anti_commutator

anti_commutator(op_a, op_b)

Computes the anti-commutator of two operators.

The anti-commutator is defined as:

\[\{A, B\} = AB + BA\]

Operators which support this method must implement the SupportsCommutators protocol.

Note

Both inputs must be of the same operator type. This will also determine the output type.

>>> from qiskit_fermions.operators import FermionOperator
>>> from qiskit_fermions.operators.library import anti_commutator
>>> op1 = FermionOperator.from_dict({((True, 0), (False, 0)): 1})
>>> op2 = FermionOperator.from_dict({((False, 0), (True, 0)): 2})
>>> comm = anti_commutator(op1, op2)
>>> comm = comm.normal_ordered()
>>> canon = comm.simplify()
>>> assert canon == FermionOperator.zero()
Parameters:
Returns:

The anti-commutator \(\{A, B\}\).

Return type:

SupportsCommutators