Uncertainty relations for arbitrary measurement in terms of Renyi entropies

2008/05/13 by A. E. Rastegin, Alexey E. Rastegin, Rastegin, A. E. · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.48550/arxiv.0805.1777

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

openalex publication_date 2008/05/13 · arxiv created 2008/07/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Statement of uncertainty principle for quantum measurements in terms of the Renyi entropies

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• Statement of uncertainty principle for quantum measurements in terms of the Renyi entropies

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