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Dichotomic probability representation of quantum states

2019/05/25 by Margarita A. Man’ko, Margarita A. Man'ko, Man'ko, Margarita A. +11 · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Law #Mathematical proof #Mathematics #Physics #Probability and statistics #Probability distribution #Pure mathematics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Random variable #Representation (politics) #Statistical Mechanics and Entropy #Statistical physics #Statistics #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.1905.10561

published in arXiv (Cornell University) (Cornell University) · 20 pages, LaTex. Minor corrections

openalex publication_date 2019/05/25 · openalex created_date 2019/05/29 · arxiv created 2020/02/17 · arxiv updated 2020/02/18 · openalex updated_date 2026/08/05

Abstract

We present systematic proofs of statements about probability representations of qudit density states in terms of standard probability distributions of dichotomic random variables. New relations and new entropic-information inequalities are derived. The examples of 3- and 4- level states are explicitly worked out.

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