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    Special Unitary Matrix

    Definition

    A square matrix U is a special unitary matrix if U U^* = I, where I is the identity matrix and U^* is the conjugate transpose matrix, and the determinant is det U = 1. The first condition means that U is a unitary matrix, and the second condition provides a restriction beyond a general unitary matrix, which may have determinant e^(i θ) for θ any real number.

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