qiskit.aqua.operators.legacy.commutator

commutator(op_a, op_b, op_c=None, sign=False, threshold=1e-12)

Compute commutator of op_a and op_b or the symmetric double commutator of op_a, op_b and op_c.

See McWeeny chapter 13.6 Equation of motion methods (page 479)

If only op_a and op_b are provided:

result = A*B - B*A;

If op_a, op_b and op_c are provided:

result = 0.5 * (2*A*B*C + 2*C*B*A - B*A*C - C*A*B - A*C*B - B*C*A)

Parameters

• op_a (WeightedPauliOperator) – operator a
• op_b (WeightedPauliOperator) – operator b
• op_c (Optional(WeightedPauliOperator)) – operator c
• sign (bool) – False anti-commutes, True commutes
• threshold (float) – the truncation threshold

Returns

the commutator

Return type

WeightedPauliOperator