On orthogonal bases in the Hilbert-Schmidt space of matrices
Quantum Physics
2022-06-02 v1
Abstract
Decomposition of (finite-dimensional) operators in terms of orthogonal bases of matrices has been a standard method in quantum physics for decades. In recent years, it has become increasingly popular because of various methodologies applied in quantum information, such as the graph state formalism and the theory of quantum error correcting codes, but also due to the intensified research on the Bloch representation of quantum states. In this contribution we collect various interesting facts and identities that hold for finite-dimensional orthogonal matrix bases.
Keywords
Cite
@article{arxiv.2205.06035,
title = {On orthogonal bases in the Hilbert-Schmidt space of matrices},
author = {Jens Siewert},
journal= {arXiv preprint arXiv:2205.06035},
year = {2022}
}
Comments
10 pages