Full Security of Quantum Key Distribution From No-Signaling Constraints

L. Masanes,, R. Renner, Matthias Christandl, Andreas Winter, J. Barrett

Research output: Contribution to journalJournal articleResearchpeer-review

33 Citations (Scopus)

Abstract

We analyze a cryptographic protocol for generating a distributed secret key from correlations that violate a Bell inequality by a sufficient amount, and prove its security against eavesdroppers, constrained only by the assumption that any information accessible to them must be compatible with the non-signaling principle. The claim holds with respect to the state-of-the-art security definition used in cryptography, known as universally-composable security. The non-signaling assumption only refers to the statistics of measurement outcomes depending on the choices of measurements; hence security is independent of the internal workings of the devices - they do not even need to follow the laws of quantum theory. This is relevant for practice as a correct and complete modeling of realistic devices is generally impossible. The techniques developed are general and can be applied to other Bell inequality-based protocols. In particular, we provide a scheme for estimating Bell-inequality violations when the samples are not independent and identically distributed.
Original languageEnglish
JournalI E E E Transactions on Information Theory
Volume60
Issue number8
Pages (from-to)4973-4986
ISSN0018-9448
DOIs
Publication statusPublished - 2014
Externally publishedYes

Cite this