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

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

2009-07-22

arxiv.org/abs/0907.3778v2

Phys. Rev. A 82, 032313 (2010)

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevA.82.032313

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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