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Title: Modeling behavior of decision makers with the aid of algebra of qubit creation-annihilation operators
Authors: Khrennikova, Polina
First Published: 19-Nov-2016
Publisher: Elsevier, Society for Mathematical Psychology
Citation: Journal of Mathematical Psychology, 2017, 78, pp. 76-85 (10)
Abstract: We present a general model of the process of decision making based on the representation of the basic behavioral variables with the aid of an algebra of qubit creation–annihilation operators, adopted from the quantum information theory. In contrast to the genuine quantum physical systems, which are divided into either bosons or fermions and modeled with the aid of operators, satisfying canonical commutation or anti-commutation relations, decision makers preferences for possible actions are constructed with the aid of operators satisfying the so-called qubit commutation relations. Systems described by operators, satisfying such commutation relations, combine the features of bosons and fermions. Thus, one of the basic consequences of the presented model is that decision makers mimic the combined bosonic–fermionic behavior. By using the algebra of qubit creation–annihilation operators, we proceed with the construction of the concrete operators, describing the process of decision making. In particular, the generators of the quantum Markov dynamics, which is used for modeling human decision making process, are expressed as polynomials of the qubit creation–annihilation operators. The devised coefficients have a natural cognitive and social meaning.
DOI Link: 10.1016/
ISSN: 0022-2496
eISSN: 1096-0880
Embargo on file until: 19-Nov-2018
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2016, Elsevier, Society for Mathematical Psychology. Deposited with reference to the publisher’s open access archiving policy.
Description: The file associated with this record is under embargo until 24 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
Appears in Collections:Published Articles, School of Management

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