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