quantum/Bell State.ipynb

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   "source": [
    "# Bell State\n",
    "\n",
    "[Back](https://mark1626.github.io/knowledge/)\n",
    "\n",
    "The Bell states are a specific quantum states of two qubits that represent the quantum entanglement\n",
    "\n",
    "Bell state can be used to represent GHZ state\n",
    "\n"
   ]
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       "<Figure size 206.852x144.48 with 1 Axes>"
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   "source": [
    "from qiskit import QuantumCircuit\n",
    "\n",
    "circuit = QuantumCircuit(2)\n",
    "circuit.h(0)\n",
    "circuit.cx(0, 1)\n",
    "\n",
    "circuit.draw(\"mpl\")"
   ]
  },
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   "source": [
    "## Simulating an ideal circuit"
   ]
  },
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   "id": "d8735c43",
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      "text/latex": [
       "$$\n",
       "\n",
       "\\begin{bmatrix}\n",
       "\\tfrac{1}{\\sqrt{2}} & 0 & 0 & \\tfrac{1}{\\sqrt{2}}  \\\\\n",
       " \\end{bmatrix}\n",
       "$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.quantum_info import Statevector\n",
    "from qiskit.visualization import array_to_latex\n",
    "\n",
    "state = Statevector.from_int(0, 2**2)\n",
    "state = state.evolve(circuit)\n",
    "\n",
    "array_to_latex(state)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0062f46",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "- [Bell State](https://en.wikipedia.org/wiki/Bell_state)\n"
   ]
  }
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