def METHOD_NAME(self, other: Any, *, atol: float) -> Union[None, bool, NotImplementedType]:
    r"""Determines if this object commutes with the other object.
    Can return None to indicate the commutation relationship is
    indeterminate (e.g. incompatible matrix sizes). Can return
    NotImplemented to indicate to the caller that they should try some other
    way of determining the commutation relationship.
    Args:
        other: The other object that may or may not commute with the
            receiving object.
        atol: Absolute error tolerance. Some objects that commute may appear
            to not quite commute, due to rounding error from floating point
            computations. This parameter indicates an acceptable level of
            deviation from exact commutativity. The exact meaning of what
            error is being tolerated is not specified. It could be the
            maximum angle between rotation axes in the Bloch sphere, or the
            maximum trace of the absolute value of the commutator, or
            some other value convenient to the implementor of the method.
    Returns:
        Whether or not the values commute.
        True: `self` commutes with `other` within absolute tolerance `atol`.
        False: `self` does not commute with `other`.
        None: There is not a well defined commutation result. For example,
        whether or not parameterized operations will commute may depend
        on the parameter values and so is indeterminate.
        NotImplemented: Unable to determine anything about commutativity.
        Consider falling back to other strategies, such as asking
        `other` if it commutes with `self` or computing the unitary
        matrices of both values.
    """