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Quantum J-channels on Krein spaces
- Authors
- Heo, Jaeseong
- Issue Date
- Dec-2022
- Publisher
- SPRINGER
- Keywords
- J-positive matrix; Completely J-positive map; Quantum J-state; Quantum J-channel; J-separable state; J-entangled state; J-PPT state; J-entanglement breaking map; J-PPT squared conjecture
- Citation
- QUANTUM INFORMATION PROCESSING, v.22, no.1, pp.1 - 18
- Indexed
- SCIE
SCOPUS
- Journal Title
- QUANTUM INFORMATION PROCESSING
- Volume
- 22
- Number
- 1
- Start Page
- 1
- End Page
- 18
- ISSN
- 1570-0755
- Abstract
- In this paper, we consider Krein spaces and completely J-positive maps between the algebras of bounded linear operators. We first give a Stinespring type representation for a completely J-positive map. We introduce the Choi J-matrix of a linear map and also establish the equivalence of Kraus J-decompositions and Choi J-matrices. We give the J-PPT criterion for separability of J-states and discuss the entanglement breaking condition of quantum J-channels and suggest to prove the J-PPT squared conjecture to solve the PPT squared conjecture. Finally, we gave a concrete example of a completely J-positive map and some examples of 3 circle times 3 quantum J-states which are J-entangled and J-separable.
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)