| 1. |
- Accardi, Luigi, et al.
(författare)
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Application of Non-Kolmogorovian Probability and Quantum Adaptive Dynamics to Unconscious Inference in Visual Perception Process
- 2016
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Ingår i: Open systems & information dynamics. - 1230-1612 .- 1573-1324. ; 23:2
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Tidskriftsartikel (refereegranskat)abstract
- Recently a novel quantum information formalism - quantum adaptive dynamics - was developed and applied to modelling of information processing by bio-systems including cognitive phenomena: from molecular biology (glucose-lactose metabolism for E.coli bacteria, epigenetic evolution) to cognition, psychology. From the foundational point of view quantum adaptive dynamics describes mutual adapting of the information states of two interacting systems (physical or biological) as well as adapting of co-observations performed by the systems. In this paper we apply this formalism to model unconscious inference: the process of transition from sensation to perception. The paper combines theory and experiment. Statistical data collected in an experimental study on recognition of a particular ambiguous figure, the Schroer stairs, support the viability of the quantum(-like) model of unconscious inference including modelling of biases generated by rotation-contexts. From the probabilistic point of view, we study (for concrete experimental data) the problem of contextuality of probability, its dependence on experimental contexts. Mathematically contextuality leads to non-Komogorovness: probability distributions generated by various rotation contexts cannot be treated in the Kolmogorovian framework. At the same time they can be embedded in a "big Kolmogorov space" as conditional probabilities. However, such a Kolmogorov space has too complex structure and the operational quantum formalism in the form of quantum adaptive dynamics simplifies the modelling essentially.
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| 2. |
- Adenier, Guillaume, et al.
(författare)
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Test of the no-signaling principle in the Hensen loophole-free CHSH experiment
- 2017
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Ingår i: Fortschritte der Physik. - : Wiley-Blackwell. - 0015-8208 .- 1521-3978. ; 65:9
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Tidskriftsartikel (refereegranskat)abstract
- We analyze the data from the loophole-free CHSH experiment performed by Hensen et al., and show that it is actually not exempt of an important loophole. By increasing the size of the sample of event-ready detections, one can exhibit in the experimental data a violation of the no-signaling principle with a statistical significance at least similar to that of the reported violation of the CHSH inequality, if not stronger. The data from the loophole-free CHSH experiment performed by Hensen et al. are analysed, It is shown that it is actually not exempt of an important loophole. By increasing the size of the sample of event-ready detections, one can exhibit in the experimental data a violation of the no-signaling principle with a statistical significance at least similar to that of the reported violation of the CHSH inequality, if not stronger.
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| 3. |
- Antoniouk, Alexandra, V, et al.
(författare)
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A stochastic p-adic model of the capillary flow in porous random medium
- 2018
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Ingår i: Physica A. - : Elsevier. - 0378-4371 .- 1873-2119. ; 505, s. 763-777
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Tidskriftsartikel (refereegranskat)abstract
- We develop the p-adic model of propagation of fluids (e.g., oil or water) in capillary networks in a porous random medium. The hierarchic structure of a system of capillaries is mathematically modeled by endowing trees of capillaries with the structure of an ultra metric space. Considerations are restricted to the case of idealized networks represented by homogeneous p-trees with p branches leaving each vertex, where p > 1 is a prime number. Such trees are realized as the fields of p-adic numbers. We introduce and study an inhomogeneous Markov process describing the penetration of fluid into a porous random medium. (C) 2018 Elsevier B.V. All rights reserved.
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| 4. |
- Aref’eva, I. Ya., et al.
(författare)
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p-Adic mathematical physics and B. Dragovich research
- 2017
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Ingår i: P-Adic Numbers, Ultrametric Analysis, and Applications. - : Pleiades Publishing. - 2070-0466 .- 2070-0474. ; 9:1, s. 82-85
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Tidskriftsartikel (refereegranskat)abstract
- We present a brief review of some parts of p-adic mathematical physics related to the scientific work of Branko Dragovich on the occasion of his 70th birthday.
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| 5. |
- Asano, Masanari, et al.
(författare)
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A hysteresis effect on optical illusion and non-Kolmogorovian probability theory
- 2017
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Ingår i: White Noise Analysis and Quantum Information. - : World Scientific. - 9789813225459 - 9789813225473 ; , s. 201-213
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Bokkapitel (refereegranskat)abstract
- In this study, we discuss a non-Kolmogorovness of the optical illusion in the human visual perception. We show subjects the ambiguous figure of "Schröeder stair", which has two different meanings [1]. We prepare 11 pictures which are inclined by different angles. The tendency to answer "left side is front" depends on the order of showing those pictures. For a mathematical treatment of such a context dependent phenomena, we propose a non-Kolmogorovian probabilistic model which is based on adaptive dynamics.
