"""This module implements the SqrtCNOTGate."""
from __future__ import annotations
from bqskit.ir.gates.constantgate import ConstantGate
from bqskit.ir.gates.qubitgate import QubitGate
from bqskit.qis.unitary.unitarymatrix import UnitaryMatrix
[docs]
class SqrtCNOTGate(ConstantGate, QubitGate):
"""
The Square root Controlled-X gate.
The SqrtCNOT gate is given by the following unitary:
.. math::
\\begin{pmatrix}
1 & 0 & 0 & 0 \\\\
0 & 1 & 0 & 0 \\\\
0 & 0 & \\frac{1}{2} + \\frac{1}{2}i & \\frac{1}{2} - \\frac{1}{2}i \\\\
0 & 0 & \\frac{1}{2} - \\frac{1}{2}i & \\frac{1}{2} + \\frac{1}{2}i \\\\
\\end{pmatrix}
"""
_num_qudits = 2
_qasm_name = 'csx'
_utry = UnitaryMatrix(
[
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 0.5 + 0.5j, 0.5 - 0.5j],
[0, 0, 0.5 - 0.5j, 0.5 + 0.5j],
],
)