z iT"FSrSSKrSSKJr SSKJr SSKJr S\S\4Sjr g) z/ Circuit synthesis for the CNOTDihedral class. N)QuantumCircuit) QiskitError) CNOTDihedralelemreturnc[UR5nURS:a [S5eURS:XaURRS:wdUR S//:wa [S5eURR SnURSnUS:a'URU[R-S- S/5 US:XaURS5 US:XaUS:XaURS5 U$URRS:wa [S5eURR nURRnUR nURnUSS/SS//:HR5(GaWUup8US/:XaUup)US:a'URU[R-S- S/5 US:XaURS5 U S:a'URU [R-S- S/5 US:XaURS5 US:Xa4U S:Xa.US:Xa(US:Xa"URS5 URS5 US/:XaX8:XdUS/:XGaOX8:wGaIUSSU-- SU-U-- S -nUSSU-- SU-U-- S -n US:a'URU[R-S- S/5 US:XaURS5 U S:a'URU [R-S- S/5 US:XaURS5 UR[RS- S/5 UR[RS- S/5 URSS5 URS [R-S- S/5 URSS5 US/:XaX8:XdUS/:XGaRX8:wGaLUSSU-- SU-U-- S -nUSSU-- SU-U-- S -n US:a'URU[R-S- S/5 US:XaURS5 U S:a'URU [R-S- S/5 US:XaURS5 URS [R-S- S/5 URS [R-S- S/5 URSS5 UR[RS- S/5 URSS5 US/:XaUSSU-- S -nUSSU-- S -n US:a'URU[R-S- S/5 US:XaURS5 U S:a'URU [R-S- S/5 US:XaURS5 UR!SS5 USS/SS//:HR5(Ga"USnUSU-S-nX8:Xa%S US- S- S-n USU - S -nUSU - S -n O!USS- S-n USU -S -nUSU -S -n US:a'URU[R-S- S/5 US:XaURS5 U S:a'URU [R-S- S/5 US:XaURS5 URSS5 U S:a'URU [R-S- S/5 USS/SS//:HR5(Ga"USnUSU-S-nX8:Xa%S US- S- S-n USU - S -nUSU - S -n O!USS- S-n USU -S -nUSU -S -n US:a'URU[R-S- S/5 US:XaURS5 U S:a'URU [R-S- S/5 US:XaURS5 URSS5 U S:a'URU [R-S- S/5 USS/SS//:HR5(Ga4USnUSU-S-nX8:Xa%S US- S- S-n USU - S -nUSU - S -n O!USS- S-n USU -S -nUSU -S -n US:a'URU[R-S- S/5 US:XaURS5 U S:a'URU [R-S- S/5 US:XaURS5 URSS5 URSS5 U S:a'URU [R-S- S/5 USS/SS//:HR5(Ga4USnUSU-S-nX8:Xa%S US- S- S-n USU - S -nUSU - S -n O!USS- S-n USU -S -nUSU -S -n US:a'URU[R-S- S/5 US:XaURS5 U S:a'URU [R-S- S/5 US:XaURS5 URSS5 URSS5 U S:a'URU [R-S- S/5 USS/SS//:HR5(Ga@USnUSnX8:Xa%S US- S- S-n USU - S -nUSU - S -n O!USS- S-n USU -S -nUSU -S -n US:a'URU[R-S- S/5 US:XaURS5 U S:a'URU [R-S- S/5 US:XaURS5 URSS5 URSS5 U S:a'URU [R-S- S/5 URSS5 U$) a9Decompose a :class:`.CNOTDihedral` element on a single qubit and two qubits into a :class:`.QuantumCircuit`. This decomposition has an optimal number of :class:`.CXGate`\ s. Args: elem: A :class:`.CNOTDihedral` element. Returns: A circuit implementation of the :class:`.CNOTDihedral` element. Raises: QiskitError: if the element in not 1-qubit or 2-qubit :class:`.CNOTDihedral`. References: 1. Shelly Garion and Andrew W. Cross, *On the structure of the CNOT-Dihedral group*, `arXiv:2006.12042 [quant-ph] `_ zoCannot decompose a CNOT-Dihedral element with more than 2 qubits. use synth_cnotdihedral_full function instead.rz&1-qubit element in not CNOT-Dihedral .z&2-qubit element in not CNOT-Dihedral .)r num_qubitsrpolyweight_0linearweight_1shiftpnppixidweight_2allcxcz) rcircuittpow0xpow0rrrrxpow1tpow1ms y/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/synthesis/cnotdihedral/cnotdihedral_decompose_two_qubits.pysynth_cnotdihedral_two_qubitsr%s &T__-G  <   ! 99   "dkkqcU&:FG G ""1% 1  19 IIuruu}q(A3 / A: IIaL A:%1* JJqM yyQBCCyy!!Hyy!!H [[F JJE Aq6Aq6""'')) s?%NUqy 5255=1,s3z ! qy 5255=1,s3z ! zeqjUaZEQJ 1  1  OHOa[1u9,q5y5/@@AEEa[1u9,q5y5/@@AEEqy 5255=1,s3z ! qy 5255=1,s3z ! IIruuqyA3 ' IIruuqyA3 ' JJq!  IIq255y1}s + JJq!  OHOa[1u9,q5y5/@@AEEa[1u9,q5y5/@@AEEqy 5255=1,s3z ! qy 5255=1,s3z ! IIq255y1}s + IIq255y1}s + JJq!  IIruuqyA3 ' JJq!  s?a[1u9,1Ea[1u9,1Eqy 5255=1,s3z ! qy 5255=1,s3z ! JJq!  Aq6Aq6""''))aqE!Q& >hqk/Q&!+Aa[1_)Ea[1_)E!qA%Aa[1_)Ea[1_)E 19 IIuruu}q(A3 / A: IIaL 19 IIuruu}q(A3 / A: IIaL 1a q5 IIq255y1}s + Aq6Aq6""''))aqE!Q& >hqk/Q&!+Aa[1_)Ea[1_)E!qA%Aa[1_)Ea[1_)E 19 IIuruu}q(A3 / A: IIaL 19 IIuruu}q(A3 / A: IIaL 1a q5 IIq255y1}s + Aq6Aq6""''))aqE!Q& >hqk/Q&!+Aa[1_)Ea[1_)E!qA%Aa[1_)Ea[1_)E 19 IIuruu}q(A3 / A: IIaL 19 IIuruu}q(A3 / A: IIaL 1a 1a q5 IIq255y1}s + Aq6Aq6""''))aqE!Q& >hqk/Q&!+Aa[1_)Ea[1_)E!qA%Aa[1_)Ea[1_)E 19 IIuruu}q(A3 / A: IIaL 19 IIuruu}q(A3 / A: IIaL 1a 1a q5 IIq255y1}s + Aq6Aq6""''))aa >hqk/Q&!+Aa[1_)Ea[1_)E!qA%Aa[1_)Ea[1_)E 19 IIuruu}q(A3 / A: IIaL 19 IIuruu}q(A3 / A: IIaL 1a 1a q5 IIq255y1}s + 1a N) __doc__numpyrqiskit.circuitrqiskit.exceptionsrqiskit.quantum_inforr%r&r$r-s.)),t ttr&