# cirq.is_special_unitary¶

cirq.is_special_unitary(matrix: numpy.ndarray, *, rtol: float = 1e-05, atol: float = 1e-08) → bool[source]

Determines if a matrix is approximately unitary with unit determinant.

A matrix is special-unitary if it is square and its adjoint is its inverse
and its determinant is one.
Parameters
• matrix – The matrix to check.

• rtol – The per-matrix-entry relative tolerance on equality.

• atol – The per-matrix-entry absolute tolerance on equality.

Returns

Whether the matrix is unitary with unit determinant within the given tolerance.