2006/06/30 by Esteban Guevara Hidalgo · 9 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Coherent information #Entropy (arrow of time) #Generalized relative entropy #Joint quantum entropy #Mathematical economics #Mathematics #Maximum entropy thermodynamics #Physics #Principle of maximum entropy #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum information #Quantum mechanics #Quantum relative entropy #Statistical physics #Statistics #Von Neumann entropy #quant-ph
paper · pdf · doi:10.1016/j.physa.2007.05.001
published in Physica A Statistical Mechanics and its Applications 383(2), 797-804 (Elsevier BV) · 6 pages
openalex publication_date 2007/05/24 · arxiv created 2016/12/08 · arxiv updated 2016/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose the study of quantum games from the point of view of quantum information theory and statistical mechanics. Every game can be described by a density operator, the von Neumann entropy and the quantum replicator dynamics. There exists a strong relationship between game theories, information theories and statistical physics. The density operator and entropy are the bonds between these theories. The analysis we propose is based on the properties of entropy, the amount of information that a player can obtain about his opponent and a maximum or minimum entropy criterion. The natural trend of a physical system is to its maximum entropy state. The minimum entropy state is a characteristic of a manipulated system i.e. externally controlled or imposed. There exist tacit rules inside a system that do not need to be specified or clarified and search the system equilibrium under the collective welfare principle. The other rules are imposed over the system when one or many of its members violate this principle and maximize its individual welfare at the expense of the group.