What is life?’’: Open quantum systems approach
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© 2023 Institute of Molecular Genetics and Genetic Engineering, University of Belgrade
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Recently the quantum formalism and methodology started to be applied to modeling
of information processing in biosystems, mainly to the process of decision making and
psychological behavior (but some applications to 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-modeling. In this
presentation, we turn to the famous Schrödinger book “What is life?” and reformulate his
speculations in terms of this theory. Schrödinger pointed out to order preservation as one
of the main distinguishing features of biosystems. Entropy has the tendency to increase
(Second Law of Thermodynamics for isolated classical systems and dissipation in open
classical and quantum systems). Schrödinger emphasized the ability of biosystems to beat
this tendency. We demonstrate that systems processing information in the quantumlike
way can preserve the order-str...ucture 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.
Such quantum entropy dynamics is illustrated by graphs obtained via numerical simulation
for quantum master equation. For simplicity of modelling we consider only quantum
Markov dynamics. But the real dynamics of biosystems’ states is non-Markovean.
Keywords:
open quantum systems / biosystems / order stability / entropy dynamics / quantum master equation / adaptation to environment / camel-like shape of entropySource:
4th Belgrade Bioinformatics Conference, 2023, 4, 11-11Publisher:
- Belgrade : Institute of molecular genetics and genetic engineering
Note:
- Book of abstract: 4th Belgrade Bioinformatics Conference, June 19-23, 2023
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Institut za molekularnu genetiku i genetičko inženjerstvoTY - CONF AU - Khrennikov, Andrei PY - 2023 UR - https://belbi.bg.ac.rs/ UR - https://imagine.imgge.bg.ac.rs/handle/123456789/1946 AB - Recently the quantum formalism and methodology started to be applied to modeling of information processing in biosystems, mainly to the process of decision making and psychological behavior (but some applications to 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-modeling. In this presentation, we turn to the famous Schrödinger book “What is life?” and reformulate his speculations in terms of this theory. Schrödinger pointed out to order preservation as one of the main distinguishing features of biosystems. Entropy has the tendency to increase (Second Law of Thermodynamics for isolated classical systems and dissipation in open classical and quantum systems). Schrödinger emphasized the ability of biosystems to beat this tendency. We demonstrate that systems processing information in the quantumlike 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. Such quantum entropy dynamics is illustrated by graphs obtained via numerical simulation for quantum master equation. For simplicity of modelling we consider only quantum Markov dynamics. But the real dynamics of biosystems’ states is non-Markovean. PB - Belgrade : Institute of molecular genetics and genetic engineering C3 - 4th Belgrade Bioinformatics Conference T1 - What is life?’’: Open quantum systems approach EP - 11 SP - 11 VL - 4 UR - https://hdl.handle.net/21.15107/rcub_imagine_1946 ER -
@conference{ author = "Khrennikov, Andrei", year = "2023", abstract = "Recently the quantum formalism and methodology started to be applied to modeling of information processing in biosystems, mainly to the process of decision making and psychological behavior (but some applications to 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-modeling. In this presentation, we turn to the famous Schrödinger book “What is life?” and reformulate his speculations in terms of this theory. Schrödinger pointed out to order preservation as one of the main distinguishing features of biosystems. Entropy has the tendency to increase (Second Law of Thermodynamics for isolated classical systems and dissipation in open classical and quantum systems). Schrödinger emphasized the ability of biosystems to beat this tendency. We demonstrate that systems processing information in the quantumlike 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. Such quantum entropy dynamics is illustrated by graphs obtained via numerical simulation for quantum master equation. For simplicity of modelling we consider only quantum Markov dynamics. But the real dynamics of biosystems’ states is non-Markovean.", publisher = "Belgrade : Institute of molecular genetics and genetic engineering", journal = "4th Belgrade Bioinformatics Conference", title = "What is life?’’: Open quantum systems approach", pages = "11-11", volume = "4", url = "https://hdl.handle.net/21.15107/rcub_imagine_1946" }
Khrennikov, A.. (2023). What is life?’’: Open quantum systems approach. in 4th Belgrade Bioinformatics Conference Belgrade : Institute of molecular genetics and genetic engineering., 4, 11-11. https://hdl.handle.net/21.15107/rcub_imagine_1946
Khrennikov A. What is life?’’: Open quantum systems approach. in 4th Belgrade Bioinformatics Conference. 2023;4:11-11. https://hdl.handle.net/21.15107/rcub_imagine_1946 .
Khrennikov, Andrei, "What is life?’’: Open quantum systems approach" in 4th Belgrade Bioinformatics Conference, 4 (2023):11-11, https://hdl.handle.net/21.15107/rcub_imagine_1946 .