Linking Classical and Quantum Key Agreement: Is There ``Bound Information''?
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
Convex Optimization
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
Unconditionally secure key agreement and the intrinsic conditional information
IEEE Transactions on Information Theory
Key Distillation and the Secret-Bit Fraction
IEEE Transactions on Information Theory
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Within entanglement theory there are criteria which certify that some quantum statescannot be distilled into pure entanglement. An example is the positive partial trans-position criterion. Here we present, for the first time, the analogous thing for secretcorrelations. We introduce a computable criterion which certifies that a probability dis-tribution between two honest parties and an eavesdropper cannot be (asymptotically)distilled into a secret key. The existence of non-distillable correlations with positive se-crecy cost, also known as bound information, is an open question. This criterion maybe the key for finding bound information. However, if it turns out that this criteriondoes not detect bound information, then, a very interesting consequence follows: anydistribution with positive secrecy cost can increase the secrecy content of another dis-tribution. In other words, all correlations with positive secrecy cost constitute a usefulresource.