gRdZddlmZddlmZmZddlmZmZddl Z ddl m Z m Z m Z ddlmZddlmZmZdd lmZd ed z e jd d gd d gge j zZeeGdde Zeed Gdde ZdS)zHadamard gate.) annotations)sqrtpi)OptionalUnionN) SingletonGateSingletonControlledGatestdlib_singleton_key)QuantumRegister)with_gate_arraywith_controlled_gate_array) StandardGate)dtypec|eZdZdZejZdddddfdZeZ dZ ddfd Z dddZ dZ xZS)HGateuSingle-qubit Hadamard gate. This gate is a \pi rotation about the X+Z axis, and has the effect of changing computation basis from :math:`|0\rangle,|1\rangle` to :math:`|+\rangle,|-\rangle` and vice-versa. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.h` method. **Circuit symbol:** .. code-block:: text ┌───┐ q_0: ┤ H ├ └───┘ **Matrix Representation:** .. math:: H = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 & 1 \\ 1 & -1 \end{pmatrix} Ndt)durationunitlabel Optional[str]cVtddg|||dS)zCreate new H gate.hr)rrrN)super__init__)selfrrr __class__s ]/granary/edev/quantum/lib/python3.11/site-packages/qiskit/circuit/library/standard_gates/h.pyrzHGate.__init__<s. a58$OOOOOcddlm}ddlm}t dd}|||j}|dt |dggfg}|D]\}}}||||||_dS)z* gate h a { u2(0,pi) a; } rQuantumCircuitr)U2GateqnameN) qiskit.circuit.quantumcircuitr$u2r%r r(r_append definition) rr$r%r&qcrulesinstrqargscargss r _definez HGate._defineBs A@@@@@ As # # ^ADI . . .&B--!A$,-#( , , E5% JJueU + + + +r!rnum_ctrl_qubitsint str | None ctrl_stateint | str | None annotated bool | Nonec|s|dkrt|||j}n%t||||}|S)acReturn a (multi-)controlled-H gate. One control qubit returns a CH 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. If ``None``, this is handled as ``False``. Returns: ControlledGate: controlled version of this gate. r)rr6 _base_label)r3rr6r8)CHGaterrcontrol)rr3rr6r8gaters r r=z HGate.controlRs^, _11*$*UUUDD77?? /%# #D  r!FboolctS)aReturn inverted H gate (itself). Args: annotated: when set to ``True``, this is typically used to return an :class:`.AnnotatedOperation` with an inverse modifier set instead of a concrete :class:`.Gate`. However, for this class this argument is ignored as this gate is self-inverse. Returns: HGate: inverse gate (self-inverse). )rrr8s r inversez HGate.inversess wwr!c,t|tSN) isinstancerrothers r __eq__z HGate.__eq__s%'''r!rD)rr)rNNN)r3r4rr5r6r7r8r9Fr8r?)__name__ __module__ __qualname____doc__rr_standard_gaterr _singleton_lookup_keyr2r=rBrH __classcell__rs@r rrs8"'NP4PPPPPPPP1022$ ! '+!% B     (((((((r!rr3cpeZdZdZejZ ddddddfd Zed Z d Z dddZ dZ xZ S)r<uControlled-Hadamard gate. Applies a Hadamard on the target qubit if the control is in the :math:`|1\rangle` state. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.ch` method. **Circuit symbol:** .. code-block:: text q_0: ──■── ┌─┴─┐ q_1: ┤ H ├ └───┘ **Matrix Representation:** .. math:: CH\ q_0, q_1 = I \otimes |0\rangle\langle 0| + H \otimes |1\rangle\langle 1| = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & \frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\ 0 & 0 & 1 & 0 \\ 0 & \frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}} \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: ┤ H ├ └─┬─┘ q_1: ──■── .. math:: CH\ q_1, q_0 = |0\rangle\langle 0| \otimes I + |1\rangle\langle 1| \otimes H = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\ 0 & 0 & \frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} \end{pmatrix} Nr)rrr;rrr6Optional[Union[int, str]]c ztddgd||t|||| dS)zCreate new CH gate.chrr)r)r3rr6 base_gaterrr;N)rrr)rrr6rrr;rs r rzCHGate.__init__sY   !+...#  r!rrSc ddlm}ddlm}ddlm}m}ddlm}m }tdd}|||j }||dggft|dggf||dggf||d|dggf||dggft|dggf||dggfg} | D]\} } } | | | | ||_d S) z gate ch a,b { s b; h b; t b; cx a, b; tdg b; h b; sdg b; } rr#r)CXGate)TGateTdgGate)SGateSdgGaterr&r'N)r)r$xrZtr[r\sr]r^r r(rr+r,) rr$rZr[r\r]r^r&r-r.r/r0r1s r r2zCHGate._defines] A@@@@@%%%%%%%%%%%%%%%% As # # ^ADI . . . UWWqtfb ! WWqtfb ! UWWqtfb ! VXX!ad|R ( WYY1 # WWqtfb ! WYY1 # $) , , E5% JJueU + + + +r!Fr8r?c,t|jS)z!Return inverted CH gate (itself).)r6)r<r6rAs r rBzCHGate.inverses1111r!cLt|to|j|jkSrD)rEr<r6rFs r rHz CHGate.__eq__s!%((PT_@P-PPr!)NN)rrr6rUrIrJ)rKrLrMrNrr<rOrr rPr2rBrHrQrRs@r r<r<s77r"(N $04          .10CCC   D22222QQQQQQQr!r<)rN __future__rmathrrtypingrrnumpyqiskit.circuit.singletonrr r qiskit.circuit.quantumregisterr qiskit.circuit._utilsr r qiskit._accelerate.circuitrarray complex128_H_ARRAYrr<r!r rps"""""""""""""" aaaaaaaaaa::::::MMMMMMMM333333 ttAww;q!fq"g%6e>NOOO Oe(e(e(e(e(Me(e(e(PHa888|Q|Q|Q|Q|Q $|Q|Q98|Q|Q|Qr!