Quantum entropic security and approximate quantum encryption

Details Quantum entropic security and approximate quantum encryption Quantum entropic security and approximate quantum encryption

2007-07-05

arxiv.org/abs/0707.0691v2

Physics

Quantum Physics

Corrected mistakes in the proofs of Theorems 3 and 6; results unchanged. To appear in IEEE Transactions on Information Theory.

Scientific paper

10.1109/TIT.2010.2048488

We present full generalisations of entropic security and entropic indistinguishability to the quantum world where no assumption but a limit on the knowledge of the adversary is made. This limit is quantified using the quantum conditional min-entropy as introduced by Renato Renner. A proof of the equivalence between the two security definitions is presented. We also provide proofs of security for two different cyphers in this model and a proof for a lower bound on the key length required by any such cypher. These cyphers generalise existing schemes for approximate quantum encryption to the entropic security model.

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