2019/03/31 by Wallas S. Nascimento, Wallas S Nascimento, Marcos M. de Almeida +3 · 9 citations
Physics and Astronomy · #Coherent information #Entropic uncertainty #Entropy (arrow of time) #Fourier transform #Information diagram #Information theory #Measure (data warehouse) #Normalization (sociology) #Quantum #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum information #Statistical Mechanics and Entropy #physics.atom-ph #quant-ph
paper · pdf · doi:10.1088/1361-6404/ab5f7d
published in European Journal of Physics 41(2), 025405 (IOP Publishing) · Version accepted for publication in European Journal of Physics
openalex publication_date 2019/12/06 · arxiv created 2019/12/07 · arxiv updated 2019/12/10 · openalex created_date 2019/12/13 · openalex updated_date 2026/08/05
Abstract We pedagogically present the information theory as originally established, explaining its essential ideas and paying attention to the expression employed to measure the amount of information. We also discuss relationships between information and quantum theories. In this context we determine the information entropies on the position, S x , and momentum, S p , spaces, in addition to the entropy sum, S t . Here, we use the modified entropic expressions that are dimensionally consistent. We provide original explanations for the behaviors of the S x , S p and S t values analyzing the probability densities and by means of the normalization constants and properties of Fourier transform. We validate the entropic uncertainty relation and inspect the standard deviation and information entropies as measures of quantum uncertainty. The systems of interest are unidimensional one-particle quantum systems in the ground and excited states.