mimiqcircuits.operations.gates.standard.cnp

Controlled-Controlled-Phase (CCP) gate.

Functions

GateCCP(lmbda)

Three qubit Controlled-Controlled-Phase gate.

mimiqcircuits.operations.gates.standard.cnp.GateCCP(lmbda)

Three qubit Controlled-Controlled-Phase gate.

By convention, the first two qubits are the controls and the third is the target

Parameters:

lmbda – Phase angle.

Examples

>>> from mimiqcircuits import *
>>> from symengine import *
>>> lmbda = Symbol('lmbda')
>>> GateCCP(lmbda), GateCCP(lmbda).num_controls, GateCCP(lmbda).num_targets, GateCCP(lmbda).num_qubits
(C₂P(lmbda), 2, 1, 3)
>>> GateCCP(lmbda).matrix()
[1.0, 0, 0, 0, 0, 0, 0, 0]
[0, 1.0, 0, 0, 0, 0, 0, 0]
[0, 0, 1.0, 0, 0, 0, 0, 0]
[0, 0, 0, 1.0, 0, 0, 0, 0]
[0, 0, 0, 0, 1.0, 0, 0, 0]
[0, 0, 0, 0, 0, 1.0, 0, 0]
[0, 0, 0, 0, 0, 0, 1.0, 0]
[0, 0, 0, 0, 0, 0, 0, exp(I*lmbda)]

>>> c = Circuit().push(GateCCP(lmbda), 0, 1, 2)
>>> c
3-qubit circuit with 1 instruction:
└── C₂P(lmbda) @ q[0:1], q[2]

>>> GateCCP(lmbda).power(2), GateCCP(lmbda).inverse()
(C₂P(2*lmbda), C₂P(-lmbda))
>>> GateCCP(lmbda).decompose()
3-qubit circuit with 5 instructions:
├── CP((1/2)*lmbda) @ q[1], q[2]
├── CX @ q[0], q[1]
├── CP((-1/2)*lmbda) @ q[1], q[2]
├── CX @ q[0], q[1]
└── CP((1/2)*lmbda) @ q[0], q[2]