Source code for mimiqcircuits.operations.gates.standard.phase
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# Licensed under the Apache License, Version 2.0 (the "License");
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# http://www.apache.org/licenses/LICENSE-2.0
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import mimiqcircuits as mc
from mimiqcircuits.matrices import pmatrix
from mimiqcircuits.operations.utils import control_one_defined
[docs]
class GateP(mc.Gate):
r"""Single qubit Phase gate.
**Matrix representation:**
.. math::
\operatorname{P}(\lambda) =
\operatorname{U}(0,0,\lambda) =
\begin{pmatrix}
1 & 0 \\
0 & \mathrm{e}^{i\lambda}
\end{pmatrix}
Parameters:
lambda: Phase angle
Examples:
>>> from mimiqcircuits import *
>>> from symengine import *
>>> lmbda = Symbol('lambda')
>>> GateP(lmbda)
P(lambda)
>>> GateP(lmbda).matrix()
[1.0, 0]
[0, exp(I*lambda)]
<BLANKLINE>
>>> c = Circuit().push(GateP(lmbda), 0)
>>> c
1-qubit circuit with 1 instructions:
└── P(lambda) @ q[0]
<BLANKLINE>
>>> GateP(lmbda).power(2), GateP(lmbda).inverse()
(P(2*lambda), P(-lambda))
>>> GateP(lmbda).decompose()
1-qubit circuit with 1 instructions:
└── U(0, 0, lambda, 0.0) @ q[0]
<BLANKLINE>
"""
_name = 'P'
_num_qubits = 1
_qregsizes = [1]
_parnames = ('lmbda',)
def __init__(self, lmbda):
self.lmbda = lmbda
def _matrix(self):
return (pmatrix(self.lmbda))
[docs]
def inverse(self):
return GateP(-self.lmbda)
def _power(self, p):
return GateP(self.lmbda * p)
def _control(self, n):
return control_one_defined(n, self, mc.GateCP(self.lmbda), mc.GateCCP(self.lmbda))
def _decompose(self, circ, qubits, bits):
q = qubits
circ.push(mc.GateU(0, 0, self.lmbda), q)
return circ