Quantum-like model of subjective expected utility

I Basieva, P Khrennikova, EM Pothos, M Asano… - Journal of Mathematical …, 2018 - Elsevier
We present a very general quantum-like model of lottery selection based on representation
of beliefs of an agent by pure quantum states. Subjective probabilities are mathematically …

[HTML][HTML] Contextuality and indistinguishability

JA De Barros, F Holik, D Krause - Entropy, 2017 - mdpi.com
It is well known that in quantum mechanics we cannot always define consistently properties
that are context independent. Many approaches exist to describe contextual properties, such …

[HTML][HTML] Indistinguishability and negative probabilities

JA de Barros, F Holik - Entropy, 2020 - mdpi.com
In this paper, we examined the connection between quantum systems' indistinguishability
and signed (or negative) probabilities. We do so by first introducing a measure-theoretic …

[HTML][HTML] A little bit of classical magic to achieve (super-) quantum speedup

D Kaszlikowski, P Kurzyński - Foundations of Physics, 2021 - Springer
We introduce nebit, a classical bit with a signed probability distribution. We study its
properties and basic transformations that can be applied to it. Then, we introduce a simple …

Indistinguishability and the origins of contextuality in physics

JA de Barros, F Holik, D Krause - … Transactions of the …, 2019 - royalsocietypublishing.org
In this work, we discuss a formal way of dealing with the properties of contextual systems.
Our approach is to assume that properties describing the same physical quantity, but …

[HTML][HTML] Nonclassical joint distributions and Bell measurements

E Masa, L Ares, A Luis - Physics Letters A, 2020 - Elsevier
Derivation and experimental violation of Bell-like inequalities involve the measurement of
incompatible observables. Simple complementarity forbids the existence of such joint …

Fractional derivatives and negative probabilities

JT Machado - Communications in Nonlinear Science and Numerical …, 2019 - Elsevier
This paper addresses the theories of Fractional Calculus and Negative Probabilities. The
fundamental concepts are discussed and a number of analogies are established between …

Quantum measurement theory for systems with finite dimensional state spaces

M Ozawa - The Quantum-Like Revolution: A Festschrift for Andrei …, 2023 - Springer
In this chapter, we present a general theory of finite quantum measurements, for which we
assume that the state space of the measured system is a finite dimensional Hilbert space …

[HTML][HTML] The violation of Bell-CHSH inequalities leads to different conclusions depending on the description used

AFG Solis-Labastida, M Gastelum, JG Hirsch - Entropy, 2021 - mdpi.com
Since the experimental observation of the violation of the Bell-CHSH inequalities, much has
been said about the non-local and contextual character of the underlying system. However …

[HTML][HTML] Inequalities for complementarity in observed statistics

E Masa, L Ares, A Luis - Physics Letters A, 2022 - Elsevier
We provide an analysis of complementarity via a suitably designed classical model that
leads to a set of inequalities that can be tested by means of unsharp measurements. We …