English

Uncertainty relations for arbitrary measurement in terms of Renyi entropies

Quantum Physics 2008-07-21 v2

Abstract

Uncertainty relations for a pair of arbitrary measurements and for a single measurement are posed in the form of inequalities using the Renyi entropies. The formulation deals with discrete observables. Both the relations with state-dependent and state-independent bounds are presented. The entropic bounds are illustrated within the distinction between non-orthogonal states.

Keywords

Cite

@article{arxiv.0805.1777,
  title  = {Uncertainty relations for arbitrary measurement in terms of Renyi entropies},
  author = {A. E. Rastegin},
  journal= {arXiv preprint arXiv:0805.1777},
  year   = {2008}
}

Comments

4 pages, no figures. Improved state-dependent entropic bounds are presented. The bibliography is extended. The supplementary material is contained in arXiv:0807.2691