Construction of a family of positive but not completely positive map for the detection of bound entangled states

We construct a family of map which is shown to be positive when imposing certain condition on the parameters. Then, we show that the constructed map can never be completely positive. After tuning the parameters, we found that the map still remains positive, but it is not completely positive. We then...

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Bibliographic Details
Published in:Quantum information processing 2021-11, Vol.20 (11), Article 374
Main Authors: Rohira, Richa, Sanduja, Shreya, Adhikari, Satyabrata
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Entangled states
Mathematical Physics
Parameters
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Summary:We construct a family of map which is shown to be positive when imposing certain condition on the parameters. Then, we show that the constructed map can never be completely positive. After tuning the parameters, we found that the map still remains positive, but it is not completely positive. We then use the positive but not completely positive map in the detection of bound entangled state and negative partial transpose entangled states.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-021-03291-x