"""This module implements the IToffoliGate."""
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 IToffoliGate(ConstantGate, QubitGate):
"""
The IToffoliGate gate, equal to an iX gate with two controls.
The iToffoli gate is given by the following unitary:
.. math::
\\begin{pmatrix}
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\
0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\\\
0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\\\
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\\\
0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\\\
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\\\
0 & 0 & 0 & 0 & 0 & 0 & 0 & i \\\\
0 & 0 & 0 & 0 & 0 & 0 & i & 0 \\\\
\\end{pmatrix}
References:
Kim, Y., Morvan, A., Nguyen, L.B. et al. High-fidelity three-qubit
iToffoli gate for fixed-frequency superconducting qubits. Nat. Phys.
(2022). https://doi.org/10.1038/s41567-022-01590-3
"""
_num_qudits = 3
_qasm_name = 'iccx'
_utry = UnitaryMatrix(
[
[1, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1j],
[0, 0, 0, 0, 0, 0, 1j, 0],
],
)