mimiqcircuits.operations.gates.standard.cphase¶

Controlled-Phase gate.

Classes

GateCP([num_controls, operation])

Two qubit Controlled-Phase gate.

class mimiqcircuits.operations.gates.standard.cphase.GateCP(num_controls=None, operation=None, *args, **kwargs)[source]¶

Bases: Control

Two qubit Controlled-Phase gate.

By convention, the first qubit is the control and the second is the target

See Also GateP

Matrix representation:

\[\begin{split}\operatorname{CP}(\lambda) = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & e^{i\lambda} \end{pmatrix}\end{split}\]

Parameters:: lmbda – Phase angle in radians.

Examples

>>> from mimiqcircuits import *
>>> from symengine import *
>>> lmbda = Symbol('lambda')
>>> GateCP(lmbda), GateCP(lmbda).num_controls, GateCP(lmbda).num_targets, GateCP(lmbda).num_qubits
(CP(lambda), 1, 1, 2)
>>> GateCP(lmbda).matrix()
[1.0, 0, 0, 0]
[0, 1.0, 0, 0]
[0, 0, 1.0, 0]
[0, 0, 0, exp(I*lambda)]

>>> c = Circuit().push(GateCP(lmbda), 10, 11)
>>> c
12-qubit circuit with 1 instruction:
└── CP(lambda) @ q[10], q[11]

>>> GateCP(lmbda).decompose()
2-qubit circuit with 5 instructions:
├── P((1/2)*lambda) @ q[0]
├── CX @ q[0], q[1]
├── P((-1/2)*lambda) @ q[1]
├── CX @ q[0], q[1]
└── P((1/2)*lambda) @ q[1]

__init__(lmbda_or_num_controls, num_controls_or_operation=None, operation=None)[source]¶

Initialize a CP gate.

Parameters:

lmbda_or_num_controls – Phase angle in radians when called directly, or num_controls when called from Control’s canonical creation.
num_controls_or_operation – Ignored when called directly, or the GateP operation when called from Control’s canonical creation.
operation – Ignored (for compatibility).