4 results about "Unitary matrix" patented technology

In mathematics, a complex square matrix U is unitary if its conjugate transpose U∗ is also its inverse—that is, if U*U=UU*=I, where I is the identity matrix. In physics, especially in quantum mechanics, the Hermitian conjugate of a matrix is denoted by a dagger (†) and the equation above becomes U†U=UU†=I. The real analogue of a unitary matrix is an orthogonal matrix. Unitary matrices have significant importance in quantum mechanics because they preserve norms, and thus, probability amplitudes.