No Quantum Realization of Extremal No-Signaling Boxes

Ravishankar Ramanathan, Jan Tuziemski, Michał Horodecki, and Paweł Horodecki
Phys. Rev. Lett. 117, 050401 – Published 25 July 2016
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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.

  • Received 19 January 2016

DOI:https://doi.org/10.1103/PhysRevLett.117.050401

© 2016 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Ravishankar Ramanathan1,2,*, Jan Tuziemski1,3, Michał Horodecki1,2, and Paweł Horodecki1,3

  • 1National Quantum Information Center of Gdańsk, 81-824 Sopot, Poland
  • 2Institute of Theoretical Physics and Astrophysics, University of Gdańsk, 80-952 Gdańsk, Poland
  • 3Faculty of Applied Physics and Mathematics, Technical University of Gdańsk, 80-233 Gdansk, Poland

  • *ravishankar.r.10@gmail.com

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Issue

Vol. 117, Iss. 5 — 29 July 2016

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