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Fixed typo of C_{U} and Controlled Z gate #1313

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May 17, 2022
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Summary

Fixed typo of C_{U} and Controlled Z gate

Details and comments

  1. Fixed typo of C_{U}:
    "$$C_{(jk), (lm)} = \left(\underset{\text{qubit}~1}{\left\langle j \right|} \otimes \underset{\text{qubit}~0}{\left\langle k \right|}\right) C_{U} \left(\underset{\text{qubit}~1}{\left| l \right\rangle} \otimes \underset{\text{qubit}~0}{\left| k \right\rangle}\right),$$\n"

It should be

"$$C_{(jk), (lm)} = \left(\underset{\text{qubit}~1}{\left\langle j \right|} \otimes \underset{\text{qubit}~0}{\left\langle k \right|}\right) C_{U} \left(\underset{\text{qubit}~1}{\left| l \right\rangle} \otimes \underset{\text{qubit}~0}{\left| m \right\rangle}\right),$$\n"

  1. Fix typo of Controlled Z gate:
    "#### Controlled $Z$ (or, controlled Phase) gate\n"

It should be
"#### Controlled $Z$ (or, controlled Phase-Flip) gate\n"

ref:
Page 319
Michael A. Nielsen, Isaac L. Chuang, Quantum Computation and Quantum Information, 2010

control_Z

Fixed typo of C_{U}:
"$$C_{(jk), (lm)} = \\left(\\underset{\\text{qubit}~1}{\\left\\langle j \\right|} \\otimes \\underset{\\text{qubit}~0}{\\left\\langle k \\right|}\\right) C_{U} \\left(\\underset{\\text{qubit}~1}{\\left| l \\right\\rangle} \\otimes \\underset{\\text{qubit}~0}{\\left| k \\right\\rangle}\\right),$$\n"

It should be 

"$$C_{(jk), (lm)} = \\left(\\underset{\\text{qubit}~1}{\\left\\langle j \\right|} \\otimes \\underset{\\text{qubit}~0}{\\left\\langle k \\right|}\\right) C_{U} \\left(\\underset{\\text{qubit}~1}{\\left| l \\right\\rangle} \\otimes \\underset{\\text{qubit}~0}{\\left| m \\right\\rangle}\\right),$$\n"
Fix typo of Controlled Z gate:
"#### Controlled $Z$ (or, controlled Phase) gate\n"

It should be
"#### Controlled $Z$ (or, controlled Phase-Flip) gate\n"

ref:
Page 319
Michael A. Nielsen, Isaac L. Chuang, Quantum Computation and Quantum Information, 2010
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@garrison garrison mentioned this pull request May 16, 2022
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@HuangJunye HuangJunye left a comment

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Good catch! Thanks for making the contribution!

@mergify mergify bot merged commit 9bd7cc2 into Qiskit:master May 17, 2022
ElePT pushed a commit to ElePT/qiskit-tutorials that referenced this pull request Nov 23, 2022
* Fixed typo of C_{U}

Fixed typo of C_{U}:
"$$C_{(jk), (lm)} = \\left(\\underset{\\text{qubit}~1}{\\left\\langle j \\right|} \\otimes \\underset{\\text{qubit}~0}{\\left\\langle k \\right|}\\right) C_{U} \\left(\\underset{\\text{qubit}~1}{\\left| l \\right\\rangle} \\otimes \\underset{\\text{qubit}~0}{\\left| k \\right\\rangle}\\right),$$\n"

It should be 

"$$C_{(jk), (lm)} = \\left(\\underset{\\text{qubit}~1}{\\left\\langle j \\right|} \\otimes \\underset{\\text{qubit}~0}{\\left\\langle k \\right|}\\right) C_{U} \\left(\\underset{\\text{qubit}~1}{\\left| l \\right\\rangle} \\otimes \\underset{\\text{qubit}~0}{\\left| m \\right\\rangle}\\right),$$\n"

* Fix typo of Controlled Z gate

Fix typo of Controlled Z gate:
"#### Controlled $Z$ (or, controlled Phase) gate\n"

It should be
"#### Controlled $Z$ (or, controlled Phase-Flip) gate\n"

ref:
Page 319
Michael A. Nielsen, Isaac L. Chuang, Quantum Computation and Quantum Information, 2010

Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>
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