z itSrSSKJr SSKrSSKJrJrJr SSK J r SSK J r "SS\5r "S S \5rg) zExact reciprocal rotation.)iscloseN)QuantumCircuitQuantumRegisterGate)UCRYGate)deprecate_funcc `^\rSrSrSr\"SSSS9SS\S\S \S \ S S 4 U4S jjj5r Sr U=r $)ExactReciprocalzxExact reciprocal .. math:: |x\rangle |0\rangle \mapsto \cos(1/x)|x\rangle|0\rangle + \sin(1/x)|x\rangle |1\rangle z2.2zAUse the class qiskit.circuit.library.ExactReciprocalGate instead.z in Qiskit 3.0)sinceadditional_msgremoval_timelinenum_state_qubitsscalingneg_valsnamereturnNc>[US5n[SS5n[TU] XVUS9 [XX4S9nUR XpR 5 g)a Args: num_state_qubits: The number of qubits representing the value to invert. scaling: Scaling factor :math:`s` of the reciprocal function, i.e. to compute :math:`s / x`. neg_vals: Whether :math:`x` might represent negative values. In this case the first qubit is the sign, with :math:`|1\rangle` for negative and :math:`|0\rangle` for positive. For the negative case it is assumed that the remaining string represents :math:`1 - x`. This is because :math:`e^{-2 \pi i x} = e^{2 \pi i (1 - x)}` for :math:`x \in [0,1)`. name: The name of the object. .. note:: It is assumed that the binary string :math:`x` represents a number < 1. stateflag)rlabelN)rsuper__init__ExactReciprocalGateappendqubits) selfrrrrqr_stateqr_flag reciprocal __class__s l/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/library/arithmetic/exact_reciprocal.pyrExactReciprocal.__init__sM0##3W=!!V, 6()9HY  J ,Fz1/x) __name__ __module__ __qualname____firstlineno____doc__rintfloatboolstrr__static_attributes__ __classcell__r#s@r$r r sYZ( Z_- #-.3-?C-SV- -  -r&r c P^\rSrSrSrS S\S\S\S\SS4 U4S jjjr S r S r U=r $) r=aImplements an exact reciprocal function. For a state :math:`|x\rangle` and a scaling factor :math:`s`, this gate implements the operation .. math:: |x\rangle |0\rangle \mapsto \cos\left(\arcsin\left(s\frac{2^n}{x}\right)\right)|x\rangle|0\rangle + \left(s\frac{2^n}{x}\right)|x\rangle|1\rangle. States representing :math:`x = 0` or :math:`s 2^n / x \geq 1` are left unchanged, since this function would not be defined. rrrrrNcD>[TU]SUS-/US9 X lX0lg)a Args: num_state_qubits: The number of qubits representing the value to invert. scaling: Scaling factor :math:`s` of the reciprocal function, i.e. to compute :math:`s / x`. neg_vals: Whether :math:`x` might represent negative values. In this case the first qubit is the sign, with :math:`|1\rangle` for negative and :math:`|0\rangle` for positive. For the negative case it is assumed that the remaining string represents :math:`1 - x`. This is because :math:`e^{-2 \pi i x} = e^{2 \pi i (1 - x)}` for :math:`x \in [0,1)`. label: The label of the object. .. note:: It is assumed that the binary string :math:`x` represents a number < 1. r rrN)rrrr)rrrrrr#s r$rExactReciprocalGate.__init__Ls,& *,)abs_tolr) num_qubitsrrrrangerrrnppiarcsinrlencontrolabs definition) rrr r!circuitanglesnlitheta angles_negs r$_defineExactReciprocalGate._definedsh??Q."#3W=!!V, 3,0MMQ#a' (qBR?Rq"At||b(1,a> bee$"Q&* a"))DLL2,=,A"BBC c"  x''!*A`3x=SWS`S`C`8a)ab === NNf5fU&f56>>@"'!*-" = J1b\4<<2.!af*=r4P%%ruuf-VVDLLB/1qv:>?!C%%a"))DLLB4G1qv:4V*W&WX%%c* " NN$,,."'!*0MPXY\Z\P]0] "6s* J> )rErrr() r)r*r+r,r-r.r/r0r1rrLr2r3r4s@r$rr=sK [`! #!.3!?C!TW! !!0%"%"r&r)r-mathrnumpyr?qiskit.circuitrrr(qiskit.circuit.library.generalized_gatesrqiskit.utils.deprecationrr rr'r&r$rSs7!@@=3%-n%-PL"$L"r&