A unitary operator U U does indeed satisfy U∗U = I U ∗ U = I, and therefore in particular is an isometry. However, unitary operators must also be surjective (by definition), and are therefore …

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 …

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 …

Jan 5, 2024 · How do i prove that this matrix is unitary? Ask Question Asked 1 year, 11 months ago Modified 1 year, 11 months ago

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 …

1 Let K ∈ {R,C} K ∈ {R, C} be either the field of real numbers R R or the field of complex numbers C C. Definition (Unitary matrix). A unitary matrix is a square matrix U ∈ Kn×n U ∈ K n × n such …

If H is Hermitian, show that eiH e i H is unitary Ask Question Asked 7 years, 9 months ago Modified 7 years, 9 months ago

By definition a matrix $T$ is unitary if $T^*T=I.$ For two real matrices $A,B$, the $i,j$ entry of $AB$ is the inner product of the $i$ row of $A$ and $j$ column of $B$.

Mar 22, 2016 · Prove that the DFT Matrix is Unitary Ask Question Asked 9 years, 9 months ago Modified 1 year, 2 months ago

Mar 26, 2019 · I think the statement is true since the unitary matrix A can only be Identity matrix I or negative identity matrix $-I$; and $B=A^2$ is an identity matrix which makes sure it is unitary.