z ix'SrSSKJrJr SSKrSSKJrJr SSKJ r J r J r SSK J r SSKJr SS/SS //r\"\5"S S \ 55r\"\SS 9"S S\ 55r\"\SSS9"SS\ 55rg)zZ, CZ and CCZ gates.)OptionalUnionN)with_gate_arraywith_controlled_gate_array) SingletonGateSingletonControlledGatestdlib_singleton_key) StandardGate) PhaseGatec ^\rSrSrSr\R rSS\\ 4U4Sjjjr \ "5r Sr SS\S\\ S\\\ \4S\4U4S jjjrSS\4S jjrSS \S\4S jjrS rSrU=r$)ZGateu`The single-qubit Pauli-Z gate (:math:`\sigma_z`). Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.z` method. Matrix representation: .. math:: Z = \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} Circuit symbol: .. code-block:: text ┌───┐ q_0: ┤ Z ├ └───┘ Equivalent to a :math:`\pi` radian rotation about the Z axis. .. note:: A global phase difference exists between the definitions of :math:`RZ(\pi)` and :math:`Z`. .. math:: RZ(\pi) = \begin{pmatrix} -i & 0 \\ 0 & i \end{pmatrix} = -i Z The gate is equivalent to a phase flip. .. math:: |0\rangle \rightarrow |0\rangle \\ |1\rangle \rightarrow -|1\rangle labelc&>[TU]SS/US9 g)z2 Args: label: An optional label for the gate. zr rN)super__init__)selfr __class__s a/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/library/standard_gates/z.pyrZGate.__init__Ms a51cSSKJn UR[RR UR 5SURS9UlgzDefault definitionr)QuantumCircuitT) legacy_qubitsnameN) qiskit.circuitr_from_circuit_datar Z_get_definitionparamsr definitionrrs r_define ZGate._defineVsA 2 );; NN * *4;; 7tRVR[R[< rnum_ctrl_qubits ctrl_state annotatedcn>U(dUS:Xa[X#URS9nU$[TU] UUUUS9nU$)aReturn a (multi-)controlled-Z gate. One control returns a CZ gate. Args: num_ctrl_qubits: number of control qubits. label: An optional label for the gate [Default: ``None``] ctrl_state: control state expressed as integer, string (e.g.``'110'``), or ``None``. If ``None``, use all 1s. annotated: indicates whether the controlled gate should be implemented as an annotated gate. Returns: ControlledGate: controlled version of this gate. r )rr+ _base_label)r*rr+r,)CZGaterrcontrol)rr*rr+r,gaters rr0 ZGate.controlcsN,_1$**UD 7? /%# #D  rc[5$)ajReturn inverted Z gate (itself). Args: annotated: when set to ``True``, this is typically used to return an :class:`.AnnotatedOperation` with an inverse modifier set instead of a concrete :class:`.Gate`. However, for this class this argument is ignored as this gate is self-inverse. Returns: ZGate: inverse gate (self-inverse). )rrr,s rinverse ZGate.inverses wrexponentc:[[RU-5$N)r numpypi)rr7r,s rpower ZGate.powersH,--rc"[U[5$r9) isinstancerrothers r__eq__ ZGate.__eq__s%''rr&r9)r NNFF)__name__ __module__ __qualname____firstlineno____doc__r r#_standard_gaterstrrr _singleton_lookup_keyr(intrboolr0r5floatr<rB__static_attributes__ __classcell__rs@rrrs+Z"^^N2hsm2212   !#04 }U38_-   B  .e..((rrr*c ^\rSrSrSr\R rSSS.S\\ S\\ \ \ 44U4Sjjjjr \ "SS 9rS rSS \4S jjrS rSrU=r$)r/uControlled-Z gate. This is a Clifford and symmetric gate. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.cz` method. Circuit symbol: .. code-block:: text q_0: ─■─ │ q_1: ─■─ Matrix representation: .. math:: CZ\ q_0, q_1 = I \otimes |0\rangle\langle 0| + Z \otimes |1\rangle\langle 1| = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & -1 \end{pmatrix} In the computational basis, this gate flips the phase of the target qubit if the control qubit is in the :math:`|1\rangle` state. Nr.rr+c :>[TU]SS/USU[US9S9 g)zCreate new CZ gate.czr rrr*r+ base_gateNrrrrrr+r.rs rrCZGate.__init__s1   !+.  rr rTcSSKJn UR[RR UR 5SURS9Ulgr) r!rr"r CZr$r%r r&r's rr(CZGate._definesA 2);; OO + +DKK 8SWS\S\< rr,c([URS9$)alReturn inverted CZ 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: CZGate: inverse gate (self-inverse). r+)r/r+r4s rr5CZGate.inverses11rcb[U[5=(a URUR:H$r9)r?r/r+r@s rrB CZGate.__eq__s#%(PT__@P@P-PPrrDNNrE)rFrGrHrIrJr rarKrrLrrNrr rMr(rOr5rBrQrRrSs@rr/r/s}@"__N $04   } U38_-  $1C   2 2QQrr/rZ))r* cached_statesc ^\rSrSrSr\R rSSS.S\\ S\\ \ \ 44U4Sjjjjr \ "SS 9rS rSS \4S jjrS rSrU=r$)CCZGateuCCZ gate. This is a symmetric gate. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.ccz` method. Circuit symbol: .. code-block:: text q_0: ─■─ │ q_1: ─■─ │ q_2: ─■─ Matrix representation: .. math:: CCZ\ q_0, q_1, q_2 = I \otimes I \otimes |0\rangle\langle 0| + CZ \otimes |1\rangle\langle 1| = \begin{pmatrix} 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & -1 \end{pmatrix} In the computational basis, this gate flips the phase of the target qubit if the control qubits are in the :math:`|11\rangle` state. NrWrr+c :>[TU]SS/USU[US9S9 g)zCreate new CCZ gate.cczrirZrr[Nr]r^s rrCCZGate.__init__s1   !+.  rrZrTcSSKJn UR[RR UR 5SURS9Ulgr) r!rr"r CCZr$r%r r&r's rr(CCZGate._define/sC 2);;    , ,T[[ 9TXT]T]< rr,c([URS9$)anReturn inverted CCZ 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: CCZGate: inverse gate (self-inverse). rd)rlr+r4s rr5CCZGate.inverse?s$//22rcb[U[5=(a URUR:H$r9)r?rlr+r@s rrBCCZGate.__eq__Ms#%)QdooAQAQ.QQrrDrhrE)rFrGrHrIrJr rrrKrrLrrNrr rMr(rOr5rBrQrRrSs@rrlrls$L"%%N $04   } U38_-  $1C 3 3RRrrl)rJtypingrrr:qiskit.circuit._utilsrrqiskit.circuit.singletonrrr qiskit._accelerate.circuitr pr _Z_ARRAYrr/rlrrrs" Maa3 FQG y(My(y(xHa8TQ $TQ9TQnHatL\R%\RM\Rr