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Asano, M., Basieva, I., Khrennikov, A. & Yamato, I. (2017). A model of differentiation in quantum bioinformatics. Progress in Biophysics and Molecular Biology, 130, 88-98
Open this publication in new window or tab >>A model of differentiation in quantum bioinformatics
2017 (English)In: Progress in Biophysics and Molecular Biology, ISSN 0079-6107, E-ISSN 1873-1732, Vol. 130, p. 88-98Article, review/survey (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2017
Keywords
Differentiation, Quantum-like approach, Decoherence process
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-70576 (URN)10.1016/j.pbiomolbio.2017.05.013 (DOI)000423002900010 ()28579516 (PubMedID)2-s2.0-85020315005 (Scopus ID)
Available from: 2018-02-07 Created: 2018-02-07 Last updated: 2019-08-29Bibliographically approved
Asano, M., Basieva, I., Khrennikov, A., Ohya, M. & Tanaka, Y. (2017). A quantum-like model of selection behavior. Journal of mathematical psychology (Print), 78, 2-12
Open this publication in new window or tab >>A quantum-like model of selection behavior
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2017 (English)In: Journal of mathematical psychology (Print), ISSN 0022-2496, E-ISSN 1096-0880, Vol. 78, p. 2-12Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2017
Keywords
Prospect theory, Ellsberg paradox, Machina paradox, WTA and WTP, Quantum-like approach
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-66896 (URN)10.1016/j.jmp.2016.07.006 (DOI)000403636800002 ()2-s2.0-84994236287 (Scopus ID)
Available from: 2017-07-12 Created: 2017-07-12 Last updated: 2019-09-06Bibliographically approved
Basieva, I. & Khrennikov, A. (2017). Decision-making and cognition modeling from the theory of mental instruments. In: Emmanuel Haven, Andrei Khrennikov (Ed.), The Palgrave Handbook of Quantum Models in Social Science: Applications and Grand Challenges (pp. 75-93). Palgrave Macmillan
Open this publication in new window or tab >>Decision-making and cognition modeling from the theory of mental instruments
2017 (English)In: The Palgrave Handbook of Quantum Models in Social Science: Applications and Grand Challenges / [ed] Emmanuel Haven, Andrei Khrennikov, Palgrave Macmillan, 2017, p. 75-93Chapter in book (Other academic)
Abstract [en]

The authors present the theory of quantum measurements in a humanities friendly way. The most general process of decision-making is represented with the aid of the formalism of quantum apparatuses and instruments. This measurement formalism generalizes the standard one based on the von Neumann–Lüders projection postulate. Generalized quantum observables are mathematically represented as positive operator valued measures (POVMs) and state transformers resulting from the feedback of measurements to the states of systems that are given by quantum instruments. The quantum scheme of indirect measurements (a special realization of quantum instruments) is applied to model decision-making as resulting from the interaction between the belief and decision states. The authors analyze the specific features of quantum instruments which are important for cognitive and social applications. In particular, the state transformers given by quantum instruments are in general less invasive than the state projections. Thus quantum-like decision-making need not be viewed as a kind of state collapse.

Place, publisher, year, edition, pages
Palgrave Macmillan, 2017
National Category
Computational Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
urn:nbn:se:lnu:diva-64653 (URN)10.1057/978-1-137-49276-0_5 (DOI)2-s2.0-85018979919 (Scopus ID)9781137492760 (ISBN)9781137492753 (ISBN)
Available from: 2017-06-02 Created: 2017-06-02 Last updated: 2018-05-16Bibliographically approved
Basieva, I., Pothos, E., Trueblood, J., Khrennikov, A. & Busemeyer, J. (2017). Quantum probability updating from zero priors (by-passing Cromwell's rule). Journal of mathematical psychology (Print), 77, 58-69
Open this publication in new window or tab >>Quantum probability updating from zero priors (by-passing Cromwell's rule)
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2017 (English)In: Journal of mathematical psychology (Print), ISSN 0022-2496, E-ISSN 1096-0880, Vol. 77, p. 58-69Article in journal (Refereed) Published
Abstract [en]

