g dZddlmZddlZddlmZddlmZddl m Z m Z ddl m Z dd lmZdd lmZeed ejgd gd gdgdgzGdde ZdS)zTwo-qubit ZX-rotation gate.)sqrtN)with_gate_array)QuantumRegister) SingletonGatestdlib_singleton_key) StandardGate)RZXGate)XGateg?)rr r?)r rr)rr rr )r rr rcheZdZdZejZd dddfd ZeZ dZ d de fd Z d Z xZS) ECRGateu An 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 ┌─────────┐ ┌────────────┐┌────────┐┌─────────────┐ q_0: ┤0 ├ q_0: ┤0 ├┤ RX(pi) ├┤0 ├ │ ECR │ = │ RZX(pi/4) │└────────┘│ RZX(-pi/4) │ q_1: ┤1 ├ q_1: ┤1 ├──────────┤1 ├ └─────────┘ └────────────┘ └─────────────┘ **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} Ndt)durationunitcVtddg|||dS)zCreate new ECR gate.ecr)labelrrN)super__init__)selfrrr __class__s _/granary/edev/quantum/lib/python3.11/site-packages/qiskit/circuit/library/standard_gates/ecr.pyrzECRGate.__init__Zs. 2UXDQQQQQcddlm}tdd}|||j}t t jdz |d|dggft|dggft t j dz |d|dggfg}|D]\}}}||||||_ dS) zH gate ecr a, b { rzx(pi/4) a, b; x a; rzx(-pi/4) a, b;} r)QuantumCircuitrq)namer N) qiskit.circuit.quantumcircuitrrr r nppir _append definition)rrrqcrulesinstrqargscargss r_definezECRGate._define`s A@@@@@ As # # ^ADI . . . RUQY  !A$!r 2 WWqtfb ! beVaZ 1Q41, 3  $) , , E5% JJueU + + + +rF annotatedctS)aReturn inverse ECR gate (itself). Args: annotated: when set to ``True``, this is typically used to return an :class:`.AnnotatedOperation` with an inverse modifier set instead of a concrete :class:`.Gate`. However, for this class this argument is ignored as this gate is self-inverse. Returns: ECRGate: inverse gate (self-inverse). )r)rr-s rinversezECRGate.inversessyyrc,t|tSN) isinstancer)rothers r__eq__zECRGate.__eq__s%)))rr1)F)__name__ __module__ __qualname____doc__rr_standard_gaterr_singleton_lookup_keyr,boolr/r4 __classcell__)rs@rrrs99v")NRt$RRRRRRR1022&      *******rr)r8mathrnumpyr#qiskit.circuit._utilsrqiskit.circuit.quantumregisterrqiskit.circuit.singletonrrqiskit._accelerate.circuitrrzxr xr arrayrrrrGs1"!111111::::::HHHHHHHH333333DII///+;+;+;___N^N^N^_```f*f*f*f*f*mf*f*f*f*f*r