z i@,SrSSKJr SSKrSSKJr SSKrSSKJr SSK r SSK J r SSK JrJrJr SSKJr S S KJr S S KJrJr S S KJrJrJrJrJr S rSrSr g)ak Tools for building optimal circuits out of XX interactions. Inputs: + A set of native XX operations, described as strengths. + A right-angled path, computed using the methods in `paths.py`. Output: + A circuit which implements the target operation (expressed exactly as the exponential of `a XX + b YY + c ZZ`) using the native operations and local gates. ) annotationsN)reduce) itemgetter)QuantumCircuit)RXXGateRYYGateRZGate) QiskitError)decomposition_hop)EPSILON safe_arccos)apply_reflection apply_shiftcanonical_rotation_circuitreflection_options shift_optionsc t[R"X#-5[R"X#- 5pe[R"X#-5[R"X#- 5p[R"U5[R"U5pS[ US-U S--US-U S---[R"X- 5S-- SU-U -U-U -5-n S[ US-U S--US-U S---[R"X-5S-- SU-U -U-U -5-n X-S- X- S- p[ [R [SU-5R5[SU-5R5-[R"[SU -5R5[SU-5R55[SU-5R5/5n[R"/SQ/SQ/SQ/SQ/5n[R"US5[R"US5[R"US 5[RS- -[R"US 5[RS- -/n[R "UU5unnnn[ [R [R"[SU-5R5[SU-5R55U[R"[SU-5R5[SU-5R55/5n[![R"US 5[RS- - 5S :aX:d?[![R"US 5[RS- -5S :a]X:aXU[RS - - nU[RS - - nU[RS - -nU[RS - -nUUXUU4$)a) Consumes a target canonical interaction CAN(a_target, b_target) and source interactions CAN(a1, b1), CAN(a2), then manufactures a circuit identity of the form CAN(a_target, b_target) = (Zr, Zs) CAN(a_source, b_source) (Zu, Zv) CAN(interaction) (Zx, Zy). Returns the 6-tuple (r, s, u, v, x, y). g?)?rrr)rпrr)rrrr)rrrrrrr r r r)r)rrg{Gz?)mathcossinnprrdotr to_matrixrkronr arraycmathphasepiabs)a_targetb_targeta_sourceb_source interactioncpluscminussplussminuscasauplusvuminusvuv middle_matrix phase_solver inner_phasesrsxygenerated_matrixs j/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/synthesis/two_qubit/xx_decompose/circuits.pydecompose_xxyy_into_xxyy_xxrA1sHHX01488H# UHoT:wdM Uv M g7fN).0r= source_shareds r@ "xx_circuit_step..*Vi CU11i  )rr rc36># UHoT:wdM Uv M g7frErF)rGr= target_shareds r@rIrJrKrLc3N# UHn[R"U5v M g7frE)risnan)rGvals r@rIrJsA.@s4::c??.@s#%zSError during RZX decomposition: Could not find a suitable Weyl reflection to match z to z along .rTinplacerr )prefix_circuit affix_circuit)rrrrr(r modr'r rAfloatanyrr rcomposeinverserz global_phaser%r&)sourcestrengthtarget embodimentpermute_source_for_overlappermute_target_for_overlapsource_reflection_namereflected_source_coordsource_reflectionreflection_phase_shiftsource_shift_nameshifted_source_coord source_shiftshift_phase_shiftij source_first source_second target_first target_secondr;r<r6r7r=r>rUrVrHrNs @@r@xx_circuit_steprrs>H:#5"4L\ "M I3I"/ DO!E A 0A ,6 (M=`s#7#:VY#FGOPSZZ266#&:&= &I"JBEERUWUZUZZ[450M=a$+Wi*V 'L-*Vi*V 'L- ;f\*+f]+,*<89*=9:h   Aq!Q1Aq!Q1a.@AAA*DLR_)` &)CLR_)` & M"/P & 1 [#5^") ##)($vhghZq J  %31$5~a7HMN5==?Na!eaS!a!eaS!:t4a!eaS!a!eaS!5tD,d;5;;/E#FF5;;/@#AA+335tD,54<<>MQUQC QUQC 4dC,} MMrBc j[U5S:Xa [S5$[S5[S5pC[U5S:ak[X5nUSn[SS5"[ XVS- XU55upxUR USS9 UR USSS 9 XQS Sp[U5S:aMkUn US[ RS - ::aU R X!SSS9 O[S /S Q5upn [S/S Q5upnU R U SS9 U R X!SSS9 U R U R5SS9 U R U SS9 U =R[R"U5-sl U =R[R"U 5-sl U R USS9 U $)a# Assembles a Qiskit circuit from a specified `strength_sequence` of XX-type interactions which emulates the canonical gate at canonical coordinate `target`. The circuits supplied by `basis_embodiments` are used to instantiate the individual XX actions. NOTE: The elements of `strength_sequence` are expected to be normalized so that np.pi/2 corresponds to RZX(np.pi/2) = CX; `target` is taken to be a positive canonical coordinate; and `basis_embodiments` maps `strength_sequence` elements to circuits which instantiate these gates. rrr rUrVTrS)rTfrontNrzreflect XX, YY)rrrzX shift)lenrr rrrrZr r'rrr[r]r%r&)r`strength_sequencebasis_embodimentsrUrVr^r_preceding_prefix_circuitpreceding_affix_circuitcircuit_rfrgrjrks r@canonical_xx_circuitr}s "a  %31$5~a7HM  1 $"6=$R(?N7GHXZc7d44-8I-N**)48)A*>?N)113TB d3 ,= >> ,B CC OOM4O0 NrB)!__doc__ __future__rr% functoolsrroperatorrnumpyr qiskit.circuit.quantumcircuitr%qiskit.circuit.library.standard_gatesrrr qiskit.exceptionsr pathsr utilitiesr rweylrrrrrrArrr}rFrBr@rsN #  8JJ)$+`FeNP0rB