def check_commutativity(op_1, op_2, anti=False):
    """
    Check the (anti-)commutativity between two operators.

    Args:
        op_1 (WeightedPauliOperator): operator
        op_2 (WeightedPauliOperator): operator
        anti (bool): if True, check anti-commutativity, otherwise check commutativity.

    Returns:
        bool: whether or not two operators are commuted or anti-commuted.
    """
    com = op_1 * op_2 - op_2 * op_1 if not anti else op_1 * op_2 + op_2 * op_1
    com.simplify()
    return bool(com.is_empty())