Leftover Hashing against quantum side information


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Date

2010

Publication Type

Conference Paper

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yes

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Abstract

The Leftover Hash Lemma states that the output of a two-universal hash function applied to an input with sufficiently high entropy is almost uniformly random. In its standard formulation, the lemma refers to a notion of randomness that is (usually implicitly) defined with respect to classical side information. Here, we prove a (strictly) more general version of the Leftover Hash Lemma that is valid even if side information is represented by the state of a quantum system. Furthermore, our result applies to arbitrary δ-almost two-universal families of hash functions. The generalized Leftover Hash Lemma has applications in cryptography, e.g., for key agreement in the presence of an adversary who is not restricted to classical information processing.

Publication status

published

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Book title

2010 IEEE International Symposium on Information Theory

Journal / series

Volume

Pages / Article No.

2703 - 2707

Publisher

IEEE

Event

IEEE International Symposium on Information Theory (ISIT 2010)

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Software

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Organisational unit

03781 - Renner, Renato / Renner, Renato check_circle

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