English

Can bipartite classical information resources be activated?

Quantum Physics 2012-03-08 v1

Abstract

Non-additivity is one of the distinctive traits of Quantum Information Theory: the combined use of quantum objects may be more advantageous than the sum of their individual uses. Non-additivity effects have been proven, for example, for quantum channel capacities, entanglement distillation or state estimation. In this work, we consider whether non-additivity effects can be found in Classical Information Theory. We work in the secret-key agreement scenario in which two honest parties, having access to correlated classical data that are also correlated to an eavesdropper, aim at distilling a secret key. Exploiting the analogies between the entanglement and the secret-key agreement scenario, we provide some evidence that the secret-key rate may be a non-additive quantity. In particular, we show that correlations with conjectured bound information become secret-key distillable when combined. Our results constitute a new instance of the subtle relation between the entanglement and secret-key agreement scenario.

Keywords

Cite

@article{arxiv.1203.1445,
  title  = {Can bipartite classical information resources be activated?},
  author = {Giuseppe Prettico and Antonio Acin},
  journal= {arXiv preprint arXiv:1203.1445},
  year   = {2012}
}
R2 v1 2026-06-21T20:30:16.903Z