"""This module implements the SqrtISwapGate."""
from __future__ import annotations
import math
from bqskit.ir.gates.constantgate import ConstantGate
from bqskit.ir.gates.qubitgate import QubitGate
from bqskit.qis.unitary.unitarymatrix import UnitaryMatrix
[docs]
class SqrtISwapGate(ConstantGate, QubitGate):
"""
The square root two qubit swap and phase iSWAP gate.
The SqrtISwap gate is given by the following unitary:
.. math::
\\begin{pmatrix}
1 & 0 & 0 & 0 \\\\
0 & \\frac{1}{\\sqrt{2}} & \\frac{i}{\\sqrt{2}} & 0 \\\\
0 & \\frac{i}{\\sqrt{2}} & \\frac{1}{\\sqrt{2}} & 0 \\\\
0 & 0 & 0 & 1 \\\\
\\end{pmatrix}
"""
_num_qudits = 2
_qasm_name = 'sqisw'
_utry = UnitaryMatrix(
[
[1, 0, 0, 0],
[0, 1 / math.sqrt(2), 1j / math.sqrt(2), 0],
[0, 1j / math.sqrt(2), 1 / math.sqrt(2), 0],
[0, 0, 0, 1],
],
)