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Springer eBooks

Epigenetic Evolution and Theory of Open Quantum Systems: Unifying Lamarckism and Darwinism

Masanari Asano, Andrei Yu. Khrennikov, Masanori Ohya, Yoshiharu Tanaka, Ichiro Yamato

Published Jan 1, 2015• 0 citations
Publisher
DOI
10.1007/978-94-017-9819-8_8

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A model of epigenetic evolution based on theory of open quantum systems

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Towards modeling of epigenetic evolution with the aid of theory of open quantum systems

Masanari Asano, Irina Basieva, Andrei Yu. Khrennikov +3 more

We apply theory of open quantum systems to modeling of epigenetic evolution. This is an attempt to unify Darwinian and Lamarckian viewpoints on evolution on the basis of a quantum-like model. The state of uncertainty of cell's epigenome is resolved to a stable and inherited epigenetic configuration. This process of evolution and stabilization is described by the quantum master equation (the Gorini-Kossakowski-Sudarshan-Lindblad equation). The initial state of epigenome starting interaction with a new environment is represented as a pure quantum state. It evolves to a steady state solution of the quantum master equation given by a diagonal density matrix. The latter represents the state resulting from a series of epimutations induced by the environment. We use the information interpretation of the wave function which was elaborated by C. Fuchs and A. Zeilinger.

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El “darwinismo cuántico” de Zurek y su extrapolación a la evolución de los sistemas adaptativos

Eugenio Andrade

Zurek’s “quantum Darwinism” and its translation into the evolution of adaptive systems In this work I justify a scheme that favors a non-reductive integration between physical and biological approaches based on the notion of information as interpretation. I start with a discussion on the cross fertilization and feedbacks between physics and biology for it helps to explain Maxwells demon metaphor as a forerunner of a notion of information applicable to the problem of biological adaptation that is best conceived today as information gathering and using systems (IGUS) in the sense of Zurek. It is shown how IGUS by means of measurements generate informative correlations between micro-states (genotype) and macro-states (phenotype), and between macro-states (phenotype) and environment. I further examine Zureks decoherence theory dubbed “quantum Darwinism” according to which the environment eliminates most of the superpositions of quantum systems leaving only a set of preferred states, among which are chosen those that are in fact realized in the classical world. In this view IGUS are equated to non-conscious agents of quantum measurement, a posture that modifies Copenhagen interpretation without falling into the difficulties of the “many worlds” interpretation. I, thus, propose that in order to tackle the problem of biological adaptation, it would be important to understand information as IGUS’ interpretative activity thought as physical and/or biological systems that actualize an organizing potential in accordance to an “internal model” of systems environment interactions, so that they interpret physical perturbations as informative signals that orient structural adjustments to be adopted and the actions that are projected to the external milieu. To end up I show how this model may serve to account for the origin of adaptive mutations in bacteria and to formally describe developing epigenetic systems. In this way the classical debate between Lamarckian and Darwinian schools must be reframed and perhaps superseded as the new scheme of interpretation is validated with more experimental evidence. To conclude I argue that semiosis is the clue to justify the deep analogy that allows to establishing bidirectional bridges between physical and biological models of adaptive evolution. key words. Quantum Darwinism, Neo-Lamarckism, natural selection, information, IGUS, adaptation, coherence, superposition, entanglement, sign, observer, measurement, ci Copenhagen interpretation, many worlds interpretation, epigenetics.

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Quantum Lamarckism: observation, control and decoherence

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Abstract The purpose of this article, which is our contribution to Wolfgang Schleich’s Festschrift, is to present an unconventional perspective of two fundamental, interrelated problems: the emergence of classicality and the observer’s role in quantum mechanics. In our perspective, the decoherence of quantum states of a system or its measuring device (meter) by the environment cannot replace the role of the observer, nor can it provide the ultimate explanation of the transition of the system from quantumness to classicality. The reason is that decoherence, despite appearances, typically does not irretrievably obliterate the information on the system’s state. Even in cases where the environment has the potential of erasing this information, the observer can negate decoherence effects in the meter or the system by dynamical control. We contend that the choice of measuring bases and observables is largely up to the controller-observer (CO) that need not possess unlimited resources in order to steer or freeze ( at will ) the system-state evolution and its quantumness, notwithstanding the environment effects. An analogy is drawn between the outlined approach and Lamarckism, the theory of evolution that preceded Darwinism. Quantum Lamarckism expresses our view of evolution as functional adaptation of the system to the interplay between environmental and CO effects . In our view, both conceptually and practically, decoherence may be deemed non-essential for determining the evolution of a quantum system embedded in its environment, provided the CO has an adequate, albeit limited, arsenal of resources.

