z i?SrSSKJrJr SSKJrJrJr SSKJ r J r SSK J r SS/SS//r \ "\ 5"SS \55r\ "\ S S 9"S S \55rg)zY and CY gates.)OptionalUnion) SingletonGateSingletonControlledGatestdlib_singleton_key)with_gate_arraywith_controlled_gate_array) StandardGateyy?c ^\rSrSrSr\R rS S\\ 4U4Sjjjr \ "5r Sr SS\S\\ S\\\ \4S\4U4S jjjrSS\4S jjrS rS rU=r$)YGateujThe single-qubit Pauli-Y gate (:math:`\sigma_y`). Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.y` method. Matrix representation: .. math:: Y = \begin{pmatrix} 0 & -i \\ i & 0 \end{pmatrix} Circuit symbol: .. code-block:: text ┌───┐ q_0: ┤ Y ├ └───┘ Equivalent to a :math:`\pi` radian rotation about the Y axis. .. note:: A global phase difference exists between the definitions of :math:`RY(\pi)` and :math:`Y`. .. math:: RY(\pi) = \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix} = -i Y The gate is equivalent to a bit and phase flip. .. math:: |0\rangle \rightarrow i|1\rangle \\ |1\rangle \rightarrow -i|0\rangle labelc&>[TU]SS/US9 g)z2 Args: label: An optional label for the gate. yrN)super__init__)selfr __class__s a/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/library/standard_gates/y.pyrYGate.__init__Js a51cSSKJn UR[RR UR 5SURS9UlgzDefault definitionr)QuantumCircuitT) legacy_qubitsnameN) qiskit.circuitr_from_circuit_datar Y_get_definitionparamsr definitionrrs r_define YGate._defineSsA 2 );; NN * *4;; 7tRVR[R[< rnum_ctrl_qubits ctrl_state annotatedcn>U(dUS:Xa[X#URS9nU$[TU] UUUUS9nU$)aReturn a (multi-)controlled-Y gate. One control returns a CY gate. Args: num_ctrl_qubits: number of control qubits. label: An optional label for the gate [Default: ``None``] ctrl_state: control state expressed as integer, string (e.g.``'110'``), or ``None``. If ``None``, use all 1s. annotated: indicates whether the controlled gate should be implemented as an annotated gate. Returns: ControlledGate: controlled version of this gate. r)rr) _base_label)r(rr)r*)CYGaterrcontrol)rr(rr)r*gaters rr. YGate.control`sN,_1$**UD 7? /%# #D  rc[5$)azReturn inverted Y gate (:math:`Y^{\dagger} = Y`) Args: annotated: when set to ``True``, this is typically used to return an :class:`.AnnotatedOperation` with an inverse modifier set instead of a concrete :class:`.Gate`. However, for this class this argument is ignored as this gate is self-inverse. Returns: YGate: inverse gate (self-inverse). )r rr*s rinverse YGate.inverses wrc"[U[5$N) isinstancer rothers r__eq__ YGate.__eq__s%''rr$r6)rNNFF)__name__ __module__ __qualname____firstlineno____doc__r r!_standard_gaterstrrr_singleton_lookup_keyr&intrboolr.r3r:__static_attributes__ __classcell__rs@rr r s+Z"^^N2hsm2212   !#04 }U38_-   B  ((rr rr(c ^\rSrSrSr\R rSSS.S\\ S\\ \ \ 44U4Sjjjjr \ "SS 9rS rSS \4S jjrS rSrU=r$)r-u Controlled-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} N)r,rr)c :>[TU]SS/SUU[US9S9 g)zCreate new CY gate.cyrr)r(rr) base_gateN)rrr )rrr)r,rs rrCYGate.__init__s1   !+.  rrrKcSSKJn UR[RR UR 5SURS9Ulgr) rrr r CYr"r#rr$r%s rr&CYGate._definesA 2);; OO + +DKK 8SWS\S\< rr*c([URS9$)alReturn 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))r-r)r2s rr3CYGate.inverses11rcb[U[5=(a URUR:H$r6)r7r-r)r8s rr: CYGate.__eq__s#%(PT__@P@P-PPrr<)NNr=)r>r?r@rArBr rTrCrrDrrFrrrEr&rGr3r:rHrIrJs@rr-r-s}6p"__N $04   } U38_-  $1C   2 2QQrr-N)rBtypingrrqiskit.circuit.singletonrrrqiskit.circuit._utilsrr qiskit._accelerate.circuitr _Y_ARRAYr r-rrr`s{"baM3 Hr1g v(Mv(v(rHa8lQ $lQ9lQr