Bounds on Information and the Security of Quantum Cryptography

Physics – Quantum Physics

Scientific paper

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11 pages, LaTex, 1 figure. Submitted to Physical Review Letters. This new version is much different from the previous (confere

Scientific paper

Strong attacks against quantum key distribution use quantum memories and quantum gates to attack directly the final key. In this paper we extend a novel security result recently obtained, to demonstrate proofs of security against a wide class of such attacks. To reach this goal we calculate information-dependent reduced density matrices, we study the geometry of quantum mixed states, and we find bounds on the information leaked to an eavesdropper. Our result suggests that quantum cryptography is ultimately secure.

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