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Quantum mechanics has been subject to logical scrutiny since its inception. The behavior of quantum systems, which are fundamentally dissimilar from classical systems, often appears to point to a logical inconsistency in quantum mechanics,…

Mathematical Physics · Physics 2026-04-01 Felipe Dilho Alves , João Carlos Alves Barata

In this paper we discuss quantum-like decision-making experiments using negative probabilities. We do so by showing how the two-slit experiment, in the simplified version of the Mach-Zehnder interferometer, can be described by this…

Data Analysis, Statistics and Probability · Physics 2015-06-19 J. Acacio de Barros , Gary Oas

We present the mathematical model of decision making (DM) of agents acting in a complex and uncertain environment (combining huge variety of economical, financial, behavioral, and geo-political factors). To describe interaction of agents…

Mathematical Physics · Physics 2017-10-25 F. Bagarello , A. Khrennikov , E. Haven

Recent high-precision experimental confirmations of quantum complementarity have revitalized foundational debates about measurement, description, and realism. This article argues that complementarity is most productively interpreted as an…

Neurons and Cognition · Quantitative Biology 2026-01-23 Lalit Kumar Shukla

Lately, so-called "quantum" models, based on parts of the mathematics of quantum mechanics, have been developed in decision theory and cognitive sciences to account for seemingly irrational or paradoxical human judgments. We consider here…

Neurons and Cognition · Quantitative Biology 2016-03-08 Thomas Boyer-Kassem , Sébastien Duchêne , Éric Guerci

AI and ML models have already found many applications in critical domains, such as healthcare and criminal justice. However, fully automating such high-stakes applications can raise ethical or fairness concerns. Instead, in such cases,…

Artificial Intelligence · Computer Science 2023-04-28 Ioannis Papantonis , Vaishak Belle

The incorporation of quantum ansatz with machine learning classification models demonstrates the ability to extract patterns from data for classification tasks. However, taking advantage of the enhanced computational power of quantum…

Quantum Physics · Physics 2024-11-13 Arpita Ghosh , MD Muhtasim Fuad , Seemanta Bhattacharjee

Quantum-mechanical models of human cognition, opinion formation and decision-making have changed the way we understand and predict human behaviour in many practical situations, including political elections, financial decisions and…

Physics and Society · Physics 2024-01-30 Ivan S. Maksymov

I criticize the widely-defended view that the quantum measurement problem is an example of underdetermination of theory by evidence: more specifically, the view that the unmodified, unitary quantum formalism (interpreted following Everett)…

Quantum Physics · Physics 2022-05-03 David Wallace

There are many examples of human decision making which cannot be modeled by classical probabilistic and logic models, on which the current AI systems are based. Hence the need for a modeling framework which can enable intelligent systems to…

Artificial Intelligence · Computer Science 2018-08-15 Sagar Uprety , Dawei Song

Ambiguity-averse decision makers typically dislike not only the presence of ambiguous events but also their increase, contrary to what standard ambiguity models predict. We axiomatically study such a decision maker. She avoids ex ante…

Theoretical Economics · Economics 2026-05-25 Yutaro Akita , Kensei Nakamura

The deterministic nature of EQM (the Everett Interpretation of Quantum Mechanics) seems to be inconsistent to the use of probability in EQM, giving rise to what is known as the "incoherence problem". In this paper, I explore approaches to…

Quantum Physics · Physics 2023-09-26 Zhonghao Lu

We discuss the role that intuitive theories of physics play in the interpretation of quantum mechanics. We compare and contrast na\"ive physics with quantum mechanics and argue that quantum mechanics is not just hard to understand but that…

Quantum Physics · Physics 2016-02-24 Andrew Sid Lang , Caleb J Lutz

We present a quantum-like (QL) model in that contexts (complexes of e.g. mental, social, biological, economic or even political conditions) are represented by complex probability amplitudes. This approach gives the possibility to apply the…

General Physics · Physics 2016-11-23 Andrei Khrennikov

The purpose of this paper is to report on the most recent developments in our ongoing investigation of the representation and manipulation of uncertainty in automated reasoning systems. In our earlier studies (Tong and Shapiro, 1985) we…

Artificial Intelligence · Computer Science 2013-04-12 Richard M. Tong , Lee A. Appelbaum , D. G. Shapiro

The influence of additional information on the decision making of agents, who are interacting members of a society, is analyzed within the mathematical framework based on the use of quantum probabilities. The introduction of social…

Physics and Society · Physics 2015-10-14 V. I. Yukalov , D. Sornette

We propose the use of the hypothetical retrospection argumentation procedure, developed by Sven Ove Hansson to improve existing approaches to machine ethical reasoning by accounting for probability and uncertainty from a position of…

Artificial Intelligence · Computer Science 2023-07-13 Simon Kolker , Louise Dennis , Ramon Fraga Pereira , Mengwei Xu

A quantum probability model is introduced and used to explain human probability judgment errors including the conjunction, disjunction, inverse, and conditional fallacies, as well as unpacking effects and partitioning effects. Quantum…

General Physics · Physics 2009-09-16 Jerome R. Busemeyer , Riccardo Franco , Emmanuel M. Pothos

The mathematical model of orthodox quantum mechanics has been critically examined and some deficiencies have been summarized. The model based on the extended Hilbert space and free of these shortages has been proposed; parameters being…

Quantum Physics · Physics 2016-08-16 Miloš V. Lokajíček

This paper investigates a purely qualitative version of Savage's theory for decision making under uncertainty. Until now, most representation theorems for preference over acts rely on a numerical representation of utility and uncertainty…

Artificial Intelligence · Computer Science 2013-01-30 Helene Fargier , Patrice Perny
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