Some Measurement-Based Characterizations of Separability of Bipartite States

Importance of quantum entanglement has been demonstrated in various applications. Usually, separability of a bipartite state is defined by its algebraic structure, i.e. a convex combination of product states. But it seems to be hard to check separability (equivalently, entanglement) of a state from...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 60; no. 7; pp. 2558 - 2572
Main Authors Cao, Huaixin, Zhang, Chengyang, Guo, Zhihua
Format Journal Article
LanguageEnglish
Published New York Springer US 01.07.2021
Springer Nature B.V
Subjects
Algebra
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum entanglement
Quantum Field Theory
Quantum mechanics
Quantum Physics
Theoretical
Separability
Classical correlation
Unsteerability
Bell locality
POVM measurement
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Summary:Importance of quantum entanglement has been demonstrated in various applications. Usually, separability of a bipartite state is defined by its algebraic structure, i.e. a convex combination of product states. But it seems to be hard to check separability (equivalently, entanglement) of a state from its algebraic structure. In this note, we give some characterizations of separability of bipartite states based on POVM measurements. For bipartite pure states, we prove the separability, Bell locality, unsteerability and classical correlation are the same. As a consequence, every entangled pure bipartite state is always Bell nonlocal, steerable and quantum correlated.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-020-04678-9