Source: wikibot/unitary-transformation
= Unitary transformation
{wiki=Unitary_transformation}
A unitary transformation is a mathematical operation that transforms a quantum state in a Hilbert space while preserving the inner product, and, consequently, the probabilities associated with quantum measurements. In more formal terms, if you have a quantum state \\( | \\psi \\rangle \\), a unitary transformation \\( U \\) acts on this state to produce a new state \\( | \\psi' \\rangle = U | \\psi \\rangle \\).