z iSrSSKJr SSKJrJr SSKrSSKJ s J s J r SSK Jr 0S\ R_S\ R_S\ R _S \ R"_S \ R$_S \ R&_S \ R(_S \ R*_S\ R,_S\ R._S\ R0_S\ R2_S\ R4_S\ R6_S\ R8_S\ R:_S\ R<_\ R<\ R>\ R@\ RB\ RDS.Er#SS Sjjr$\ RJ"5RM5\ RJ"5RM5\ RN"5RM5\ RP"5RM5\ RR"5RM5\ RT"5RM5\ RV"5RM5\ RX"5RM5\ RZ"5RM5\ R\"5RM5\ R^"5RM5\ R`"5RM5S. r1\ Rd\ Rf\ Rh\ Rj\ Rl\ Rn\ Rp\ Rr\ Rt\ Rv\ Rx\ Rz\ R|S. r?\ R"5RM5\ R"5RM5\ R"5RM5\ R"5RM5S.rDS!SjrES!SjrFS"SjrGg)#z;Contains functions used by the basic provider simulators. ) annotations)ascii_uppercaseascii_lowercaseN) QiskitErrorUuu1u2u3hpssdgsxsxdgttdgxyzid)irrxryrzcvUc/nU[;a [UnO[SU35eU"U6R5$)a(Get the matrix for a single qubit. Args: gate: the single qubit gate name params: the operation parameters op['params'] Returns: array: A numpy array representing the matrix Raises: QiskitError: If a gate outside the supported set is passed in for the ``Gate`` argument. z3Gate is not a valid basis gate for this simulator: )SINGLE_QUBIT_GATESr to_matrix)gateparamsgcs n/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/providers/basic_provider/basic_provider_tools.pysingle_gate_matrixr$4sH~ !!  %OPTvVWW v; "") CXcxecrcyczswapiswapchcscsdgcsxdcx) cpcrxcrycrzcucu1cu3rxxryyrzzrzx xx_minus_yy xx_plus_yy)ccxcczrccxcswapcP[X5up#pE[SUnUUSUUSUU3$)aOReturn the index string for Numpy.einsum matrix-matrix multiplication. The returned indices are to perform a matrix multiplication A.B where the matrix A is an M-qubit matrix, matrix B is an N-qubit matrix, and M <= N, and identity matrices are implied on the subsystems where A has no support on B. Args: gate_indices (list[int]): the indices of the right matrix subsystems to contract with the left matrix. number_of_qubits (int): the total number of qubits for the right matrix. Returns: str: An indices string for the Numpy.einsum function. N, ->)_einsum_matmul_index_helperr) gate_indicesnumber_of_qubitsmat_lmat_rtens_lin tens_louttens_rs r#einsum_matmul_indexrNusI")DL(c%E(.. /FWUG2hZxr)VH EEr%c6[X5up#pEUUSUSU3$)aNReturn the index string for Numpy.einsum matrix-vector multiplication. The returned indices are to perform a matrix multiplication A.v where the matrix A is an M-qubit matrix, vector v is an N-qubit vector, and M <= N, and identity matrices are implied on the subsystems where A has no support on v. Args: gate_indices (list[int]): the indices of the right matrix subsystems to contract with the left matrix. number_of_qubits (int): the total number of qubits for the right matrix. Returns: str: An indices string for the Numpy.einsum function. rDrE)rF)rGrHrIrJrKrLs r#einsum_vecmul_indexrPs1")DL(c%E(WUG2hZr) 55r%c&[U5U-S:a [S5e[SUn[U5nSnSn[ [ U55H0upgU[SU- - nXRSU- - n[SU- USU- 'M2 SR U5nXEX#4$)a Return the index string for Numpy.einsum matrix multiplication. The returned indices are to perform a matrix multiplication A.v where the matrix A is an M-qubit matrix, matrix v is an N-qubit vector, and M <= N, and identity matrices are implied on the subsystems where A has no support on v. Args: gate_indices (list[int]): the indices of the right matrix subsystems to contract with the left matrix. number_of_qubits (int): the total number of qubits for the right matrix. Returns: tuple: (mat_left, mat_right, tens_in, tens_out) of index strings for that may be combined into a Numpy.einsum function string. Raises: QiskitError: if the total number of qubits plus the number of contracted indices is greater than 26. z*Total number of free indexes limited to 26N)lenrrlist enumeratereversedjoin)rGrHtens_intens_outmat_left mat_rightposidxs r#rFrFs8 <++b0FGG//0GG}HHIh|45OBH--R#X&& ,R#X6c6wwx H  11r%)N)r strr!zlist[float] | Nonereturnz np.ndarray)rG list[int]rHintrar`)rGrbrHrcraztuple[str, str, str, str])H__doc__ __future__rstringrrnumpynp%qiskit.circuit.library.standard_gatescircuitlibrarystandard_gatesgatesqiskit.exceptionsrUGateU1GateU2GateU3GateHGate PhaseGateSGateSdgGateSXGateSXdgGateTGateTdgGateXGateYGateZGateIGateRGateRXGateRYGateRZGaterr$CXGaterECRGateCYGateCZGateSwapGate iSwapGateCHGateCSGateCSdgGateCSXGateDCXGateTWO_QUBIT_GATES CPhaseGateCRXGateCRYGateCRZGateCUGateCU1GateCU3GateRXXGateRYYGateRZZGateRZXGate XXMinusYYGate XXPlusYYGateTWO_QUBIT_GATES_WITH_PARAMETERSCCXGateCCZGateRCCXGate CSwapGateTHREE_QUBIT_GATESrNrPrFr%r#rs,#355) %,, %,,   %,,    5== %,, ENN 5== !" %++#$   ,, ,, ,,-4#0 ,,. " " $ ,,. " " $ ==? $ $ & ,,. " " $ ,,. " " $ NN  & & ( __  ( ( * ,,. " " $ ,,. " " $ NN  & & ( ==? $ $ & ==? $ $ & "    == == == ,, == == == == == ==&&$$#& ==? $ $ & ==? $ $ & NN  & & ( __  ( ( * F6602222/22222r%