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"What Is Life?": Open Quantum Systems Approach
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modeling Phys & Cognit Sci)ORCID iD: 0000-0003-2396-6193
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modeling Phys & Cognit Sci)ORCID iD: 0000-0002-9857-0938
2022 (English)In: Open systems & information dynamics, ISSN 1230-1612, E-ISSN 1573-1324, Vol. 29, no 4, article id 2250016Article in journal (Refereed) Published
Abstract [en]

Recently, the quantum formalism and methodology have been used in application to the modelling of information processing in biosystems, mainly to the process of decision making and psychological behaviour (but some applications in microbiology and genetics are considered as well). Since a living system is fundamentally open (an isolated biosystem is dead), the theory of open quantum systems is the most powerful tool for life-modelling. In this paper, we turn to the famous Schrodinger's book "What is life?" and reformulate his speculations in terms of this theory. Schrodinger pointed to order preservation as one of the main distinguishing features of biosystems. Entropy is the basic quantitative measure of order. In physical systems, entropy has the tendency to increase (Second Law of Thermodynamics for isolated classical systems and dissipation in open classical and quantum systems). Schrodinger emphasized the ability of biosystems to beat this tendency. We demonstrate that systems processing information in the quantum-like way can preserve the order-structure expressed by the quantum (von Neumann or linear) entropy. We emphasize the role of the special class of quantum dynamics and initial states generating the camel-like graphs for entropy-evolution in the process of interaction with a new environment E: 1) entropy (disorder) increasing in the process of adaptation to the specific features of E; 2) entropy decreasing (order increasing) resulting from adaptation; 3) the restoration of order or even its increase for limiting steady state. In the latter case the steady state entropy can be even lower than the entropy of the initial state.

Place, publisher, year, edition, pages
World Scientific, 2022. Vol. 29, no 4, article id 2250016
Keywords [en]
Biological systems, open quantum systems, information environment, order stability, entropy, von Neumann entropy, quantum Markov dynamics, steady state
National Category
Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-120910DOI: 10.1142/S1230161222500160ISI: 000968222600001Scopus ID: 2-s2.0-85147833870OAI: oai:DiVA.org:lnu-120910DiVA, id: diva2:1759499
Available from: 2023-05-26 Created: 2023-05-26 Last updated: 2023-07-03Bibliographically approved

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Basieva, IrinaKhrennikov, Andrei

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