z inSrSSKJr SSKrSSKJr SSKrSSKJr SSK J r J r SSK J r "SS \5rg) zTwo-qubit XX-rotation gate.) annotationsN)Optional)Gate)ParameterValueTypeParameterExpression) StandardGatec^\rSrSrSr\R rS S U4SjjjrSr S SU4Sjjjr SSSjjr SSjr SSSjjr S rS rU=r$)RXXGateuA parametric 2-qubit :math:`X \otimes X` interaction (rotation about XX). This gate is symmetric, and is maximally entangling at :math:`\theta = \pi/2`. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.rxx` method. Circuit symbol: .. code-block:: text ┌─────────┐ q_0: ┤1 ├ │ Rxx(ϴ) │ q_1: ┤0 ├ └─────────┘ Matrix representation: .. math:: \newcommand{\rotationangle}{\frac{\theta}{2}} R_{XX}(\theta) = \exp\left(-i \rotationangle X{\otimes}X\right) = \begin{pmatrix} \cos\left(\rotationangle\right) & 0 & 0 & -i\sin\left(\rotationangle\right) \\ 0 & \cos\left(\rotationangle\right) & -i\sin\left(\rotationangle\right) & 0 \\ 0 & -i\sin\left(\rotationangle\right) & \cos\left(\rotationangle\right) & 0 \\ -i\sin\left(\rotationangle\right) & 0 & 0 & \cos\left(\rotationangle\right) \end{pmatrix} Examples: .. math:: R_{XX}(\theta = 0) = I .. math:: R_{XX}(\theta = \pi) = -i X \otimes X .. math:: R_{XX}\left(\theta = \frac{\pi}{2}\right) = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 & 0 & 0 & -i \\ 0 & 1 & -i & 0 \\ 0 & -i & 1 & 0 \\ -i & 0 & 0 & 1 \end{pmatrix} c(>[TU]SSU/US9 g)zQ Args: theta: The rotation angle. label: An optional label for the gate. rxx)labelN)super__init__)selfthetar __class__s c/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/library/standard_gates/rxx.pyrRXXGate.__init__Ps E7%8cSSKJn UR[RR UR 5SURS9Ulg)zDefault definitionr)QuantumCircuitT) legacy_qubitsnameN) qiskit.circuitr_from_circuit_datarRXX_get_definitionparamsr definition)rrs r_defineRXXGate._defineXsC 2);;    , ,T[[ 9TXT]T]< rcf>Uc[SUR55n[TU] UUUUS9nU$)aCReturn a (multi-)controlled-RXX gate. Args: num_ctrl_qubits: number of control qubits. label: An optional label for the gate [Default: ``None``] ctrl_state: control state expressed as integer, string (e.g.``'110'``), or ``None``. If ``None``, use all 1s. annotated: indicates whether the controlled gate should be implemented as an annotated gate. If ``None``, this is set to ``True`` if the gate contains free parameters, in which case it cannot yet be synthesized. Returns: ControlledGate: controlled version of this gate. c3B# UHn[U[5v M g7fN) isinstancer).0ps r "RXXGate.control..~sT 1Jq*=>> s)num_ctrl_qubitsr ctrl_state annotated)anyr rcontrol)rr,rr-r.gaters rr0RXXGate.controlgsE,  T TTIw+!    rc4[URS*5$)aReturn inverse RXX gate (i.e. with the negative rotation angle). Args: annotated: when set to ``True``, this is typically used to return an :class:`.AnnotatedOperation` with an inverse modifier set instead of a concrete :class:`.Gate`. However, for this class this argument is ignored as the inverse of this gate is always a :class:`.RXXGate` with an inverted parameter value. Returns: RXXGate: inverse gate. r)r r )rr.s rinverseRXXGate.inverses A''rc USLa [S5e[URS5S- n[R"U5nS[R "U5-n[ R"USSU*/SXE*S/SU*US/U*SSU//US9$)z&Return a Numpy.array for the RXX gate.Fz9unable to avoid copy while creating an array as requestedrry?)dtype) ValueErrorfloatr mathcossinnumpyarray)rr7copytheta2r;isins r __array__RXXGate.__array__s 5=XY Yt{{1~&*hhvDHHV$${{1a$ !S%!3a$Q5G4%QRTUWZI[ \  rc8URun[X-5$r&)r r )rexponentr.rs rpower RXXGate.powers;;x'((rcP[U[5(aURU5$g)NF)r'r _compare_parameters)rothers r__eq__RXXGate.__eq__s# eW % %++E2 2r)r!r&)rrrz Optional[str])NNN)r,intrz str | Noner-zstr | int | Noner.z bool | None)F)r.bool)NN)rEr9r.rO)__name__ __module__ __qualname____firstlineno____doc__rr_standard_gaterr"r0r4rBrFrK__static_attributes__ __classcell__)rs@rr r s}2h"%%N99  " ! '+!% %   B (  )rr )rT __future__rr:typingrr=qiskit.circuit.gater"qiskit.circuit.parameterexpressionrrqiskit._accelerate.circuitrr rrr^s-""  $V3PdPr