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arXiv · 1804.08788

Quantum Sampling and Entropic Uncertainty

Walter O. Krawec
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Abstract

In this paper, we show an interesting connection between a quantum sampling technique and quantum uncertainty. Namely, we use the quantum sampling technique, introduced by Bouman and Fehr, to derive a novel entropic uncertainty relation based on smooth min entropy, the binary Shannon entropy of an observed outcome, and the probability of failure of a classical sampling strategy. We then show two applications of our new relation. First, we use it to develop a simple proof of a version of the Maassen and Uffink uncertainty relation. Second, we show how it may be applied to quantum random number generation.

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Walter O. Krawec. 2018-04-24. Quantum Sampling and Entropic Uncertainty. https://arxiv.org/abs/1804.08788

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