English

Relative entropic uncertainty relation

Quantum Physics 2021-06-07 v2

Abstract

Quantum uncertainty relations are formulated in terms of relative entropy between distributions of measurement outcomes and suitable reference distributions with maximum entropy. This type of entropic uncertainty relation can be applied directly to observables with either discrete or continuous spectra. We find that a sum of relative entropies is bounded from above in a nontrivial way, which we illustrate with some examples.

Keywords

Cite

@article{arxiv.2012.10080,
  title  = {Relative entropic uncertainty relation},
  author = {Stefan Floerchinger and Tobias Haas and Ben Hoeber},
  journal= {arXiv preprint arXiv:2012.10080},
  year   = {2021}
}

Comments

10 pages, no figures

R2 v1 2026-06-23T21:04:11.069Z