end", " ", "=", " ", "10"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"step", " ", "=", " ", "0.01"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\[Psi]0", " ", "=", " ", 
   RowBox[{"UnitVector", "[", 
    RowBox[{"l", ",", "1"}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"\[Psi]1", "[", "t_", "]"}], " ", ":=", " ", 
   RowBox[{"MatrixExp", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"-", "\[ImaginaryI]"}], " ", "A", " ", "t"}], ",", "\[Psi]0"}], 
    "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Graph", "[", 
  RowBox[{"G", ",", 
   RowBox[{"VertexSize", "\[Rule]", "0.3"}], ",", 
   RowBox[{"EdgeStyle", "\[Rule]", " ", 
    RowBox[{"{", 
     RowBox[{"Thickness", "[", ".01", "]"}], "}"}]}], ",", 
   RowBox[{"VertexLabels", "\[Rule]", " ", 
    RowBox[{"Table", "[", 
     RowBox[{
      RowBox[{"i", "\[Rule]", 
       RowBox[{"Placed", "[", 
        RowBox[{
         RowBox[{"Text", "[", 
          RowBox[{"i", ",", 
           RowBox[{"BaseStyle", "\[Rule]", " ", 
            RowBox[{"{", "Large", "}"}]}]}], "]"}], ",", "Center"}], "]"}]}], 
      ",", 
      RowBox[{"{", 
       RowBox[{"i", ",", "l"}], "}"}]}], "]"}]}], ",", 
   RowBox[{"ImageSize", "\[Rule]", "Large"}]}], "]"}], "\[IndentingNewLine]", 
 RowBox[{"Export", "[", 
  RowBox[{"\"\<2qwalk_graph.png\>\"", ",", "%"}], 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"ListLinePlot", "[", 
   RowBox[{
    RowBox[{"Table", "[", 
     RowBox[{
      RowBox[{"Transpose", "[", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"Table", "[", 
          RowBox[{"t", ",", 
           RowBox[{"{", 
            RowBox[{"t", ",", "start", ",", "end", ",", "step"}], "}"}]}], 
          "]"}], ",", 
         RowBox[{"Table", "[", 
          RowBox[{
           SuperscriptBox[
            RowBox[{"Norm", "[", 
             RowBox[{
              RowBox[{"\[Psi]1", "[", "t", "]"}], "[", 
              RowBox[{"[", "i", "]"}], "]"}], "]"}], "2"], ",", 
           RowBox[{"{", 
            RowBox[{"t", ",", "start", ",", "end", ",", "step"}], "}"}]}], 
          "]"}]}], "}"}], "]"}], ",", 
      RowBox[{"{", 
       RowBox[{"i", ",", "l"}], "}"}]}], "]"}], ",", 
    RowBox[{"PlotLabel", "\[Rule]", 
     RowBox[{"Style", "[", 
      RowBox[{
       RowBox[{"\"\<Quantum Walk, \>\"", "<>", 
        RowBox[{"ToString", "[", "v", "]"}], "<>", "\"\< vertices\>\""}], ",",
        "14", ",", "Bold"}], "]"}]}], ",", 
    RowBox[{"ImageSize", "\[Rule]", "Large"}], ",", 
    RowBox[{"PlotRange", "\[Rule]", "Full"}], ",", 
    RowBox[{"PlotLegends", "\[Rule]", 
     RowBox[{"Placed", "[", 
      RowBox[{"Automatic", ",", 
       RowBox[{"{", 
        RowBox[{"0.9", ",", "0.8"}], "}"}]}], "]"}]}]}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{"Labeled", "[", 
  RowBox[{"%", ",", 
   RowBox[{"{", 
    RowBox[{"\"\<Time (seconds)\>\"", ",", "\"\<Probability\>\""}], "}"}], 
   ",", 
   RowBox[{"{", 
    RowBox[{"Bottom", ",", "Left"}], "}"}], ",", 
   RowBox[{"RotateLabel", "\[Rule]", "True"}]}], "]"}], "\[IndentingNewLine]", 
 RowBox[{"Export", "[", 
  RowBox[{"\"\<2qwalk_mat.png\>\"", ",", "%"}], "]"}]}], "Input",
 CellChangeTimes->{{3.7719614171201735`*^9, 3.771961460973276*^9}, 
   3.772394593318761*^9, {3.7723956301397867`*^9, 3.7723956445832896`*^9}, {
   3.772395714247851*^9, 3.7723957353083563`*^9}, {3.772395789850225*^9, 
   3.7723958439628515`*^9}, {3.772395888760607*^9, 3.7723959600227604`*^9}, {
   3.7723960467431374`*^9, 3.7723960468303676`*^9}, {3.772396081980948*^9, 
   3.772396082069181*^9}, {3.7723961260582533`*^9, 3.772396126124422*^9}, {
   3.7723962382462754`*^9, 3.772396239010293*^9}, {3.7723962920645547`*^9, 
   3.7723963037907887`*^9}, {3.772396505215189*^9, 3.7723965376150923`*^9}, {
   3.772478541178279*^9, 3.772478541468173*^9}, {3.772479976335828*^9, 
   3.772479976422556*^9}, {3.7724803540870714`*^9, 3.772480379783392*^9}, {
   3.7725549414469213`*^9, 3.7725549415276566`*^9}, {3.7725550590401115`*^9, 
   3.7725550742218723`*^9}, {3.7725623147863445`*^9, 3.772562329118145*^9}, {
   3.7725624757175355`*^9, 3.7725624772677064`*^9}, {3.772562533092642*^9, 
   3.772562533944886*^9}, {3.772904656788952*^9, 3.772904671887727*^9}, {
   3.772904735949177*^9, 3.7729047708223944`*^9}, {3.7729050289499655`*^9, 
