Source code for mimiqcircuits.operations.gates.standard.dcx

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import mimiqcircuits.operations.gates.gate as mcg
from mimiqcircuits.operations.gates.standard.cpauli import GateCX
from symengine import Matrix
import mimiqcircuits as mc


[docs] class GateDCX(mcg.Gate): r"""Two qubit double-CNOT gate. A two qubit Clifford gate consisting of two back-to-back CNOTs with alternate controls. **Matrix representation:** .. math:: \operatorname{DCX} =\begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 \end{pmatrix} Examples: >>> from mimiqcircuits import * >>> GateDCX() DCX >>> GateDCX().matrix() [1.0, 0, 0, 0] [0, 0, 1.0, 0] [0, 0, 0, 1.0] [0, 1.0, 0, 0] <BLANKLINE> >>> c = Circuit().push(GateDCX(), 0, 1) >>> c 2-qubit circuit with 1 instructions: └── DCX @ q[0,1] <BLANKLINE> >>> GateDCX().power(2), GateDCX().inverse() (DCX†, DCX†) >>> GateDCX().decompose() 2-qubit circuit with 2 instructions: ├── CX @ q[0], q[1] └── CX @ q[1], q[0] <BLANKLINE> """ _num_qubits = 2 _qregsizes = [2] _name = "DCX" def _matrix(self): return Matrix( [ [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0], [0.0, 1.0, 0.0, 0.0], ] ) def _power(self, p): pmod = p % 3 if pmod == 1: return self if pmod == 2: return mc.Inverse(self) if pmod == 0: return mc.GateID().parallel(2) def _decompose(self, circ, qubits, bits, zvars): a, b = qubits circ.push(GateCX(), a, b) circ.push(GateCX(), b, a) return circ