cirq.AxisAngleDecomposition

Represents a unitary operation as an axis, angle, and global phase.

cirq.AxisAngleDecomposition(
    *,
    angle: float,
    axis: Tuple[float, float, float],
    global_phase: Union[int, float, complex]
)

The unitary \(U\) is decomposed as follows:

$$U = g e^{-i   heta/2 (xX + yY + zZ)}$$

where heta is the rotation angle, (x, y, z) is a unit vector along the rotation axis, and g is the global phase.

Methods

canonicalize(
    atol: float = 1e-08
) -> 'AxisAngleDecomposition'

Returns a standardized AxisAngleDecomposition with the same unitary.

Ensures the axis (x, y, z) satisfies x+y+z >= 0. Ensures the angle theta satisfies -pi + atol < theta <= pi + atol.

Args
`atol`	Absolute tolerance for errors in the representation and the canonicalization. Determines how much larger a value needs to be than pi before it wraps into the negative range (so that approximation errors less than the tolerance do not cause sign instabilities).

Returns
The canonicalized AxisAngleDecomposition.

__eq__(
    other: _SupportsValueEquality
) -> bool

__ne__(
    other: _SupportsValueEquality
) -> bool