A stronger notion is unitary equivalence, i.e., similarity induced by a unitary transformation (since these are the isometric isomorphisms of Hilbert space), which again cannot happen between a nonunitary …

Jan 13, 2021 · I know the title is strange, but there are many instances in quantum information in which one is interested not in diagonalizing a unitary matrix, but instead in finding its singular value …

Unitary matrices are the complex versions, and they are the matrix representations of linear maps on complex vector spaces that preserve "complex distances". If you have a complex vector space then …

Dec 6, 2020 · Show that if $A$ and $B$ are unitary matrices, then $C = A \\otimes B$ is unitary.

Sep 10, 2015 · I am trying to prove that the inverse of the fourier transform is equal to its adjoint (i.e. it is a unitary linear operator). I am working with the inner product $\langle s_1,s_2 \rangle=\int_ {-\...

Nov 7, 2021 · is there any unitary matrix that has determinant that is not $\pm 1$ or $\pm i$? Ask Question Asked 4 years, 4 months ago Modified 4 years, 4 months ago

Jan 30, 2015 · The form of $2 \times 2$ unitary matrices Ask Question Asked 13 years, 2 months ago Modified 2 years, 8 months ago

Definition (Unitary matrix). A unitary matrix is a square matrix $\mathbf {U} \in \mathbb {K}^ {n \times n}$ such that \begin {equation} \mathbf {U}^* \mathbf {U} = \mathbf {I} = \mathbf {U} \mathbf {U}^*. \end …

Jun 21, 2020 · prove that an operator is unitary Ask Question Asked 5 years, 8 months ago Modified 5 years, 8 months ago

Jul 20, 2012 · On certain decomposition of unitary symmetric matrices Ask Question Asked 13 years, 7 months ago Modified 12 years, 2 months ago