Cromwell's rule (also known as the zero priors paradox) refers to the constraint of classical probability theory that if one assigns a prior probability of 0 or 1 to a hypothesis, then the posterior has to be 0 or 1 as well (this is a straightforward implication of how Bayes' rule works). Relatedly, hypotheses with a very low prior cannot be updated to have a very high posterior without a tremendous amount of new evidence to support them (or to make other possibilities highly improbable). Cromwell's rule appears at odds with our intuition of how humans update probabilities. In this work, we report two simple decision making experiments, which seem to be inconsistent with Cromwell's rule. Quantum probability theory, the rules for how to assign probabilities from the mathematical formalism of quantum mechanics, provides an alternative framework for probabilistic inference. An advantage of quantum probability theory is that it is not subject to Cromwell's rule and it can accommodate changes from zero or very small priors to significant posteriors. We outline a model of decision making, based on quantum theory, which can accommodate the changes from priors to posteriors, observed in our experiments. (C) 2016 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
Elsevier, 2017
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-64306 (URN)10.1016/j.jmp.2016.08.005 (DOI)000399066900006 ()2-s2.0-85001889577 (Scopus ID)
Available from: 2017-05-24 Created: 2017-05-24 Last updated: 2019-09-06Bibliographically approved
Basieva, I. & Khrennikov, A. (2017). Testing Boundaries of Applicability of Quantum Probabilistic Formalism to Modeling of Cognition: Metaphors of Two and Three Slit Experiments. In: DeBarros, JA; Coecke, B; Pothos, E (Ed.), QUANTUM INTERACTION, QI 2016: . Paper presented at "Quantum Interaction", 10th International Conference, QI 2016, San Francisco, CA, USA, July 20-22, 2016 (pp. 49-56). Springer
Open this publication in new window or tab >>Testing Boundaries of Applicability of Quantum Probabilistic Formalism to Modeling of Cognition: Metaphors of Two and Three Slit Experiments
2017 (English)In: QUANTUM INTERACTION, QI 2016 / [ed] DeBarros, JA; Coecke, B; Pothos, E, Springer, 2017, p. 49-56Conference paper, Published paper (Refereed)
Abstract [en]

Analogy between the two slit experiment in quantum mechanics (QM) and the disjunction effect in psychology led to fruitful applications of the mathematical formalism of quantum probability to cognitive psychology. These quantum-like studies demonstrated that quantum probability (QP) matches better with the experimental statistical data than classical probability (CP). Similar conclusion can be derived from comparing QP and CP models for a variety of other cognitive-psychological effects, e.g., the order effect. However, one may wonder whether QP covers completely cognitive-psychological phenomena or cognition exhibits even more exotic probabilistic features and we have to use probabilistic models with even higher degree of nonclassicality than quantum probability. It is surprising that already a cognitive analog of the triple slit experiment in QM can be used to check this problem.

