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RXXGate

class RXXGate(theta, label=None)[소스]

기반 클래스: Gate

A parametric 2-qubit \(X \otimes X\) interaction (rotation about XX).

This gate is symmetric, and is maximally entangling at \(\theta = \pi/2\).

Can be applied to a QuantumCircuit with the rxx() method.

Circuit Symbol:

     ┌─────────┐
q_0: ┤1        ├
     │  Rxx(ϴ) │
q_1: ┤0        ├
     └─────────┘

Matrix Representation:

\[ \begin{align}\begin{aligned}\newcommand{\th}{\frac{\theta}{2}}\\\begin{split}R_{XX}(\theta) = \exp\left(-i \th X{\otimes}X\right) = \begin{pmatrix} \cos\left(\th\right) & 0 & 0 & -i\sin\left(\th\right) \\ 0 & \cos\left(\th\right) & -i\sin\left(\th\right) & 0 \\ 0 & -i\sin\left(\th\right) & \cos\left(\th\right) & 0 \\ -i\sin\left(\th\right) & 0 & 0 & \cos\left(\th\right) \end{pmatrix}\end{split}\end{aligned}\end{align} \]

Examples:

\[R_{XX}(\theta = 0) = I\]
\[R_{XX}(\theta = \pi) = i X \otimes X\]
\[\begin{split}R_{XX}\left(\theta = \frac{\pi}{2}\right) = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 & 0 & 0 & -i \\ 0 & 1 & -i & 0 \\ 0 & -i & 1 & 0 \\ -i & 0 & 0 & 1 \end{pmatrix}\end{split}\]

Create new RXX gate.

Methods Defined Here

inverse

Return inverse RXX gate (i.e.

Attributes

condition_bits

Get Clbits in condition.

반환 형식

List[Clbit]

decompositions

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

definition

Return definition in terms of other basic gates.

duration

Get the duration.

label

Return instruction label

반환 형식

str

name

Return the name.

num_clbits

Return the number of clbits.

num_qubits

Return the number of qubits.

params

return instruction params.

unit

Get the time unit of duration.