z iFSrSSKrSSKJr SSKrSSKJrJr SSKJ r SSK J r SSK J r \ "SS/SS \R"S 5- //5"S S \55r\ "SS/SS \R"S 5- //5"SS\55rg)zT and Tdg gate.N)Optional) SingletonGatestdlib_singleton_key) PhaseGate)with_gate_array) StandardGatey??c^\rSrSrSr\R rS S\\ 4U4Sjjjr \ "5r Sr S S\4SjjrS S\S\4S jjrS rS rU=r$)TGateu|Single qubit T gate (Z**0.25). It induces a :math:`\pi/4` phase, and is sometimes called the pi/8 gate (because of how the RZ(\pi/4) matrix looks like). This is a non-Clifford gate and a fourth-root of Pauli-Z. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.t` method. Matrix representation: .. math:: T = \begin{pmatrix} 1 & 0 \\ 0 & e^{i\pi/4} \end{pmatrix} Circuit symbol: .. code-block:: text ┌───┐ q_0: ┤ T ├ └───┘ Equivalent to a :math:`\pi/4` radian rotation about the Z axis. labelc&>[TU]SS/US9 g)z2 Args: label: An optional label for the gate. tr rNsuper__init__selfr __class__s a/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/library/standard_gates/t.pyrTGate.__init__;s a51cSSKJn UR[RR UR 5SURS9UlgzDefault definitionr)QuantumCircuitT) legacy_qubitsnameN) qiskit.circuitr_from_circuit_datarT_get_definitionparamsr definitionrrs r_define TGate._defineDsA 2 );; NN * *4;; 7tRVR[R[< r annotatedc[5$)aReturn inverse T gate (i.e. Tdg). 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 the inverse of this gate is always a :class:`.TdgGate`. Returns: TdgGate: inverse of :class:`.TGate` )TdgGaterr)s rinverse TGate.inverseQs yrexponentc@[S[R-U-5$)Ng?rnumpypirr/r)s rpower TGate.power_s8344rc"[U[5$N) isinstancer rothers r__eq__ TGate.__eq__bs%''rr%r8F)__name__ __module__ __qualname____firstlineno____doc__rr"_standard_gaterstrrr_singleton_lookup_keyr'boolr-floatr5r<__static_attributes__ __classcell__rs@rr r sa<"^^N2hsm2212    5e55((rr y?c^\rSrSrSr\R rS S\\ 4U4Sjjjr \ "5r Sr S S\4SjjrS S\S\4S jjrS rS rU=r$)r+fuBSingle qubit T-adjoint gate (~Z**0.25). It induces a :math:`-\pi/4` phase. This is a non-Clifford gate and a fourth-root of Pauli-Z. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.tdg` method. Matrix representation: .. math:: Tdg = \begin{pmatrix} 1 & 0 \\ 0 & e^{-i\pi/4} \end{pmatrix} Circuit symbol: .. code-block:: text ┌─────┐ q_0: ┤ Tdg ├ └─────┘ Equivalent to a :math:`-\pi/4` radian rotation about the Z axis. rc&>[TU]SS/US9 g)zCreate new Tdg gate.tdgr rNrrs rrTdgGate.__init__s 2U3rcSSKJn UR[RR UR 5SURS9Ulgr) r rr!rTdgr#r$rr%r&s rr'TdgGate._definesC 2 );;    , ,T[[ 9TXT]T]< rr)c[5$)aReturn inverse Tdg gate (i.e. T). Args: annotated: when set to ``True``, this is typically used to return an :class:`.AnnotatedOperation` with an inverse modifier set instead of a concrete :class:`.Gate`. However, for this class this argument is ignored as the inverse of this gate is always a :class:`.TGate`. Returns: TGate: inverse of :class:`.TdgGate` )r r,s rr-TdgGate.inverses wrr/c@[S[R-U-5$)Ngпr1r4s rr5 TdgGate.powers)H455rc"[U[5$r8)r9r+r:s rr<TdgGate.__eq__s%))rr>r8r?)r@rArBrCrDrrSrErrFrrrGr'rHr-rIr5r<rJrKrLs@rr+r+fsc:"%%N4hsm4412    6e66**rr+)rDmathtypingrr2qiskit.circuit.singletonrr'qiskit.circuit.library.standard_gates.prqiskit.circuit._utilsrqiskit._accelerate.circuitrsqrtr r+rrrcs  H=131a&1v15678I(MI(9I(X1a&1v15678E*mE*9E*r