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A New High-Dimensional Quantum Entropic Uncertainty Relation with Applications

Quantum Physics 2020-05-26 v2

Abstract

In this paper we derive a new quantum entropic uncertainty relation, bounding the conditional smooth quantum min entropy based on the result of a measurement using a two outcome POVM and the failure probability of a classical sampling strategy. Our relation works for systems of arbitrary finite dimension. We apply it to analyze a new source independent quantum random number generation protocol and show our relation provides optimistic results compared to prior work.

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Cite

@article{arxiv.2005.04773,
  title  = {A New High-Dimensional Quantum Entropic Uncertainty Relation with Applications},
  author = {Walter O. Krawec},
  journal= {arXiv preprint arXiv:2005.04773},
  year   = {2020}
}

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R2 v1 2026-06-23T15:26:28.097Z