Detection power of separability criteria based on a correlation tensor: a case study

• URL: http://arxiv.org/abs/2012.04359v1
• Date: Tue, 8 Dec 2020 11:12:54 GMT
• Title: Detection power of separability criteria based on a correlation tensor: a case study
• Authors: Gniewomir Sarbicki, Giovanni Scala, Dariusz Chru\'sci\'nski
• Abstract summary: For $d_1 neq d$ all these criteria are weaker than positive partial transposition (PPT) criterion. Interestingly, our analysis supports the recent conjecture that a criterion based on symmetrically informationaly complete positive operator-valued measure (SIC-POVMs) is stronger than criterion.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Detection power of separability criteria based on a correlation tensor is tested within a family of generalized isotropic state in $d_1 \otimes d_2$. For $d_1 \neq d_2$ all these criteria are weaker than positive partial transposition (PPT) criterion. Interestingly, our analysis supports the recent conjecture that a criterion based on symmetrically informationaly complete positive operator-valued measure (SIC-POVMs) is stronger than realignment criterion.

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