What is the difference between isometric and unitary operators on …
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 …
prove that an operator is unitary - Mathematics Stack Exchange
Jun 21, 2020 · prove that an operator is unitary Ask Question Asked 5 years, 6 months ago Modified 5 years, 5 months ago
linear algebra - Singular value decomposition for unitary matrices ...
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 …
How to do a unitary diagonalization of a normal matrix?
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 …
linear algebra - What's the interpretation of a unitary matrix ...
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 …
If H is Hermitian, show that $e^ {iH}$ is unitary
In the case where H is acting on a finite dimensional vector space, you can essentially view it as a matrix, in which case (by for example the BCH formula) the relation you state in a) is valid. …
functional analysis - What is a conjugate unitary operator ...
Jun 18, 2024 · Personally, I use the terminology "anti-unitary operator", and without further context, I would guess that "conjugate unitary operator" means the same thing (just as "anti …
linear algebra - Norm preservation properties of a unitary matrix ...
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} …
What is the general expression for a unitary $3 \times 3$ matrix?
Jun 19, 2017 · What is the general expression for a unitary $3 \times 3$ matrix? Ask Question Asked 8 years, 6 months ago Modified 1 year, 11 months ago
Prove that $e^ {iAt}$ is unitary if $A$ is Hermitian
Mar 13, 2021 · Prove that $e^ {iAt}$ is unitary if $A$ is Hermitian Ask Question Asked 4 years, 9 months ago Modified 4 years, 9 months ago