   3.772905062616933*^9}, {3.772905094718278*^9, 3.772905107053969*^9}, {
   3.7729051780235014`*^9, 3.772905213996274*^9}, {3.7729052955992575`*^9, 
   3.7729053419247503`*^9}, {3.772982919005809*^9, 3.7729829246733007`*^9}, {
   3.7729830016937914`*^9, 3.7729830098827114`*^9}, {3.773161886025588*^9, 
   3.773161899724922*^9}, {3.773162103189489*^9, 3.7731621262743597`*^9}, {
   3.7731622493359623`*^9, 3.7731622515190344`*^9}, {3.7731623060606613`*^9, 
   3.773162338757436*^9}, {3.7731624557640915`*^9, 3.773162538693906*^9}, {
   3.7731799581824474`*^9, 3.7731799854489317`*^9}, {3.773180374206315*^9, 
   3.7731803744328046`*^9}, {3.7731835925558777`*^9, 3.7731836194445314`*^9}, 
   3.773183810753713*^9, {3.773183880161646*^9, 3.7731839395399513`*^9}, {
   3.7731839911868324`*^9, 3.7731839991003804`*^9}, {3.773187216132084*^9, 
   3.7731872176922045`*^9}, {3.7731879952077675`*^9, 3.773188036740226*^9}},
 CellLabel->
  "In[137]:=",ExpressionUUID->"7a19c436-6019-4738-a350-f86aa40b2143"],

Cell[BoxData[
 GraphicsBox[
  NamespaceBox["NetworkGraphics",
   DynamicModuleBox[{Typeset`graph = HoldComplete[
     Graph[{1, 2, 3, 4}, {Null, 
       SparseArray[
       Automatic, {4, 4}, 0, {
        1, {{0, 3, 5, 6, 8}, {{2}, {3}, {4}, {1}, {4}, {1}, {1}, {2}}}, 
         Pattern}]}, {EdgeStyle -> {
         Thickness[0.01]}, GraphLayout -> {"Dimension" -> 2}, ImageSize -> 
       Large, VertexLabels -> {"Name", 3 -> Placed[
           Text[3, BaseStyle -> {Large}], Center], 4 -> Placed[
           Text[4, BaseStyle -> {Large}], Center], 2 -> Placed[
           Text[2, BaseStyle -> {Large}], Center], 1 -> Placed[
           Text[1, BaseStyle -> {Large}], Center]}, VertexSize -> {0.3}}]]}, 
    TagBox[GraphicsGroupBox[{
       {Hue[0.6, 0.7, 0.5], Thickness[0.01], Opacity[0.7], 
        LineBox[{{{1.1141060919809997`, 0.42373938770793124`}, {
         2.031093212295816, 0.}}, {{1.1141060919809997`, 
         0.42373938770793124`}, {0., 0.42364103879064774`}}, {{
         1.1141060919809997`, 0.42373938770793124`}, {2.031481386203642, 
         0.8470830608194897}}, {{2.031093212295816, 0.}, {2.031481386203642, 
         0.8470830608194897}}}]}, 
       {Hue[0.6, 0.2, 0.8], EdgeForm[{GrayLevel[0], Opacity[
        0.7]}], {
         DiskBox[{1.1141060919809997, 0.42373938770793124}, 
          0.12706247246390928], InsetBox[
          InterpretationBox[Cell[BoxData[
            FormBox[
             StyleBox["1",
              StripOnInput->False,
              FontSize->Large], TextForm]], "InlineText",ExpressionUUID->
            "94606fc9-bd43-4451-9141-e5fa084caa17"],
           Text[
            Style[1, Large]]], {1.1141060919809997, 0.42373938770793124},
          BaseStyle->"Graphics"]}, {
         DiskBox[{2.031093212295816, 0.}, 0.12706247246390928], InsetBox[
          InterpretationBox[Cell[BoxData[
            FormBox[
             StyleBox["2",
              StripOnInput->False,
              FontSize->Large], TextForm]], "InlineText",ExpressionUUID->
            "f8a8a90d-aee9-4d53-a94a-40c00bb41da7"],
           Text[
            Style[2, Large]]], {2.031093212295816, 0.},
          BaseStyle->"Graphics"]}, {
         DiskBox[{0., 0.42364103879064774}, 0.12706247246390928], InsetBox[
          InterpretationBox[Cell[BoxData[
            FormBox[
             StyleBox["3",
              StripOnInput->False,
              FontSize->Large], TextForm]], "InlineText",ExpressionUUID->
            "d6bcfa93-8ccb-45ed-9b0c-cb630f42dfe7"],
           Text[
            Style[3, Large]]], {0., 0.42364103879064774},
          BaseStyle->"Graphics"]}, {
         DiskBox[{2.031481386203642, 0.8470830608194897}, 
          0.12706247246390928], InsetBox[
          InterpretationBox[Cell[BoxData[
            FormBox[
             StyleBox["4",
              StripOnInput->False,
              FontSize->Large], TextForm]], "InlineText",ExpressionUUID->
            "09fc29e5-b964-491f-894b-4aaa93618740"],
           Text[
            Style[4, Large]]], {2.031481386203642, 0.8470830608194897},
          BaseStyle->"Graphics"]}}}],
     MouseAppearanceTag["NetworkGraphics"]],
    AllowKernelInitialization->False]],
  DefaultBaseStyle->{
   "NetworkGraphics", FrontEnd`GraphicsHighlightColor -> Hue[0.8, 1., 0.6]},
  FormatType->TraditionalForm,
  FrameTicks->None,