Physica Scripta•Sep 28, 2018•1 citation

Quantum Darwinism and entropy

Erkki Brändas

Advances in quantum chemistry•Jan 1, 2022•6 citations
We apply theory of open quantum systems to modeling of epigenetic evolution. This is an attempt to unify Darwinian and Lamarckian viewpoints on evolution on the basis of a quantum-like model. The state of uncertainty of cell's epigenome is resolved to a stable and inherited epigenetic configuration. This process of evolution and stabilization is described by the quantum master equation (the Gorini-Kossakowski-Sudarshan-Lindblad equation). The initial state of epigenome starting interaction with a new environment is represented as a pure quantum state. It evolves to a steady state solution of the quantum master equation given by a diagonal density matrix. The latter represents the state resulting from a series of epimutations induced by the environment. We use the information interpretation of the wave function which was elaborated by C. Fuchs and A. Zeilinger.
Zurek’s “quantum Darwinism” and its translation into the evolution of adaptive systems In this work I justify a scheme that favors a non-reductive integration between physical and biological approaches based on the notion of information as interpretation. I start with a discussion on the cross fertilization and feedbacks between physics and biology for it helps to explain Maxwells demon metaphor as a forerunner of a notion of information applicable to the problem of biological adaptation that is best conceived today as information gathering and using systems (IGUS) in the sense of Zurek. It is shown how IGUS by means of measurements generate informative correlations between micro-states (genotype) and macro-states (phenotype), and between macro-states (phenotype) and environment. I further examine Zureks decoherence theory dubbed “quantum Darwinism” according to which the environment eliminates most of the superpositions of quantum systems leaving only a set of preferred states, among which are chosen those that are in fact realized in the classical world. In this view IGUS are equated to non-conscious agents of quantum measurement, a posture that modifies Copenhagen interpretation without falling into the difficulties of the “many worlds” interpretation. I, thus, propose that in order to tackle the problem of biological adaptation, it would be important to understand information as IGUS’ interpretative activity thought as physical and/or biological systems that actualize an organizing potential in accordance to an “internal model” of systems environment interactions, so that they interpret physical perturbations as informative signals that orient structural adjustments to be adopted and the actions that are projected to the external milieu. To end up I show how this model may serve to account for the origin of adaptive mutations in bacteria and to formally describe developing epigenetic systems. In this way the classical debate between Lamarckian and Darwinian schools must be reframed and perhaps superseded as the new scheme of interpretation is validated with more experimental evidence. To conclude I argue that semiosis is the clue to justify the deep analogy that allows to establishing bidirectional bridges between physical and biological models of adaptive evolution. key words. Quantum Darwinism, Neo-Lamarckism, natural selection, information, IGUS, adaptation, coherence, superposition, entanglement, sign, observer, measurement, ci Copenhagen interpretation, many worlds interpretation, epigenetics.
Abstract The purpose of this article, which is our contribution to Wolfgang Schleich’s Festschrift, is to present an unconventional perspective of two fundamental, interrelated problems: the emergence of classicality and the observer’s role in quantum mechanics. In our perspective, the decoherence of quantum states of a system or its measuring device (meter) by the environment cannot replace the role of the observer, nor can it provide the ultimate explanation of the transition of the system from quantumness to classicality. The reason is that decoherence, despite appearances, typically does not irretrievably obliterate the information on the system’s state. Even in cases where the environment has the potential of erasing this information, the observer can negate decoherence effects in the meter or the system by dynamical control. We contend that the choice of measuring bases and observables is largely up to the controller-observer (CO) that need not possess unlimited resources in order to steer or freeze ( at will ) the system-state evolution and its quantumness, notwithstanding the environment effects. An analogy is drawn between the outlined approach and Lamarckism, the theory of evolution that preceded Darwinism. Quantum Lamarckism expresses our view of evolution as functional adaptation of the system to the interplay between environmental and CO effects . In our view, both conceptually and practically, decoherence may be deemed non-essential for determining the evolution of a quantum system embedded in its environment, provided the CO has an adequate, albeit limited, arsenal of resources.