# SXdgGate¶

class SXdgGate(label=None)[source]

The inverse single-qubit Sqrt(X) gate.

$\begin{split}\sqrt{X}^{\dagger} = \frac{1}{2} \begin{pmatrix} 1 - i & 1 + i \\ 1 + i & 1 - i \end{pmatrix}\end{split}$

Note

A global phase difference exists between the definitions of $$RX(-\pi/2)$$ and $$\sqrt{X}^{\dagger}$$.

$\begin{split}RX(-\pi/2) = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 & i \\ i & 1 \end{pmatrix} = e^{-i pi/4} \sqrt{X}^{\dagger}\end{split}$

Create new SXdg gate.

Attributes

 SXdgGate.decompositions Get the decompositions of the instruction from the SessionEquivalenceLibrary. SXdgGate.definition Return definition in terms of other basic gates. SXdgGate.label Return gate label SXdgGate.params return instruction params.

Methods

 SXdgGate.add_decomposition(decomposition) Add a decomposition of the instruction to the SessionEquivalenceLibrary. Assemble a QasmQobjInstruction SXdgGate.broadcast_arguments(qargs, cargs) Validation and handling of the arguments and its relationship. SXdgGate.c_if(classical, val) Add classical condition on register classical and value val. SXdgGate.control([num_ctrl_qubits, label, …]) Return controlled version of gate. SXdgGate.copy([name]) Copy of the instruction. Return inverse SXdg gate (i.e. Return True .IFF. DEPRECATED: use instruction.reverse_ops(). SXdgGate.power(exponent) Creates a unitary gate as gate^exponent. Return a default OpenQASM string for the instruction. Creates an instruction with gate repeated n amount of times. For a composite instruction, reverse the order of sub-instructions. Return a numpy.array for the SXdg gate.