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Security proof for cryptographic protocols based only on the monogamy of Bell's inequality violations

2009/07/31 by Marcin Pawlowski · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.82.032313

published as Phys. Rev. A 82, 032313 (2010) · 4 pages, 1 figure

arxiv created 2010/09/21 · arxiv updated 2010/09/22

Abstract

We show that monogamy of Bell's inequality violations, which is strictly weaker condition than no-signaling is enough to prove security of quantum key distribution. We derive our results for a whole class of monogamy constraints and generalize our results to any theory that communicating parties may have access to. Some of these theories do not respect no-signaling principle yet still allow for secure communication. This proves that no-signaling is only a sufficient condition for the possibility of secure communication, but not the necessary one. We also present some new qualitative results concerning the security of existing quantum key distribution protocols.

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