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# Copyright © 2022-2023 University of Strasbourg. All Rights Reserved.
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import mimiqcircuits.operations.gates.gate as mcg
from mimiqcircuits.operations.gates.standard.cpauli import GateCX
from mimiqcircuits.operations.gates.standard.hadamard import GateH
from mimiqcircuits.operations.gates.standard.s import GateS
from symengine import Matrix, I
[docs]
class GateISWAP(mcg.Gate):
r""" Two qubit ISWAP gate.
See Also :func:`GateISWAPDG` and :func:`GateSWAP`
**Matrix representation:**
.. math::
\operatorname{ISWAP} = \begin{pmatrix}
1 & 0 & 0 & 0 \\
0 & 0 & i & 0 \\
0 & i & 0 & 0 \\
0 & 0 & 0 & 1
\end{pmatrix}
Examples:
>>> from mimiqcircuits import *
>>> GateISWAP()
ISWAP
>>> GateISWAP().matrix()
[1.0, 0, 0, 0]
[0, 0, 0.0 + 1.0*I, 0]
[0, 0.0 + 1.0*I, 0, 0]
[0, 0, 0, 1.0]
<BLANKLINE>
>>> c = Circuit().push(GateISWAP(), 0, 1)
>>> GateISWAP().power(2), GateISWAP().inverse()
(ISWAP**2, ISWAP†)
>>> GateISWAP().decompose()
2-qubit circuit with 6 instructions:
├── S @ q[0]
├── S @ q[1]
├── H @ q[0]
├── CX @ q[0], q[1]
├── CX @ q[1], q[0]
└── H @ q[1]
<BLANKLINE>
"""
_name = 'ISWAP'
_num_qubits = 2
_qregsizes = [2]
def _matrix(self):
return Matrix([
[1, 0, 0, 0], [0, 0, I, 0], [0, I, 0, 0], [0, 0, 0, 1]
])
def _decompose(self, circ, qubits, bits):
c, t = qubits
circ.push(GateS(), c)
circ.push(GateS(), t)
circ.push(GateH(), c)
circ.push(GateCX(), c, t)
circ.push(GateCX(), t, c)
circ.push(GateH(), t)
return circ