  ImageSize->Large]], "Output",
 CellChangeTimes->{{3.772562324371126*^9, 3.7725623298360357`*^9}, {
   3.7725624781687183`*^9, 3.7725625345992002`*^9}, 3.772813846014616*^9, 
   3.772822882594812*^9, 3.7729037860820675`*^9, {3.7729047392380595`*^9, 
   3.7729047713086815`*^9}, 3.772905220016885*^9, 3.7729052997436695`*^9, 
   3.7729053456862197`*^9, 3.7729776127598696`*^9, 3.772982925439325*^9, {
   3.772982970786832*^9, 3.7729830103329*^9}, 3.7731606639560766`*^9, {
   3.7731618902373595`*^9, 3.7731619011758404`*^9}, {3.7731621070302377`*^9, 
   3.7731621387211056`*^9}, {3.7731624567717886`*^9, 
   3.7731625389565954`*^9}, {3.773180352852681*^9, 3.7731803753976*^9}, 
   3.7731836230099626`*^9, {3.773183871919276*^9, 3.7731838840375404`*^9}, 
   3.7731839404154196`*^9, {3.7731839918961782`*^9, 3.773183999445385*^9}, 
   3.7731877135679474`*^9, {3.773187834905012*^9, 3.773187845481941*^9}, {
   3.773188037408971*^9, 3.7731880752556167`*^9}, 3.7736734038265653`*^9, 
   3.7743552809379835`*^9, {3.7743632067945614`*^9, 3.7743632374676275`*^9}, {
   3.774364008725354*^9, 3.7743640139226894`*^9}, 3.7743641222210827`*^9},
 CellLabel->
  "Out[142]=",ExpressionUUID->"ba4f230a-8dc4-4b8e-9298-b2685efd0971"],

Cell[BoxData["\<\"2qwalk_graph.png\"\>"], "Output",
 CellChangeTimes->{{3.772562324371126*^9, 3.7725623298360357`*^9}, {
   3.7725624781687183`*^9, 3.7725625345992002`*^9}, 3.772813846014616*^9, 
   3.772822882594812*^9, 3.7729037860820675`*^9, {3.7729047392380595`*^9, 
   3.7729047713086815`*^9}, 3.772905220016885*^9, 3.7729052997436695`*^9, 
   3.7729053456862197`*^9, 3.7729776127598696`*^9, 3.772982925439325*^9, {
   3.772982970786832*^9, 3.7729830103329*^9}, 3.7731606639560766`*^9, {
   3.7731618902373595`*^9, 3.7731619011758404`*^9}, {3.7731621070302377`*^9, 
   3.7731621387211056`*^9}, {3.7731624567717886`*^9, 
   3.7731625389565954`*^9}, {3.773180352852681*^9, 3.7731803753976*^9}, 
   3.7731836230099626`*^9, {3.773183871919276*^9, 3.7731838840375404`*^9}, 
   3.7731839404154196`*^9, {3.7731839918961782`*^9, 3.773183999445385*^9}, 
   3.7731877135679474`*^9, {3.773187834905012*^9, 3.773187845481941*^9}, {
   3.773188037408971*^9, 3.7731880752556167`*^9}, 3.7736734038265653`*^9, 
   3.7743552809379835`*^9, {3.7743632067945614`*^9, 3.7743632374676275`*^9}, {
   3.774364008725354*^9, 3.7743640139226894`*^9}, 3.774364122340399*^9},
 CellLabel->
  "Out[143]=",ExpressionUUID->"f74916f8-08a8-4708-8e7f-a37c1214e391"],

Cell[BoxData[
 TemplateBox[{TagBox[
    GraphicsBox[{{{}, {{{}, {}, {
          Hue[0.67, 0.6, 0.6], 
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[1.6]], 
          LineBox[CompressedData["
1:eJxV23VYVM3bB3C6GxZYcgMVERE7AOcWOx8bRWzFQFDsFgULsVHEQkpKkQ4J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           "]]}, {
          Hue[0.9060679774997897, 0.6, 0.6], 
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.880722, 0.611041, 0.142051], 
           AbsoluteThickness[1.6]], 
          LineBox[CompressedData["
1:eJxd23VclMvXAHC6OxaWWDbkAmJ3gHMwMLEVsVDEVlBUwELETgQsFFRKBKS7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           "]]}, {
          Hue[0.1421359549995791, 0.6, 0.6], 
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.560181, 0.691569, 0.194885], 
           AbsoluteThickness[1.6]], 
          LineBox[CompressedData["
1:eJxd23k8lN37B3D7vu8GYxaV0q4FLedKq1aKtC/SopRKWpQnKiktUhQVZQmp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           "]]}, {
          Hue[0.37820393249936934`, 0.6, 0.6], 
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.922526, 0.385626, 0.209179], 
           AbsoluteThickness[1.6]], 
          LineBox[CompressedData["
1:eJxd23c8lu37B3B7732b90hIQ1sl51GiqSeppJ1KQ6VUaEkaKpVQiqiQrOzs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           "]]}}, {{
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[1.6]]}, {
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.880722, 0.611041, 0.142051], 
           AbsoluteThickness[1.6]]}, {
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.560181, 0.691569, 0.194885], 
           AbsoluteThickness[1.6]]}, {
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.922526, 0.385626, 0.209179], 
           AbsoluteThickness[1.6]]}}, {{
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[1.6]]}, {
