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- Title
Quantum sampling and entropic uncertainty.
- Authors
Krawec, Walter O.
- 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.
- Subjects
ENTROPIC uncertainty; UNCERTAINTY (Information theory); QUANTUM numbers; RANDOM numbers; SAMPLING (Process); QUANTUM cryptography; NANOELECTRONICS
- Publication
Quantum Information Processing, 2019, Vol 18, Issue 12, pN.PAG
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-019-2481-5