Duality of privacy amplification against quantum adversaries and data compression with quantum side information

Details Duality of privacy amplification against quantum adversaries and data compression with quantum side information Duality of privacy amplification against quantum adversaries and data compression with quantum side information

2010-03-02

arxiv.org/abs/1003.0703v2

Proc. Roy. Soc. A vol. 467 no. 2130, pp. 1604-1623, 8 June 2011

Physics

Quantum Physics

v2: Includes a derivation of an entropic uncertainty principle for smooth min- and max-entropies. Discussion of the Holevo-S

Scientific paper

10.1098/rspa.2010.0445

We show that the tasks of privacy amplification against quantum adversaries and data compression with quantum side information are dual in the sense that the ability to perform one implies the ability to perform the other. These are two of the most important primitives in classical information theory, and are shown to be connected by complementarity and the uncertainty principle in the quantum setting. Applications include a new uncertainty principle formulated in terms of smooth min- and max-entropies, as well as new conditions for approximate quantum error correction.

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