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.880722, 0.611041, 0.142051], 
           AbsoluteThickness[1.6]]}, {
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.560181, 0.691569, 0.194885], 
           AbsoluteThickness[1.6]]}, {
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.922526, 0.385626, 0.209179], 
           AbsoluteThickness[
           1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {{
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[1.6]]}, {
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.880722, 0.611041, 0.142051], 
           AbsoluteThickness[1.6]]}, {
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.560181, 0.691569, 0.194885], 
           AbsoluteThickness[1.6]]}, {
          Directive[
           PointSize[
            NCache[
             Rational[1, 180], 0.005555555555555556]], 
           RGBColor[0.922526, 0.385626, 0.209179], 
           AbsoluteThickness[
           1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}}, {{}, \
{}}}, {
       InsetBox[
        FormBox[
         TemplateBox[{
           TagBox[
            FrameBox[
             StyleBox["1", Smaller, StripOnInput -> False]], "Placeholder"], 
           TagBox[
            FrameBox[
             StyleBox["2", Smaller, StripOnInput -> False]], "Placeholder"], 
           TagBox[
            FrameBox[
             StyleBox["3", Smaller, StripOnInput -> False]], "Placeholder"], 
           TagBox[
            FrameBox[
             StyleBox["4", Smaller, StripOnInput -> False]], "Placeholder"]}, 
          "LineLegend", DisplayFunction -> (FormBox[
            StyleBox[
             StyleBox[
              PaneBox[
               TagBox[
                GridBox[{{
                   TagBox[
                    GridBox[{{
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.922526, 0.385626, 0.209179], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.922526, 0.385626, 0.209179], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}}, 
                    GridBoxAlignment -> {
                    "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                    AutoDelete -> False, 
                    GridBoxDividers -> {
                    "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                    GridBoxItemSize -> {
                    "Columns" -> {{All}}, "Rows" -> {{All}}}, 
                    GridBoxSpacings -> {
                    "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete -> 
                 False, GridBoxItemSize -> {
                  "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
                 GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
                "Grid"], Alignment -> Left, AppearanceElements -> None, 
               ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
               "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
             FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
             False], TraditionalForm]& ), 
          InterpretationFunction :> (RowBox[{"LineLegend", "[", 
             RowBox[{
               RowBox[{"{", 
                 RowBox[{
                   RowBox[{"Directive", "[", 
                    RowBox[{
                    RowBox[{"PointSize", "[", 
                    FractionBox["1", "180"], "]"}], ",", 
                    InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                    RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
                   ",", 
                   RowBox[{"Directive", "[", 
                    RowBox[{
                    RowBox[{"PointSize", "[", 
                    FractionBox["1", "180"], "]"}], ",", 
                    InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                    RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
                   ",", 
                   RowBox[{"Directive", "[", 
                    RowBox[{
                    RowBox[{"PointSize", "[", 
                    FractionBox["1", "180"], "]"}], ",", 
                    InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                    RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
                   ",", 
                   RowBox[{"Directive", "[", 
                    RowBox[{
                    RowBox[{"PointSize", "[", 
