g-JdZddlZddlmZddlmZddlZddlmZmZddl m Z ddl m Z ddl mZdd lmZed dgdd ejd z ggGd deZed dgddejd z ggGddeZdS)zT and Tdg gate.N)pi)Optional) SingletonGatestdlib_singleton_key) PhaseGate)QuantumRegister)with_gate_array) StandardGatey??ceZdZdZejZdddddeeffdZ e Z dZ dd e fd Zdd ed e fd Zd ZxZS)TGateuSingle 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. NdtdurationunitlabelcVtddg|||dS)zCreate new T gate.tr rrrNsuper__init__selfrrr __class__s ]/granary/edev/quantum/lib/python3.11/site-packages/qiskit/circuit/library/standard_gates/t.pyrzTGate.__init__=s. a58$OOOOOcddlm}ddlm}t dd}|||j}|t dz |dggfg}|D]\}}}||||||_dS) z* gate t a { u1(pi/4) a; } rQuantumCircuitr U1GateqnameN qiskit.circuit.quantumcircuitr!u1r#rr&r_append definition rr!r#r$qcrulesinstrqargscargss r_definez TGate._defineCs A@@@@@ As # # ^ADI . . .&a..1Q4&"-.#( , , E5% JJueU + + + +rF annotatedctS)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` )TdgGaterr4s rinversez TGate.inverseTsyyrexponentc@tdtjz|zS)Ng?rnumpyrrr9r4s rpowerz TGate.powerbs83444rc,t|tSN) isinstancerrothers r__eq__z TGate.__eq__es%'''rr@F)__name__ __module__ __qualname____doc__r r_standard_gaterstrrr_singleton_lookup_keyr3boolr8floatr>rD __classcell__rs@rrrs<"'NP4PPPhsmPPPPPP1022"      55e55555(((((((rry?ceZdZdZejZdddddeeffdZ e Z dZ dd e fd Zdd ed e fd Zd ZxZS)r6uSingle 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. NrrrcVtddg|||dS)zCreate new Tdg gate.tdgr rNrrs rrzTdgGate.__init__s. 2UXDQQQQQrcddlm}ddlm}t dd}|||j}|t dz |dggfg}|D]\}}}||||||_dS) z, gate tdg a { u1(pi/4) a; } rr r r"r$r%r'Nr(r-s rr3zTdgGate._defines A@@@@@ As # # ^ADI . . .&"q//AaD62./#( , , E5% JJueU + + + +rFr4ctS)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` )rr7s rr8zTdgGate.inverses wwrr9c@tdtjz|zS)Ngпr;r=s rr>z TdgGate.powers)H4555rc,t|tSr@)rAr6rBs rrDzTdgGate.__eq__s%)))rr@rE)rFrGrHrIr r6rJrrKrrrLr3rMr8rNr>rDrOrPs@rr6r6is:")NR4RRRhsmRRRRRR1022"      66e66666*******rr6)rImathrtypingrr<qiskit.circuit.singletonrr'qiskit.circuit.library.standard_gates.prqiskit.circuit.quantumregisterrqiskit.circuit._utilsr qiskit._accelerate.circuitr sqrtrr6rrras|  HHHHHHHH======::::::1111113333331a&1v156788J(J(J(J(J(MJ(J(98J(Z1a&1v156788I*I*I*I*I*mI*I*98I*I*I*r