Place, publisher, year, edition, pages
Springer, 2017
Series
Lecture Notes in Computer Science, ISSN 0302-9743, E-ISSN 1611-3349 ; 10106
Keywords
Two and three slit experiments, Sorkin equality, Probabilistic structure of cognition
National Category
Other Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-62500 (URN)10.1007/978-3-319-52289-0_4 (DOI)000418792100004 ()2-s2.0-85011966046 (Scopus ID)978-3-319-52288-3 (ISBN)978-3-319-52289-0 (ISBN)
Conference
"Quantum Interaction", 10th International Conference, QI 2016, San Francisco, CA, USA, July 20-22, 2016
Available from: 2017-04-18 Created: 2017-04-18 Last updated: 2019-08-29Bibliographically approved
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y. & Yamato, I. (2016). Quantum Information Biology. In: Ehtibar Dzhafarov, Scott Jordan, Ru Zhang, Victor Cervantes (Ed.), Contextuality from Quantum Physics to Psychology: (pp. 399-413). World Scientific
Open this publication in new window or tab >>Quantum Information Biology
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2016 (English)In: Contextuality from Quantum Physics to Psychology / [ed] Ehtibar Dzhafarov, Scott Jordan, Ru Zhang, Victor Cervantes, World Scientific, 2016, p. 399-413Chapter in book (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
World Scientific, 2016
Series
Advanced Series on Mathematical Psychology ; 6
National Category
Other Physics Topics
Identifiers
urn:nbn:se:lnu:diva-51792 (URN)10.1142/9789814730617_0018 (DOI)2-s2.0-85018962605 (Scopus ID)978-981-4730-62-4 (ISBN)978-981-4730-60-0 (ISBN)
Available from: 2016-03-31 Created: 2016-03-31 Last updated: 2019-08-15Bibliographically approved
Basieva, I. & Khrennikov, A. (2015). On the Possibility to Combine the Order Effect with Sequential Reproducibility for Quantum Measurements. Foundations of physics, 45(10), 1379-1393
Open this publication in new window or tab >>On the Possibility to Combine the Order Effect with Sequential Reproducibility for Quantum Measurements
2015 (English)In: Foundations of physics, ISSN 0015-9018, E-ISSN 1572-9516, Vol. 45, no 10, p. 1379-1393Article in journal (Refereed) Published
Abstract [en]

In this paper we study the problem of a possibility to use quantum observables to describe a possible combination of the order effect with sequential reproducibility for quantum measurements. By the order effect we mean a dependence of probability distributions (of measurement results) on the order of measurements. We consider two types of the sequential reproducibility: adjacent reproducibility () (the standard perfect repeatability) and separated reproducibility(). The first one is reproducibility with probability 1 of a result of measurement of some observable A measured twice, one A measurement after the other. The second one, , is reproducibility with probability 1 of a result of A measurement when another quantum observable B is measured between two A's. Heuristically, it is clear that the second type of reproducibility is complementary to the order effect. We show that, surprisingly, this may not be the case. The order effect can coexist with a separated reproducibility as well as adjacent reproducibility for both observables A and B. However, the additional constraint in the form of separated reproducibility of the type makes this coexistence impossible. The problem under consideration was motivated by attempts to apply the quantum formalism outside of physics, especially, in cognitive psychology and psychophysics. However, it is also important for foundations of quantum physics as a part of the problem about the structure of sequential quantum measurements.

Keywords
Order effect, Repeatability, Quantum-like models, POVMs in cognitive science
National Category
Mathematics Physical Sciences
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-46896 (URN)10.1007/s10701-015-9932-3 (DOI)000361898600015 ()2-s2.0-84942503859 (Scopus ID)
Available from: 2015-10-26 Created: 2015-10-26 Last updated: 2018-05-16Bibliographically approved
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y. & Yamato, I. (2015). Quantum Information Biology: From Information Interpretation of Quantum Mechanics to Applications in Molecular Biology and Cognitive Psychology. Foundations of physics, 45(10), 1362-1378
Open this publication in new window or tab >>Quantum Information Biology: From Information Interpretation of Quantum Mechanics to Applications in Molecular Biology and Cognitive Psychology
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2015 (English)In: Foundations of physics, ISSN 0015-9018, E-ISSN 1572-9516, Vol. 45, no 10, p. 1362-1378Article in journal (Refereed) Published
Abstract [en]

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.