                    FractionBox["1", "180"], "]"}], ",", 
                    InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.922526, 0.385626, 0.209179], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.6150173333333333, 0.25708400000000003`, 
                    0.13945266666666667`], FrameTicks -> None, 
                    PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.922526, 0.385626, 0.209179]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.922526, 0.385626, 0.209179], Editable -> False,
                     Selectable -> False], ",", 
                    RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], 
                    "]"}]}], "}"}], ",", 
               RowBox[{"{", 
                 RowBox[{
                   TagBox[#, HoldForm], ",", 
                   TagBox[#2, HoldForm], ",", 
                   TagBox[#3, HoldForm], ",", 
                   TagBox[#4, HoldForm]}], "}"}], ",", 
               RowBox[{"LegendMarkers", "\[Rule]", 
                 RowBox[{"{", 
                   RowBox[{
                    RowBox[{"{", 
                    RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                    RowBox[{"{", 
                    RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                    RowBox[{"{", 
                    RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                    RowBox[{"{", 
                    RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], 
               ",", 
               RowBox[{"Joined", "\[Rule]", 
                 RowBox[{"{", 
                   RowBox[{"True", ",", "True", ",", "True", ",", "True"}], 
                   "}"}]}], ",", 
               RowBox[{"LabelStyle", "\[Rule]", 
                 RowBox[{"{", "}"}]}], ",", 
               RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
          Editable -> True], TraditionalForm], 
        Scaled[{0.9, 0.8}], 
        ImageScaled[{0.5, 0.5}], FormatType -> StandardForm, 
        BaseStyle -> {FontSize -> Larger}]}}, {
     DisplayFunction -> Identity, DisplayFunction -> Identity, 
      DisplayFunction -> Identity, AspectRatio -> 
      NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
      AxesLabel -> {None, None}, AxesOrigin -> {0, 0}, DisplayFunction :> 
      Identity, Frame -> {{False, False}, {False, False}}, 
      FrameLabel -> {{None, None}, {None, None}}, 
      FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
      GridLines -> {None, None}, GridLinesStyle -> Directive[
        GrayLevel[0.5, 0.4]], ImageSize -> Large, 
      Method -> {
       "OptimizePlotMarkers" -> True, 
        "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& )}}, PlotLabel -> FormBox[
        StyleBox[
        "\"Quantum Walk, 4 vertices\"", 14, Bold, StripOnInput -> False], 
        TraditionalForm], PlotRange -> {{0, 10.}, {0, 1.}}, PlotRangeClipping -> 
      True, PlotRangePadding -> {{
         Scaled[0.02], 
         Scaled[0.02]}, {
         Scaled[0.02], 
         Scaled[0.05]}}, Ticks -> {Automatic, Automatic}}], 
    InterpretTemplate[Legended[
      Graphics[{{}, {{{}, {}, {
           Hue[0.67, 0.6, 0.6], 
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.368417, 0.506779, 0.709798], 
            AbsoluteThickness[1.6]], 
           Line[CompressedData["
1:eJxV23VYVM3bB3C6GxZYcgMVERE7AOcWOx8bRWzFQFDsFgULsVHEQkpKkQ4J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            "]]}, {
           Hue[0.9060679774997897, 0.6, 0.6], 
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.880722, 0.611041, 0.142051], 
            AbsoluteThickness[1.6]], 
           Line[CompressedData["
1:eJxd23VclMvXAHC6OxaWWDbkAmJ3gHMwMLEVsVDEVlBUwELETgQsFFRKBKS7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            "]]}, {
           Hue[0.1421359549995791, 0.6, 0.6], 
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.560181, 0.691569, 0.194885], 
            AbsoluteThickness[1.6]], 
           Line[CompressedData["
1:eJxd23k8lN37B3D7vu8GYxaV0q4FLedKq1aKtC/SopRKWpQnKiktUhQVZQmp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            "]]}, {
           Hue[0.37820393249936934`, 0.6, 0.6], 
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.922526, 0.385626, 0.209179], 
