Using Stein's estimator to correct the bound on the entropic uncertainty principle for more than two measurements

2017/02/06 by Mark Stander, Stander, Mark
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1702.02440

openalex publication_date 2017/02/06 · openalex created_date 2017/05/19 · openalex updated_date 2026/07/28

Abstract

This note shows how to apply the James-Stein estimator to the case of entropic uncertainty relations of more than two observables. A better result is found compared to applying the ordinary estimator and we find a more optimal model compared with experimental data. The theoretical bounds for entropic relations for entropic relations for more than two observables are shown to be improved.

Related

• Entropic uncertainty relations for incomplete sets of mutually unbiased observables
• Additivity of entropic uncertainty relations
• Optimality of entropic uncertainty relations
• Limits on entropic uncertainty relations for 3 and more MUBs
• Asymptotic entropic uncertainty relations