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Open Quantum Systems Decoherence

On the Multiplicity of Density Operator Representation

arXiv
Authors: Gianfranco Cariolaro, Edi Ruffa

Year

2024

Paper ID

66223

Status

Preprint

Abstract Read

~2 min

Abstract Words

78

Citations

N/A

Abstract

The density operator is usually defined starting from a set of kets in the Hilbert space and a probability distribution. From this definition it is easy to obtain a factorization of a given density operator, here called density factor (DF). The multiplicity and the variety of DFs is investigated using the tools of Matrix Analysis, arriving in particular to establish the DF with minimal size. The approach based on Matrix Analysis does not seem to be available elsewhere.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • The density operator is usually defined starting from a set of kets in the Hilbert space and a probability distribution.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2406.15615 [2] arXiv https://arxiv.org/abs/2406.15615 [3] Publisher https://arxiv.org/abs/2406.15615

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