REAL

Family of Bell inequalities violated by higher-dimensional bound entangled states

Pál, Károly Ferenc and Vértesi, Tamás (2017) Family of Bell inequalities violated by higher-dimensional bound entangled states. PHYSICAL REVIEW A, 96 (2). ISSN 2469-9926

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Abstract

We construct (d×d)-dimensional bound entangled states, which violate, for any d>2, a bipartite Bell inequality introduced in this paper. We conjecture that the proposed class of Bell inequalities acts as a dimension witness for bound entangled states: For any d>2 there exists a Bell inequality from this class that can be violated with bound entangled states only if their Hilbert space dimension is at least d×d. Numerics supports this conjecture up to d=8. © 2017 American Physical Society.

Item Type: Article
Subjects: Q Science / természettudomány > Q1 Science (General) / természettudomány általában
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 25 May 2023 11:07
Last Modified: 25 May 2023 11:07
URI: http://real.mtak.hu/id/eprint/166086

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