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

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 …

Jun 3, 2020 · Geometrically, it turns out that every unitary transformation consists of a combination of "reflections" and "rotations". You should verify that rotations and reflections indeed satisfy the two …

Dec 8, 2017 · @TobiasKildetoft The unitary group (and finite groups/fields in general) come up quite often in geometric settings, as the finite classical groups act naturally on projective geometries …

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 …

A normal matrix is unitary iff its eigenvalues have magnitude 1 1. A unitary matrix that happens to have real entries is orthogonal. A transformation can be represented as a matrix with real entries with the …

Mar 22, 2016 · Prove that the DFT Matrix is Unitary Ask Question Asked 9 years, 7 months ago Modified 1 year, 1 month ago

Jul 20, 2012 · On certain decomposition of unitary symmetric matrices Ask Question Asked 13 years, 3 months ago Modified 11 years, 10 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 …

Nov 7, 2016 · The result does not give me the diagonal matrix with the desired eigenvalues though. Also, Google search did not yield a single nicely explained way to do a unitary transform of a normal …