Introduction
Bimonthly, started in 1957
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
location: home > paper >
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Comparation of SOT-Inseparability Witnesses
DOI:
10.16355/j.cnki.issn1007-9432tyut.2018.01.025
Received:
Accepted:
| Corresponding author | Institute | |
| HOU Jinchuan | College of Mathematics, Taiyuan University of Technology |
abstract:
On a tensor product of separable complex Hilbert space, every SOT-inseparable positive operator can be detected by an SOT-inseparability witness.In this paper, the relations of different SOT-inseparability witnesses is discussed.The necessary and sufficient conditions are given for two witnesses to be comparable, to be equivalent, to be optimal, to detect some common SOT-inseparable positive operators, and to detect no common SOT-inseparable positive operators, respectively.
Keywords:
tensor product of Hilbert spaces; positive operators; strong operator topology; separability; witness;