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Quantum Information Processing

J-states and quantum channels between indefinite metric spaces

  • 01-04-2022
Published in:
Authors
Raúl Felipe-Sosa
Raúl Felipe
Published in
Quantum Information Processing | Issue 4/2022

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Abstract

The article 'J-states and quantum channels between indefinite metric spaces' delves into the extension of quantum information theory to spaces with indefinite metrics. It introduces J-states, completely J-positive maps, and quantum J-channels, which are generalizations of quantum states, completely positive maps, and quantum channels, respectively. The study is motivated by the need to incorporate statistical aspects into quantum mechanics and is rooted in the work of P.M. Dirac and S.L. Sobolev. The authors explore the properties of these new entities and their applications, highlighting the potential for enhanced security in quantum information transmission. The paper is organized into sections that introduce and analyze J-states, completely J-positive maps, and quantum J-channels, culminating in the discussion of quantum J-channels that transform states between different indefinite metric spaces. The article concludes with two open problems for future research, emphasizing the dynamics of linear operators in indefinite metric spaces and the relationship between quantum J-channels and Jordan algebras.
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previous article Local trade-off between information and disturbance in quantum measurements
next article A novel quantum ring signature scheme without using entangled states
Title
J-states and quantum channels between indefinite metric spaces
Authors
Raúl Felipe-Sosa
Raúl Felipe
Publication date
01-04-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 4/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03472-2
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