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No Quantum Realization of Extremal No-Signaling Boxes

Abstract

The study of quantum correlations is important for fundamental reasons as well as for quantum communication and information processing tasks. On the one hand, it is of tremendous interest to derive the correlations produced by measurements on separated composite quantum systems from within the set of all correlations obeying the no-signaling principle of relativity, by means of information-theoretic principles. On the other hand, an important ongoing research program concerns the formulation of device-independent cryptographic protocols based on quantum nonlocal correlations for the generation of secure keys, and the amplification and expansion of random bits against general no-signaling adversaries. In both these research programs, a fundamental question arises: Can any measurements on quantum states realize the correlations present in pure extremal no-signaling boxes? Here, we answer this question in full generality showing that no nontrivial (not local realistic) extremal boxes of general no-signaling theories can be realized in quantum theory. We then explore some important consequences of this fact.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
PHYSICAL REVIEW LETTERS no. 117, edition 5, pages 1 - 8,
ISSN: 0031-9007
Language:
English
Publication year:
2016
Bibliographic description:
Ramanathan R., Tuziemski J., Horodecki M., Horodecki P.: No Quantum Realization of Extremal No-Signaling Boxes// PHYSICAL REVIEW LETTERS. -Vol. 117, iss. 5 (2016), s.1-8
DOI:
Digital Object Identifier (open in new tab) 10.1103/physrevlett.117.050401
Verified by:
Gdańsk University of Technology

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