Source code for mimiqcircuits.operations.gates.standard.chadamard
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import mimiqcircuits as mc
[docs]
class GateCH(mc.Control):
r"""Two qubit Controlled-Hadamard gate.
By convention, the first qubit is the control and the second is
the target
**Matrix representation:**
.. math::
\operatorname{CH} = \begin{pmatrix}
1 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 \\
0 & 0 & \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\
0 & 0 & \frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}}
\end{pmatrix}
Examples:
>>> from mimiqcircuits import *
>>> GateCH(), GateCH().num_controls, GateCH().num_targets, GateCH().num_qubits
(CH, 1, 1, 2)
>>> GateCH().matrix()
[1.0, 0, 0, 0]
[0, 1.0, 0, 0]
[0, 0, 0.707106781186548, 0.707106781186548]
[0, 0, 0.707106781186548, -0.707106781186548]
<BLANKLINE>
>>> c = Circuit().push(GateCH(), 0, 1)
>>> c
2-qubit circuit with 1 instructions:
└── CH @ q[0], q[1]
<BLANKLINE>
>>> GateCH().power(2), GateCH().inverse()
(CID, CH)
>>> GateCH().decompose()
2-qubit circuit with 7 instructions:
├── S @ q[1]
├── H @ q[1]
├── T @ q[1]
├── CX @ q[0], q[1]
├── T† @ q[1]
├── H @ q[1]
└── S† @ q[1]
<BLANKLINE>
"""
def __init__(self):
super().__init__(1, mc.GateH())
def _decompose(self, circ, qubits, bits):
c, t = qubits
circ.push(mc.GateS(), t)
circ.push(mc.GateH(), t)
circ.push(mc.GateT(), t)
circ.push(mc.GateCX(), c, t)
circ.push(mc.GateTDG(), t)
circ.push(mc.GateH(), t)
circ.push(mc.GateSDG(), t)
return circ