z i SrSSKrSSKJrJrJr S\RS\S\S\R4Sjr S\S\S \S\R4S jr S \ S\R4S jr S \ S\R4S jr S \ S\R4Sjrg)z\ These are a number of elementary functions that are required for the AQC routines to work. N)RXGateRZGateRYGateunitarynjreturnc[R"[R"[R"SU-5U5[R"SUS- U- -55$)a Computes I(j - 1) tensor product U tensor product I(n - j), where U is a unitary matrix of size ``(2, 2)``. Args: unitary: a unitary matrix of size ``(2, 2)``. n: num qubits. j: position where to place a unitary. Returns: a unitary of n qubits with u in position j. npkroneye)rrrs l/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/synthesis/unitary/aqc/elementary_operations.py place_unitaryrsB 77277266!Q$<1266!A :J3K LLkc zX:Ga"[R"[R"SU-5SS/SS//5[R"SUS- U- -55[R"[R"[R"[R"[R"SU-5SS/SS//5[R"SX!- S- -55SS/SS//5[R"SUS- U- -55-nU$[R"[R"[R"SU-5SS/SS//5[R"SUS- U- -55[R"[R"[R"[R"[R"SU-5SS/SS//5[R"SX- S- -55SS/SS//5[R"SUS- U- -55-nU$)z Places a CNOT from j to k. Args: n: number of qubits. j: control qubit. k: target qubit. Returns: a unitary of n qubits with CNOT placed at ``j`` and ``k``. r r rr )rrrrs r place_cnotr%s u'' GGBFF1a4LAq6Aq6"2 3RVVA!a%!)?aeVWiHXAYZQ!Q   FF1Q# $   & N'' GGBFF1a4LAq6Aq6"2 3RVVA!a%!)?aeVWiHXAYZQ!Q   FF1Q# $    Nrphic4[U5R5$)zw Computes an RX rotation by the angle of ``phi``. Args: phi: rotation angle. Returns: an RX rotation matrix. )r to_matrixrs r rx_matrixrH #; ""rc4[U5R5$)zw Computes an RY rotation by the angle of ``phi``. Args: phi: rotation angle. Returns: an RY rotation matrix. )rrrs r ry_matrixrUrrc4[U5R5$)zw Computes an RZ rotation by the angle of ``phi``. Args: phi: rotation angle. Returns: an RZ rotation matrix. )rrrs r rz_matrixr brr)__doc__numpyr%qiskit.circuit.library.standard_gatesrrrndarrayintrrfloatrrr rrr(sHH M2:: M# M# M"** M # # # "** F #5 #RZZ # #5 #RZZ # #5 #RZZ #r