            AbsoluteThickness[1.6]], 
           Line[CompressedData["
1:eJxd23c8lu37B3B7732b90hIQ1sl51GiqSeppJ1KQ6VUaEkaKpVQiqiQrOzs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            "]]}}, {{
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.368417, 0.506779, 0.709798], 
            AbsoluteThickness[1.6]]}, {
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.880722, 0.611041, 0.142051], 
            AbsoluteThickness[1.6]]}, {
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.560181, 0.691569, 0.194885], 
            AbsoluteThickness[1.6]]}, {
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.922526, 0.385626, 0.209179], 
            AbsoluteThickness[1.6]]}}, {{
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.368417, 0.506779, 0.709798], 
            AbsoluteThickness[1.6]]}, {
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.880722, 0.611041, 0.142051], 
            AbsoluteThickness[1.6]]}, {
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.560181, 0.691569, 0.194885], 
            AbsoluteThickness[1.6]]}, {
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.922526, 0.385626, 0.209179], 
            AbsoluteThickness[
            1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {{
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.368417, 0.506779, 0.709798], 
            AbsoluteThickness[1.6]]}, {
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.880722, 0.611041, 0.142051], 
            AbsoluteThickness[1.6]]}, {
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.560181, 0.691569, 0.194885], 
            AbsoluteThickness[1.6]]}, {
           Directive[
            PointSize[
             Rational[1, 180]], 
            RGBColor[0.922526, 0.385626, 0.209179], 
            AbsoluteThickness[
            1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}}, \
{{}, {}}}, {
       DisplayFunction -> Identity, DisplayFunction -> Identity, AspectRatio -> 
        GoldenRatio^(-1), Axes -> {True, True}, AxesLabel -> {None, None}, 
        AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
        Frame -> {{False, False}, {False, False}}, 
        FrameLabel -> {{None, None}, {None, None}}, 
        FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
        GridLines -> {None, None}, GridLinesStyle -> Directive[
          GrayLevel[0.5, 0.4]], ImageSize -> Large, 
        Method -> {
         "OptimizePlotMarkers" -> True, 
          "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
              (Identity[#]& )[
               Part[#, 1]], 
              (Identity[#]& )[
               Part[#, 2]]}& ), "CopiedValueFunction" -> ({
              (Identity[#]& )[
               Part[#, 1]], 
              (Identity[#]& )[
               Part[#, 2]]}& )}}, PlotLabel -> 
        Style["Quantum Walk, 4 vertices", 14, Bold], 
        PlotRange -> {{0, 10.}, {0, 1.}}, PlotRangeClipping -> True, 
        PlotRangePadding -> {{
           Scaled[0.02], 
           Scaled[0.02]}, {
           Scaled[0.02], 
           Scaled[0.05]}}, Ticks -> {Automatic, Automatic}}], 
      Placed[
       Unevaluated[
        LineLegend[{
          Directive[
           PointSize[
            Rational[1, 180]], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[1.6]], 
          Directive[
           PointSize[
            Rational[1, 180]], 
           RGBColor[0.880722, 0.611041, 0.142051], 
           AbsoluteThickness[1.6]], 
          Directive[
           PointSize[
            Rational[1, 180]], 
           RGBColor[0.560181, 0.691569, 0.194885], 
           AbsoluteThickness[1.6]], 
          Directive[
           PointSize[
            Rational[1, 180]], 
           RGBColor[0.922526, 0.385626, 0.209179], 
           AbsoluteThickness[1.6]]}, {
          HoldForm[
           Placeholder[
            Style[1, Smaller]]], 
          HoldForm[
           Placeholder[
            Style[2, Smaller]]], 
          HoldForm[
           Placeholder[
            Style[3, Smaller]]], 
          HoldForm[
           Placeholder[
            Style[4, Smaller]]]}, 
         LegendMarkers -> {{False, Automatic}, {False, Automatic}, {
           False, Automatic}, {False, Automatic}}, 
         Joined -> {True, True, True, True}, LabelStyle -> {}, LegendLayout -> 
