On orthogonal bases in the Hilbert-Schmidt space of matrices
- URL: http://arxiv.org/abs/2205.06035v1
- Date: Thu, 12 May 2022 11:41:52 GMT
- Title: On orthogonal bases in the Hilbert-Schmidt space of matrices
- Authors: Jens Siewert
- Abstract summary: 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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