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 language | English |
|---|---|
| Journal | I E E E Transactions on Information Theory |
| Volume | 60 |
| Issue number | 8 |
| Pages (from-to) | 4973-4986 |
| ISSN | 0018-9448 |
| DOIs | |
| Publication status | Published - Aug 2014 |
| Externally published | Yes |