Extremal Quantum Correlations and Cryptographic Security

Details Extremal Quantum Correlations and Cryptographic Security Extremal Quantum Correlations and Cryptographic Security

2010-10-06

arxiv.org/abs/1010.1131v2

Phys. Rev. Lett. 106, 250502 (2011)

Physics

Quantum Physics

7 pages, 2 figures, revised version, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.106.250502

We investigate a fundamental property of device independent security in quantum cryptography by characterizing probability distributions which are necessarily independent of the measurement results of any eavesdropper. We show that probability distributions that are secure in this sense are exactly the extremal quantum probability distributions. This allows us to give a characterization of security in algebraic terms. We apply the method to common examples for two-party as well as multi-party setups and present a scheme for verifying security of probability distributions with two parties, two measurement settings, and two outcomes.

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