         "Column"]], {0.9, 0.8}, Identity]]& ], Editable -> True, Selectable -> 
    True, SelectWithContents -> False, AutoDelete -> True],
   "\"Time (seconds)\"","\"Probability\""},
  "Labeled",
  DisplayFunction->(GridBox[{{
      ItemBox[
       RotationBox[#3, BoxRotation -> 1.5707963267948966`], DefaultBaseStyle -> 
       "LabeledLabel"], 
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"]}, {"", 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, 
    GridBoxItemSize -> {"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
    BaselinePosition -> {1, 2}]& ),
  InterpretationFunction->(RowBox[{"Labeled", "[", 
     RowBox[{#, ",", 
       RowBox[{"{", 
         RowBox[{#2, ",", #3}], "}"}], ",", 
       RowBox[{"{", 
         RowBox[{"Bottom", ",", "Left"}], "}"}], ",", 
       RowBox[{"RotateLabel", "\[Rule]", "True"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{{3.772562324371126*^9, 3.7725623298360357`*^9}, {
   3.7725624781687183`*^9, 3.7725625345992002`*^9}, 3.772813846014616*^9, 
   3.772822882594812*^9, 3.7729037860820675`*^9, {3.7729047392380595`*^9, 
   3.7729047713086815`*^9}, 3.772905220016885*^9, 3.7729052997436695`*^9, 
   3.7729053456862197`*^9, 3.7729776127598696`*^9, 3.772982925439325*^9, {
   3.772982970786832*^9, 3.7729830103329*^9}, 3.7731606639560766`*^9, {
   3.7731618902373595`*^9, 3.7731619011758404`*^9}, {3.7731621070302377`*^9, 
   3.7731621387211056`*^9}, {3.7731624567717886`*^9, 
   3.7731625389565954`*^9}, {3.773180352852681*^9, 3.7731803753976*^9}, 
   3.7731836230099626`*^9, {3.773183871919276*^9, 3.7731838840375404`*^9}, 
   3.7731839404154196`*^9, {3.7731839918961782`*^9, 3.773183999445385*^9}, 
   3.7731877135679474`*^9, {3.773187834905012*^9, 3.773187845481941*^9}, {
   3.773188037408971*^9, 3.7731880752556167`*^9}, 3.7736734038265653`*^9, 
   3.7743552809379835`*^9, {3.7743632067945614`*^9, 3.7743632374676275`*^9}, {
   3.774364008725354*^9, 3.7743640139226894`*^9}, 3.774364123461852*^9},
 CellLabel->
  "Out[145]=",ExpressionUUID->"1d07e196-9cda-485e-b491-9831cee92d3b"],

Cell[BoxData["\<\"2qwalk_mat.png\"\>"], "Output",
 CellChangeTimes->{{3.772562324371126*^9, 3.7725623298360357`*^9}, {
   3.7725624781687183`*^9, 3.7725625345992002`*^9}, 3.772813846014616*^9, 
   3.772822882594812*^9, 3.7729037860820675`*^9, {3.7729047392380595`*^9, 
   3.7729047713086815`*^9}, 3.772905220016885*^9, 3.7729052997436695`*^9, 
   3.7729053456862197`*^9, 3.7729776127598696`*^9, 3.772982925439325*^9, {
   3.772982970786832*^9, 3.7729830103329*^9}, 3.7731606639560766`*^9, {
   3.7731618902373595`*^9, 3.7731619011758404`*^9}, {3.7731621070302377`*^9, 
   3.7731621387211056`*^9}, {3.7731624567717886`*^9, 
   3.7731625389565954`*^9}, {3.773180352852681*^9, 3.7731803753976*^9}, 
   3.7731836230099626`*^9, {3.773183871919276*^9, 3.7731838840375404`*^9}, 
   3.7731839404154196`*^9, {3.7731839918961782`*^9, 3.773183999445385*^9}, 
   3.7731877135679474`*^9, {3.773187834905012*^9, 3.773187845481941*^9}, {
   3.773188037408971*^9, 3.7731880752556167`*^9}, 3.7736734038265653`*^9, 
   3.7743552809379835`*^9, {3.7743632067945614`*^9, 3.7743632374676275`*^9}, {
   3.774364008725354*^9, 3.7743640139226894`*^9}, 3.774364123659404*^9},
 CellLabel->
  "Out[146]=",ExpressionUUID->"dd754901-6e2f-4176-9568-bb5bbcdbe33e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Manipulate", "[", 
  RowBox[{
   RowBox[{"Graph", "[", 
    RowBox[{"G", ",", 
     RowBox[{"VertexSize", "\[Rule]", "0.3"}], ",", 
     RowBox[{"EdgeStyle", "\[Rule]", " ", 
      RowBox[{"{", 
       RowBox[{"Thickness", "[", ".01", "]"}], "}"}]}], ",", 
     RowBox[{"VertexStyle", "\[Rule]", " ", 
      RowBox[{"Table", "[", 
       RowBox[{
        RowBox[{"i", "\[Rule]", " ", 
         RowBox[{"GrayLevel", "[", 
          SuperscriptBox[
           RowBox[{"Norm", "[", 
            RowBox[{
             RowBox[{"\[Psi]1", "[", "t", "]"}], "[", 
             RowBox[{"[", "i", "]"}], "]"}], "]"}], "2"], "]"}]}], ",", 
        RowBox[{"{", 
         RowBox[{"i", ",", "l"}], "}"}]}], "]"}]}], ",", 
     RowBox[{"VertexLabels", "\[Rule]", " ", 
      RowBox[{"Table", "[", 
       RowBox[{
        RowBox[{"i", "\[Rule]", 
         RowBox[{"Placed", "[", 
          RowBox[{
           RowBox[{"Text", "[", 
            RowBox[{"i", ",", 
             RowBox[{"BaseStyle", "\[Rule]", " ", 
