English

Contradictory entropic joint uncertainty relations for complementary observables in two-level systems

Quantum Physics 2013-06-24 v1

Abstract

We show that different entropic measures of fluctuations lead to contradictory uncertainty relations for two complementary observables. We apply Tsallis and R\'{e}nyi entropies to the joint distribution emerging from a noisy simultaneous measurement of both observables as well as to the product of their individual statistics, either intrinsic or of operational origin.

Keywords

Cite

@article{arxiv.1306.5211,
  title  = {Contradictory entropic joint uncertainty relations for complementary observables in two-level systems},
  author = {Alfredo Luis},
  journal= {arXiv preprint arXiv:1306.5211},
  year   = {2013}
}

Comments

8 pages, 8 figures

R2 v1 2026-06-22T00:38:17.911Z