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| 6. |
- Asano, Masanari, et al.
(författare)
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A model of differentiation in quantum bioinformatics
- 2017
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Ingår i: Progress in Biophysics and Molecular Biology. - : Elsevier. - 0079-6107 .- 1873-1732. ; 130, s. 88-98
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Forskningsöversikt (refereegranskat)abstract
- Differentiation is a universal process found in various phenomena of nature. As seen in the example of cell differentiation, the creation diversity on individual's character is caused by environmental interactions. In this paper, we try to explain its mechanism, which has been discussed mainly in Biology, by using the formalism of quantum physics. Our approach known as quantum bioinformatics shows that the temporal change of statistical state called decoherence fits to describe non-local phenomena like differentiation. (C) 2017 Elsevier Ltd. All rights reserved.
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| 7. |
- Asano, Masanari, et al.
(författare)
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A quantum-like model of selection behavior
- 2017
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Ingår i: Journal of mathematical psychology (Print). - : Elsevier. - 0022-2496 .- 1096-0880. ; 78, s. 2-12
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Tidskriftsartikel (refereegranskat)abstract
- In this paper, we introduce a new model of selection behavior under risk that describes an essential cognitive process for comparing values of objects and making a selection decision. This model is constructed by the quantum-like approach that employs the state representation specific to quantum theory, which has the mathematical framework beyond the classical probability theory. We show that our quantum approach can clearly explain the famous examples of anomalies for the expected utility theory, the Ellsberg paradox, the Machina paradox and the disparity between WTA and WTP. Further, we point out that our model mathematically specifies the characteristics of the probability weighting function and the value function, which are basic concepts in the prospect theory. (C) 2016 Elsevier Inc. All rights reserved.
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| 8. |
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| 9. |
- Asano, Masanari, et al.
(författare)
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Quantum Information Biology : From Information Interpretation of Quantum Mechanics to Applications in Molecular Biology and Cognitive Psychology
- 2015
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Ingår i: Foundations of physics. - : Springer Science and Business Media LLC. - 0015-9018 .- 1572-9516. ; 45:10, s. 1362-1378
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Tidskriftsartikel (refereegranskat)abstract
- We discuss foundational issues of quantum information biology (QIB)-one of the most successful applications of the quantum formalism outside of physics. QIB provides a multi-scale model of information processing in bio-systems: from proteins and cells to cognitive and social systems. This theory has to be sharply distinguished from "traditional quantum biophysics". The latter is about quantum bio-physical processes, e.g., in cells or brains. QIB models the dynamics of information states of bio-systems. We argue that the information interpretation of quantum mechanics (its various forms were elaborated by Zeilinger and Brukner, Fuchs and Mermin, and D' Ariano) is the most natural interpretation of QIB. Biologically QIB is based on two principles: (a) adaptivity; (b) openness (bio-systems are fundamentally open). These principles are mathematically represented in the framework of a novel formalism- quantum adaptive dynamics which, in particular, contains the standard theory of open quantum systems.
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| 10. |
- Asano, Masanari, et al.
(författare)
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Quantum Information Biology
- 2016
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Ingår i: Contextuality from Quantum Physics to Psychology. - : World Scientific. - 9789814730624 - 9789814730600 ; , s. 399-413
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Bokkapitel (refereegranskat)abstract
- This chapter reviews quantum(-like) information biology (QIB). Here biology is treated widely as even covering cognition and its derivatives: psychology and decision making, sociology, and behavioral economics and finances. QIB provides an integrative description of information processing by bio-systems at all scales of life: from proteins and cells to cognition, ecological and social systems. Mathematically QIB is based on the theory of adaptive quantum systems (which covers also open quantum systems). Ideologically QIB is based on the quantum-like (QL) paradigm: complex bio-systems process information in accordance with the laws of quantum information and probability. This paradigm is supported by plenty of statistical bio-data collected at all bio-scales. QIB reflects the two fundamental principles: a) adaptivity; and, b) openness (bio-systems are fundamentally open). In addition, quantum adaptive dynamics provides the most generally possible mathematical representation of these principles.
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