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import mimiqcircuits as mc
[docs]
class GateCCP(mc.Control):
r"""Three qubit Controlled-Controlled-Phase gate.
By convention, the first two qubits are the controls and the third is the
target
Arguments:
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)]
<BLANKLINE>
>>> c = Circuit().push(GateCCP(lmbda), 0, 1, 2)
>>> c
3-qubit circuit with 1 instructions:
└── C₂P(lmbda) @ q[0,1], q[2]
<BLANKLINE>
>>> 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]
<BLANKLINE>
"""
def __init__(self, *args, **kwargs):
super().__init__(2, mc.GateP(*args, **kwargs))
def _decompose(self, circ, qubits, bits, zvars):
c1, c2, t = qubits
lmbda = self.op.lmbda
circ.push(mc.GateCP(lmbda / 2), c2, t)
circ.push(mc.GateCX(), c1, c2)
circ.push(mc.GateCP(-lmbda / 2), c2, t)
circ.push(mc.GateCX(), c1, c2)
circ.push(mc.GateCP(lmbda / 2), c1, t)
return circ