mimiqcircuits.operations.gates.standard.iswap

iSWAP and iSWAP† gates.

Classes

GateISWAP()	Two qubit ISWAP gate.
GateISWAPDG([operation])	Two qubit ISWAP† (iSWAP dagger) gate.

class mimiqcircuits.operations.gates.standard.iswap.GateISWAP

Bases: Gate

Two qubit ISWAP gate.

See Also GateISWAPDG and GateSWAP

Matrix representation:

\[\begin{split}\operatorname{ISWAP} = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 0 & i & 0 \\ 0 & i & 0 & 0 \\ 0 & 0 & 0 & 1 \end{pmatrix}\end{split}\]

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]

>>> 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]

inverse()

Raise an error, as non-unitary operators cannot be inverted.

This method is not implemented for non-unitary operators and will raise a NotImplementedError if called.

Raises:

NotImplementedError – If the method is called.

class mimiqcircuits.operations.gates.standard.iswap.GateISWAPDG(operation=None, *args, **kwargs)

Bases: Inverse

Two qubit ISWAP† (iSWAP dagger) gate.

See Also GateISWAP and GateSWAP

Matrix representation:

\[\begin{split}\operatorname{ISWAP}^\dagger = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 0 & -i & 0 \\ 0 & -i & 0 & 0 \\ 0 & 0 & 0 & 1 \end{pmatrix}\end{split}\]

Examples

>>> from mimiqcircuits import *
>>> GateISWAPDG()
ISWAP†
>>> GateISWAPDG().matrix()
[1.0, 0, 0, 0]
[0, 0, 6.12323399573677e-17 - 1.0*I, 0]
[0, 6.12323399573677e-17 - 1.0*I, 0, 0]
[0, 0, 0, 1.0]

>>> c = Circuit().push(GateISWAPDG(), 0, 1)
>>> GateISWAPDG().power(2), GateISWAPDG().inverse()
(ISWAP†**2, ISWAP)
>>> GateISWAPDG().decompose()
2-qubit circuit with 6 instructions:
├── H @ q[1]
├── CX @ q[1], q[0]
├── CX @ q[0], q[1]
├── H @ q[0]
├── S† @ q[1]
└── S† @ q[0]

__init__(operation=None)

Initialize an ISWAP† gate.

inverse()

Raise an error, as non-unitary operators cannot be inverted.

This method is not implemented for non-unitary operators and will raise a NotImplementedError if called.

Raises:

NotImplementedError – If the method is called.

isopalias()