z i SrSSKJr SSKJr SSKrSSKJr SSK J r J r SSK J r \"\"S5\R"/S Q/S Q/S Q/S Q/5-5"S S\ 55rg)zTwo-qubit ZX-rotation gate.) annotations)sqrtN)with_gate_array) SingletonGatestdlib_singleton_key) StandardGateg?)rr?)r rr)rr rr )r rr rct^\rSrSrSr\R rSS U4Sjjjr\ "5r Sr S S Sjjr Sr SrU=r$) ECRGateuAn echoed cross-resonance gate. This gate is maximally entangling and is equivalent to a CNOT up to single-qubit pre-rotations. The echoing procedure mitigates some unwanted terms (terms other than ZX) to cancel in an experiment. More specifically, this gate implements :math:`\frac{1}{\sqrt{2}}(IX-XY)`. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.ecr` method. Circuit symbol: .. code-block:: text global phase: 7π/4 ┌─────────┐ ┌───┐ ┌───┐ q_0: ┤0 ├ q_0: ┤ S ├───■──┤ X ├ │ ECR │ = ├───┴┐┌─┴─┐└───┘ q_1: ┤1 ├ q_1: ┤ √X ├┤ X ├───── └─────────┘ └────┘└───┘ Matrix representation: .. math:: ECR\ q_0, q_1 = \frac{1}{\sqrt{2}} \begin{pmatrix} 0 & 1 & 0 & i \\ 1 & 0 & -i & 0 \\ 0 & i & 0 & 1 \\ -i & 0 & 1 & 0 \end{pmatrix} .. note:: In Qiskit's convention, higher qubit indices are more significant (little endian convention). In the above example we apply the gate on (q_0, q_1) which results in the :math:`X \otimes Z` tensor order. Instead, if we apply it on (q_1, q_0), the matrix will be :math:`Z \otimes X`: .. code-block:: text ┌─────────┐ q_0: ┤1 ├ │ ECR │ q_1: ┤0 ├ └─────────┘ .. math:: ECR\ q_0, q_1 = \frac{1}{\sqrt{2}} \begin{pmatrix} 0 & 0 & 1 & i \\ 0 & 0 & i & 1 \\ 1 & -i & 0 & 0 \\ -i & 1 & 0 & 0 \end{pmatrix} c&>[TU]SS/US9 g)z2 Args: label: An optional label for the gate. ecr)labelN)super__init__)selfr __class__s c/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/library/standard_gates/ecr.pyrECRGate.__init__[s 2U3cSSKJn UR[RR UR 5SURS9Ulg)z7Default definition (in terms of simpler Clifford gates)r)QuantumCircuitT) legacy_qubitsnameN) qiskit.circuitr_from_circuit_datarECR_get_definitionparamsr definition)rrs r_defineECRGate._definedsC 2);;    , ,T[[ 9TXT]T]< rc[5$)amReturn inverse ECR gate (itself). 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 this gate is self-inverse. Returns: ECRGate: inverse gate (self-inverse). )r )r annotateds rinverseECRGate.inversets yrc"[U[5$N) isinstancer )rothers r__eq__ECRGate.__eq__s%))r)r#r+)rz str | NonereturnNone)F)r'bool)__name__ __module__ __qualname____firstlineno____doc__rr _standard_gaterr_singleton_lookup_keyr$r(r.__static_attributes__ __classcell__)rs@rr r s?;z"%%N4412 **rr )r7 __future__rmathrnumpynpqiskit.circuit._utilsrqiskit.circuit.singletonrrqiskit._accelerate.circuitrarrayr rrrEs_""1H3I/+;_N^_``h*mh*h*r