gdZddlmZddlmZmZddlmZmZm Z ddl m Z ddl m Z mZddlmZddgd dggZe eGd d eZeed GddeZdS)zY and CY gates.)pi)OptionalUnion) SingletonGateSingletonControlledGatestdlib_singleton_key)QuantumRegister)with_gate_arraywith_controlled_gate_array) StandardGateyy?c eZdZdZejZdddddeeffdZ e Z dZ dd e deed eeee fd effd Zdd efdZdZxZS)YGateuThe single-qubit Pauli-Y gate (:math:`\sigma_y`). Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.y` method. **Matrix Representation:** .. math:: Y = \begin{pmatrix} 0 & -i \\ i & 0 \end{pmatrix} **Circuit symbol:** .. code-block:: text ┌───┐ q_0: ┤ Y ├ └───┘ Equivalent to a :math:`\pi` radian rotation about the Y axis. .. note:: A global phase difference exists between the definitions of :math:`RY(\pi)` and :math:`Y`. .. math:: RY(\pi) = \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix} = -i Y The gate is equivalent to a bit and phase flip. .. math:: |0\rangle \rightarrow i|1\rangle \\ |1\rangle \rightarrow -i|0\rangle Ndt)durationunitlabelcVtddg|||dS)zCreate new Y gate.y)rrrN)super__init__)selfrrr __class__s ]/granary/edev/quantum/lib/python3.11/site-packages/qiskit/circuit/library/standard_gates/y.pyrzYGate.__init__Ls. a58$OOOOOc ddlm}ddlm}t dd}|||j}|t t dz t dz |dggfg}|D]\}}}||||||_dS)NrQuantumCircuitr)U3Gateqname) qiskit.circuit.quantumcircuitru3rr r"r_append definition) rrrr qcrulesinstrqargscargss r_definez YGate._defineRs@@@@@@ As # # ^ADI . . .&R!VR!V,,qtfb9:#( , , E5% JJueU + + + +rrFnum_ctrl_qubits ctrl_state annotatedc|s|dkrt|||j}n%t||||}|S)a2Return a (multi-)controlled-Y gate. One control returns a CY gate. Args: num_ctrl_qubits: number of control qubits. label: An optional label for the gate [Default: ``None``] ctrl_state: control state expressed as integer, string (e.g.``'110'``), or ``None``. If ``None``, use all 1s. annotated: indicates whether the controlled gate should be implemented as an annotated gate. Returns: ControlledGate: controlled version of this gate. r)rr/ _base_label)r.rr/r0)CYGaterrcontrol)rr.rr/r0gaters rr4z YGate.control_s^, _11*$*UUUDD77?? /%# #D  rctS)aReturn inverted Y gate (:math:`Y^{\dagger} = Y`) 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: YGate: inverse gate (self-inverse). )rrr0s rinversez YGate.inverses wwrc,t|tSN) isinstancerrothers r__eq__z YGate.__eq__s%'''rr:)rNNFF)__name__ __module__ __qualname____doc__r r_standard_gaterstrrr_singleton_lookup_keyr-intrboolr4r8r> __classcell__rs@rrrs2++Z"'NP4PPPhsmPPPPPP1022    !#04 }U38_-   B      (((((((rrrr.c eZdZdZejZ ddddddeedee ee fffdZ e d Z d Zdd efd ZdZxZS)r3uControlled-Y gate. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.cy` method. **Circuit symbol:** .. code-block:: text q_0: ──■── ┌─┴─┐ q_1: ┤ Y ├ └───┘ **Matrix representation:** .. math:: CY\ q_0, q_1 = I \otimes |0 \rangle\langle 0| + Y \otimes |1 \rangle\langle 1| = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & -i \\ 0 & 0 & 1 & 0 \\ 0 & i & 0 & 0 \end{pmatrix} .. note:: In Qiskit's convention, higher qubit indices are more significant (little endian convention). In many textbooks, controlled gates are presented with the assumption of more significant qubits as control, which in our case would be q_1. Thus a textbook matrix for this gate will be: .. code-block:: text ┌───┐ q_0: ┤ Y ├ └─┬─┘ q_1: ──■── .. math:: CY\ q_1, q_0 = |0 \rangle\langle 0| \otimes I + |1 \rangle\langle 1| \otimes Y = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & -i \\ 0 & 0 & i & 0 \end{pmatrix} Nr)rrr2rr/c xtddgd||t||| dS)zCreate new CY gate.cyr#r)r)r.rr/ base_gaterrN)rrr)rrr/rrr2rs rrzCYGate.__init__sV   !+...  rrrKcDddlm}ddlm}m}ddlm}tdd}|||j}||dggf||d|dggf||dggfg}|D]\}} } | || | ||_ d S) z5 gate cy a,b { sdg b; cx a,b; s b; } rrr)SGateSdgGate)CXGater#r r!N) r$rsrQrRxrSr r"r&r') rrrQrRrSr r(r)r*r+r,s rr-zCYGate._defines A@@@@@%%%%%%%% As # # ^ADI . . .'))adVR(6688adAaD\2*FSTUVSWRXZ\H]^#( , , E5% JJueU + + + +rFr0c,t|jS)aReturn inverted CY 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: CYGate: inverse gate (self-inverse). )r/)r3r/r7s rr8zCYGate.inverses1111rcLt|to|j|jkSr:)r;r3r/r<s rr>z CYGate.__eq__s!%((PT_@P-PPr)NNr?)r@rArBrCr r3rDrrErrGrrrFr-rHr8r>rIrJs@rr3r3s66p"(N $04     } U38_-      ,10CCC" 2 2 2 2 2 2QQQQQQQrr3N)rCmathrtypingrrqiskit.circuit.singletonrrrqiskit.circuit.quantumregisterr qiskit.circuit._utilsr r qiskit._accelerate.circuitr _Y_ARRAYrr3rrr`sV""""""""baaaaaaaaa::::::MMMMMMMM333333 Hr1g s(s(s(s(s(Ms(s(s(lHa888sQsQsQsQsQ $sQsQ98sQsQsQr