cirq.bidiagonalize_unitary_with_special_orthogonals

Finds orthogonal matrices L, R such that L @ matrix @ R is diagonal.

cirq.bidiagonalize_unitary_with_special_orthogonals(
    mat: np.ndarray,
    *,
    rtol: float = 1e-05,
    atol: float = 1e-08,
    check_preconditions: bool = True
) -> Tuple[np.ndarray, np.ndarray, np.ndarray]

Args
`mat`	A unitary matrix.
`rtol`	Relative numeric error threshold.
`atol`	Absolute numeric error threshold.
`check_preconditions`	If set, verifies that the input is a unitary matrix (to the given tolerances). Defaults to set.

Returns
A triplet (L, d, R) such that L @ mat @ R = diag(d). Both L and R will be orthogonal matrices with determinant equal to 1.

Raises
`ValueError`	Matrices don't meet preconditions (e.g. not real).

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Last updated 2024-06-27 UTC.

cirq.bidiagonalize_unitary_with_special_orthogonals

Args

Returns

Raises