Explore: Unitary Transformations

Antiunitary Orthogonal transformation Time reversal Unitary group Unitary operator Unitary matrix Wigner's theorem Unitary transformations in quantum mechanics

= U † ψ ˘ {\displaystyle \psi =U^{\dagger }{\breve {\psi }}} . Unitary transformations can be seen as a generalization of the interaction (Dirac) picture

Householder transformations are unitary matrices, and since the multiplication of unitary matrices is itself a unitary matrix, this gives us the unitary matrix

two decompositions can differ: The decomposition is unique up to unitary transformations. More formally, if A {\displaystyle A} is a k × n {\displaystyle

morphism Unitary operator Unitary transformation Unitary representation Unitarity (physics) E-unitary inverse semigroup Unitary authority Unitary state Unitary

unit-phase factor. In general, the SVD is unique up to arbitrary unitary transformations applied uniformly to the column vectors of both ⁠ U {\displaystyle

theory of solids. Wiley. ISBN 0-471-62412-8. Wagner, M. (1986). Unitary Transformations in Solid State Physics. Elsevier Science. ISBN 0-444-86975-1.

In quantum physics, unitarity is (or a unitary process has) the condition that the time evolution of a quantum state according to the Schrödinger equation

256 {\displaystyle 2^{8}\times 2^{8}=256\times 256} elements. Unitary transformations that are not in the set of gates natively available at the quantum

Schrödinger or the Heisenberg picture. This is because time-dependent unitary transformations relate operators in one picture to the analogous operators in the