peropq.commutators_bitstrings

Functions

get_commutator_pauli_tensors(left_pauli_string, ...)

Calculate the commutator of any two pauli tensors.

Module Contents

peropq.commutators_bitstrings.get_commutator_pauli_tensors(left_pauli_string, right_pauli_string)

Calculate the commutator of any two pauli tensors.

Parameters:

• left_pauli_string (peropq.pauli_bitstring.PauliString) – left side of commutator

• right_pauli_string (peropq.pauli_bitstring.PauliString) – right side of commutator.

Return type:

peropq.pauli_bitstring.PauliString | Literal[0]

The general formula for A = c(A_1 x … A_n), B = d(B_1 x … x B_N) is [A, B] = 1 - (-1)^k cd(A_1 B_1 x … x A_N B_N) where x is the tensor product, and k is the number of anti-commuting Pauli pairs.

Returns:

None if the strings commute, otherwise the commutator as a PauliString

Parameters:

• left_pauli_string (peropq.pauli_bitstring.PauliString)

• right_pauli_string (peropq.pauli_bitstring.PauliString)

Return type:

peropq.pauli_bitstring.PauliString | Literal[0]