Perfect discrimination of non-orthogonal separable pure states on bipartite system in general probabilistic theory

Arai, Hayato1; Yoshida, Yuuya1; Hayashi, Masahito1,2,3

2019-11-15

10.1088/1751-8121/ab4b64

Journal of Physics A-Mathematical and Theoretical   影响因子和分区

1751-8113

1751-8121

We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements than the class of measurements allowed in quantum theory. The framework composed of the class of separable states and the above extended class of measurements is a typical example of general probabilistic theories. In this framework, we give a necessary and sufficient condition to discriminate two separable pure states perfectly. In particular, we derive measurements explicitly to discriminate two separable pure states perfectly, and find that some non-orthogonal states are perfectly distinguishable. However, the above framework does not improve the capacity, namely, the maximum number of states that are simultaneously and perfectly distinguishable.

perfect discrimination separable states general probabilistic theories

SCI

英语

其他

JSPS[19J20161]

Physics

Physics, Multidisciplinary ; Physics, Mathematical

WOS:000517802600004

IOP PUBLISHING LTD

Web of Science

1.Nagoya Univ, Grad Sch Math, Nagoya, Aichi, Japan
2.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
3.Natl Univ Singapore, Ctr Quantum Technol, 3 Sci Dr 2, Singapore 117542, Singapore

Arai, Hayato,Yoshida, Yuuya,Hayashi, Masahito. Perfect discrimination of non-orthogonal separable pure states on bipartite system in general probabilistic theory[J]. Journal of Physics A-Mathematical and Theoretical,2019,52(46).

Arai, Hayato,Yoshida, Yuuya,&Hayashi, Masahito.(2019).Perfect discrimination of non-orthogonal separable pure states on bipartite system in general probabilistic theory.Journal of Physics A-Mathematical and Theoretical,52(46).

Arai, Hayato,et al."Perfect discrimination of non-orthogonal separable pure states on bipartite system in general probabilistic theory".Journal of Physics A-Mathematical and Theoretical 52.46(2019).