Keywords
Quantum biological information, Quantum adaptive dynamics, Open quantum systems, Information interpretation, QBism, Molecular biology, Genetics, Cognition
National Category
Mathematics Physical Sciences
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-46895 (URN)10.1007/s10701-015-9929-y (DOI)000361898600014 ()2-s2.0-84942428627 (Scopus ID)
Available from: 2015-10-26 Created: 2015-10-26 Last updated: 2018-05-16Bibliographically approved
Khrennikov, A. & Basieva, I. (2015). Quantum(-Like) Decision Making: On Validity of the Aumann Theorem. In: Harald Atmanspacher, Claudia Bergomi, Thomas Filk, Kirsty Kitto (Ed.), Quantum Interaction (QI 2014): . Paper presented at 8th International Conference, QI 2014, Filzbach, Switzerland, June 30-July 3, 2014. Revised Selected Papers (pp. 105-118). Springer
Open this publication in new window or tab >>Quantum(-Like) Decision Making: On Validity of the Aumann Theorem
2015 (English)In: Quantum Interaction (QI 2014) / [ed] Harald Atmanspacher, Claudia Bergomi, Thomas Filk, Kirsty Kitto, Springer, 2015, p. 105-118Conference paper, Published paper (Refereed)
Abstract [en]

Through set-theoretic formalization of the notion of common knowledge, Aumann proved that if two agents have the common priors, and their posteriors for a given event are common knowledge, then their posteriors must be equal. In this paper we investigate the problem of validity of this theorem in the framework of quantum(-like) decision making.

Place, publisher, year, edition, pages
Springer, 2015
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 8951
Keywords
Aumann theorem, Quantum(-like) decision making, Common knowledge
National Category
Computer Sciences
Identifiers
urn:nbn:se:lnu:diva-42192 (URN)10.1007/978-3-319-15931-7_9 (DOI)000355731900009 ()2-s2.0-84923626562 (Scopus ID)978-3-319-15930-0 (ISBN)
Conference
8th International Conference, QI 2014, Filzbach, Switzerland, June 30-July 3, 2014. Revised Selected Papers
Available from: 2015-04-13 Created: 2015-04-13 Last updated: 2018-05-16Bibliographically approved
Basieva, I. & Khrennikov, A. (2015). Quantum(-like) Formalization of Common Knowledge: Binmore-Brandenburger Operator Approach. In: Harald Atmanspacher, Claudia Bergomi , Thomas Filk, Kirsty Kitto (Ed.), Quantum Interaction (QI 2014): 8th International Conference, QI 2014, Filzbach, Switzerland, June 30 - July 3, 2014. Revised Selected Papers. Paper presented at 8th International Conference, QI 2014, Filzbach, Switzerland, June 30 - July 3, 2014. (pp. 93-104). Springer, 8951
Open this publication in new window or tab >>Quantum(-like) Formalization of Common Knowledge: Binmore-Brandenburger Operator Approach
2015 (English)In: Quantum Interaction (QI 2014): 8th International Conference, QI 2014, Filzbach, Switzerland, June 30 - July 3, 2014. Revised Selected Papers / [ed] Harald Atmanspacher, Claudia Bergomi , Thomas Filk, Kirsty Kitto, Springer, 2015, Vol. 8951, p. 93-104Conference paper, Published paper (Refereed)
Abstract [en]

We present the detailed account of the quantum(-like) viewpoint to common knowledge. The Binmore-Brandenburger operator approach to the notion of common knowledge is extended to the quantum case. We develop a special quantum(-like) model of common knowledge based on information representations of agents which can be operationally represented by Hermitian operators. For simplicity, we assume that each agent constructs her/his information representation by using just one operator. However, different agents use in general representations based on noncommuting operators, i.e., incompatible representations. The quantum analog of basic system of common knowledge features K1 - K5 is derived.

Place, publisher, year, edition, pages
Springer, 2015
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 8951
Keywords
Common knowledge, Binmore-Brandenburger operator approach, Quantum(-like) decision making
National Category
Computer Vision and Robotics (Autonomous Systems) Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-41535 (URN)10.1007/978-3-319-15931-7_8 (DOI)000355731900008 ()2-s2.0-84923567631 (Scopus ID)978-3-319-15930-0 (ISBN)
Conference
8th International Conference, QI 2014, Filzbach, Switzerland, June 30 - July 3, 2014.
Projects
Mathematical Modeling
Available from: 2015-04-01 Created: 2015-04-01 Last updated: 2018-05-16Bibliographically approved
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0003-2396-6193

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