              RowBox[{"{", 
               RowBox[{"Large", ",", "Gray"}], "}"}]}]}], "]"}], ",", 
           "Center"}], "]"}]}], ",", 
        RowBox[{"{", 
         RowBox[{"i", ",", "l"}], "}"}]}], "]"}]}], ",", 
     RowBox[{"ImageSize", "\[Rule]", "Large"}]}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"t", ",", "0", ",", "10", ",", "0.1"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.7724786018837657`*^9, 3.7724786498285074`*^9}, {
  3.7724787639050245`*^9, 3.772478781927518*^9}, {3.772478818671494*^9, 
  3.7724788534111013`*^9}, {3.7724788967256145`*^9, 3.772478954734392*^9}, {
  3.7724790121791067`*^9, 3.7724790527667246`*^9}, {3.7724794393849106`*^9, 
  3.772479439517292*^9}, {3.772479867681037*^9, 3.77248005254018*^9}, {
  3.772480108456621*^9, 3.7724801114678545`*^9}, {3.772480253377002*^9, 
  3.7724802549966197`*^9}, {3.7724803180871*^9, 3.772480341642999*^9}, {
  3.772813855527423*^9, 3.7728138557976427`*^9}, {3.772814118689474*^9, 
  3.7728142115906043`*^9}, {3.7728142445778847`*^9, 3.7728142563443394`*^9}, {
  3.77281429957007*^9, 3.772814300783292*^9}, {3.7728144236565223`*^9, 
  3.772814489670268*^9}, {3.7728145379110036`*^9, 3.7728145380464783`*^9}, {
  3.7728146023990536`*^9, 3.772814631131958*^9}},
 CellLabel->"In[74]:=",ExpressionUUID->"5a5d5013-c2e8-4d80-b909-6fcad2c175c5"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`t$$ = 0, Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{
      Hold[$CellContext`t$$], 0, 10, 0.1}}, Typeset`size$$ = {
    576., {142., 147.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`t$10348$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, "Variables" :> {$CellContext`t$$ = 0}, 
      "ControllerVariables" :> {
        Hold[$CellContext`t$$, $CellContext`t$10348$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> 
      Graph[$CellContext`G, VertexSize -> 0.3, EdgeStyle -> {
          Thickness[0.01]}, VertexStyle -> 
        Table[$CellContext`i -> GrayLevel[Norm[
              Part[
               $CellContext`\[Psi]1[$CellContext`t$$], $CellContext`i]]^2], \
{$CellContext`i, $CellContext`l}], VertexLabels -> 
        Table[$CellContext`i -> Placed[
            Text[$CellContext`i, BaseStyle -> {Large, Gray}], 
            Center], {$CellContext`i, $CellContext`l}], ImageSize -> Large], 
      "Specifications" :> {{$CellContext`t$$, 0, 10, 0.1}}, "Options" :> {}, 
      "DefaultOptions" :> {}],
     ImageSizeCache->{627., {189., 195.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{
  3.772562333413006*^9, 3.7725624818712053`*^9, 3.7728138562393436`*^9, {
   3.7728141518220053`*^9, 3.7728142124186645`*^9}, 3.772814259745473*^9, 
   3.7728143021576257`*^9, {3.7728144272728834`*^9, 3.7728144816424985`*^9}, 
   3.7728145383274593`*^9, {3.7728146215433235`*^9, 3.7728146574572554`*^9}, 
   3.7729037951379547`*^9, 3.772905355670534*^9, 3.7729776151892614`*^9, 
   3.772978530170757*^9, {3.7729829357525887`*^9, 3.77298293726558*^9}, 
   3.7731606788698697`*^9, {3.7736733875429244`*^9, 3.7736734167113495`*^9}, {
   3.774355293890829*^9, 3.7743552983901124`*^9}, 3.7743632330636606`*^9},
 CellLabel->"Out[74]=",ExpressionUUID->"43d1c164-77b8-4dca-91eb-c91cafaae3b7"]
}, Open  ]]
},
WindowSize->{958, 988},
WindowMargins->{{-7, Automatic}, {Automatic, 0}},
FrontEndVersion->"12.0 for Microsoft Windows (64-bit) (April 8, 2019)",
StyleDefinitions->"Default.nb"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 3092, 57, 162, "Input",ExpressionUUID->"59681004-b22b-4880-9a32-1fd054829988"],
Cell[CellGroupData[{
Cell[3675, 81, 5425, 119, 270, "Input",ExpressionUUID->"7a19c436-6019-4738-a350-f86aa40b2143"],
Cell[9103, 202, 4538, 90, 306, "Output",ExpressionUUID->"ba4f230a-8dc4-4b8e-9298-b2685efd0971"],
Cell[13644, 294, 1234, 17, 32, "Output",ExpressionUUID->"f74916f8-08a8-4708-8e7f-a37c1214e391"],
Cell[14881, 313, 146097, 2592, 413, "Output",ExpressionUUID->"1d07e196-9cda-485e-b491-9831cee92d3b"],
Cell[160981, 2907, 1232, 17, 89, "Output",ExpressionUUID->"dd754901-6e2f-4176-9568-bb5bbcdbe33e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[162250, 2929, 2344, 50, 101, "Input",ExpressionUUID->"5a5d5013-c2e8-4d80-b909-6fcad2c175c5"],
Cell[164597, 2981, 2685, 50, 403, "Output",ExpressionUUID->"43d1c164-77b8-4dca-91eb-c91cafaae3b7"]
}, Open  ]]
}
]
*)