"""This module implements the SqrtXGate/SXGate."""
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 SqrtXGate(ConstantGate, QubitGate):
"""
The Sqrt(X) gate.
The SX gate is given by the following unitary:
.. math::
\\begin{pmatrix}
\\frac{1}{2} + \\frac{1}{2}i & \\frac{1}{2} - \\frac{1}{2}i \\\\
\\frac{1}{2} - \\frac{1}{2}i & \\frac{1}{2} + \\frac{1}{2}i \\\\
\\end{pmatrix}
"""
_num_qudits = 1
_qasm_name = 'sx'
_utry = UnitaryMatrix(
[
[0.5 + 0.5j, 0.5 - 0.5j],
[0.5 - 0.5j, 0.5 + 0.5j],
],
)
SXGate = SqrtXGate