Define FLAG_PAULI¶
Defined in File gate.hpp
Define Documentation¶

FLAG_PAULI¶
Flgas for gate property: gate is Pauli.
Regulation for argument/qubit/index ordering Read this before treating kronecker product
— arguments — Arguments of create_gate_*** function must be ordered as [control qubit (list), target qubit (list), rotation angle, state, dimension]
E.g. arguments of controlled gate must be ordered as [control qubit, target qubit]. CNOT_gate(0,1) = gate_from_string(“CNOT 0 1”) = control0 X1 gate
When we perform gate>add_control(i, value), the operation is performed on the index where its ith bit is value, i.e. if (index&(1ULL<<i) != 0)
— state — In C/C++, it is useful to order the computational basis so that the RIGHTmost bit is the lowest bit. e.g. state = [ state[0b00], state[0b01], state[0b10], state[0b11] ]
In quantum circuit, we call the TOPline qubit as the FIRST qubit.
In the braket representation, we consider the RIGHTmost bit in ket represents the FIRST (or TOPline) qubit in the quantum circuit. state[0b01] = <01state01> = the probability with which the TOPqubit is one, and the secondtop qubit is zero.
— gate — To be consistent with the above index ordering, the order of tensor product is *** REVERSED ***.
X_0 has matrix representation : X_0 = I \otimes X = np.kron(I,X) = [0,1,0,0] 00> state[00] [1,0,0,0] 01> state[01] [0,0,0,1] 10> state[10] [0,0,1,0] 11> state[11]
CNOT(0,1) = control0 targetNOT1 has matrix representation [1,0,0,0] 00> [0,0,0,1] 01> [0,0,1,0] 10> [0,1,0,0] 11>
X_0 Y_1 Z_2 = np.kron(Z_2, np.kron(Y1, X0))