Linking Classical and Quantum Key Agreement: Is There ``Bound Information''?
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
New bounds in secret-key agreement: the gap between formation and secrecy extraction
EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
Security bounds in quantum cryptography using d-level systems
Quantum Information & Computation
Unconditionally secure key agreement and the intrinsic conditional information
IEEE Transactions on Information Theory
On quantum detection and the square-root measurement
IEEE Transactions on Information Theory
Secret key agreement by public discussion from common information
IEEE Transactions on Information Theory
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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.