Journal
OPEN SYSTEMS & INFORMATION DYNAMICS
Volume 28, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1230161221500104
Keywords
Entanglement detection; SIC-POVMs; realignment criterion; entanglement witness
Funding
- Polish National Science Centre [2018/30/A/ST2/00837]
- INFN through the project QUANTUM
- Foundation for Polish Science (IRAP project, ICTQT) [2018/MAB/5]
- European Union from the funds of the Smart Growth Operational Programme, axis IV: Increasing the research potential (Measure 4.3)
- National Science Center (Poland) [2016/22/E/ST2/00559]
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The detection power of separability criteria based on a correlation tensor was tested in a family of generalized isotropic states in d(1) circle times d(2). It was found that for d(1) <= d(2), all these criteria are weaker than the positive partial transposition (PPT) criterion, and a criterion based on symmetrically informationally complete positive operator-valued measure (SIC-POVMs) is stronger than realignment criterion, as supported by the analysis.
Detection power of separability criteria based on a correlation tensor is tested within a family of generalized isotropic states in d(1) circle times d(2). For d(1) <= d(2) all these criteria are weaker than the positive partial transposition (PPT) criterion. Interestingly, our analysis supports the recent conjecture that a criterion based on symmetrically informationally complete positive operator-valued measure (SIC-POVMs) is stronger than realignment criterion.
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