Open Systems, Quantum Probability, and Logic for Quantum-like Modeling in Biology, Cognition, and Decision-Making

A Khrennikov - Entropy, 2023 - mdpi.com
The aim of this review is to highlight the possibility of applying the mathematical formalism
and methodology of quantum theory to model behavior of complex biosystems, from …

Application of theory of quantum instruments to psychology: Combination of question order effect with response replicability effect

M Ozawa, A Khrennikov - Entropy, 2019 - mdpi.com
Recently, quantum formalism started to be actively used outside of quantum physics: in
psychology, decision-making, economics, finances, and social science. Human …

Experimental characterization of qutrits using symmetric informationally complete positive operator-valued measurements

ZED Medendorp, FA Torres-Ruiz, LK Shalm… - Physical Review A …, 2011 - APS
Generalized quantum measurements [also known as positive operator-valued measures
(POVMs)] are of great importance in quantum information and quantum foundations but are …

[图书][B] Open quantum systems in biology, cognitive and social sciences

AY Khrennikov - 2023 - books.google.com
This book mathematically analyzes the basic problems of biology, decision making and
psychology within the framework of the theory of open quantum systems. In recent years …

Higher-order interference in extensions of quantum theory

CM Lee, JH Selby - Foundations of Physics, 2017 - Springer
Quantum interference, manifest in the two slit experiment, lies at the heart of several
quantum computational speed-ups and provides a striking example of a quantum …

Generalised phase kick-back: the structure of computational algorithms from physical principles

CM Lee, JH Selby - New Journal of Physics, 2016 - iopscience.iop.org
The advent of quantum computing has challenged classical conceptions of which problems
are efficiently solvable in our physical world. This motivates the general study of how …

Schwinger's picture of quantum mechanics III: The statistical interpretation

FM Ciaglia, A Ibort, G Marmo - International Journal of Geometric …, 2019 - World Scientific
Schwinger's algebra of selective measurements has a natural interpretation in the formalism
of groupoids. Its kinematical foundations, as well as the structure of the algebra of …

Obtaining tight bounds on higher-order interferences with a 5-path interferometer

T Kauten, R Keil, T Kaufmann, B Pressl… - New Journal of …, 2017 - iopscience.iop.org
Within the established theoretical framework of quantum mechanics, interference always
occurs between pairs of paths through an interferometer. Higher order interferences with …

Thermodynamics and the structure of quantum theory

M Krumm, H Barnum, J Barrett… - New Journal of …, 2017 - iopscience.iop.org
Despite its enormous empirical success, the formalism of quantum theory still raises
fundamental questions: why is nature described in terms of complex Hilbert spaces, and …

Leggett-Garg tests for macrorealism: Interference experiments and the simple harmonic oscillator

JJ Halliwell, A Bhatnagar, E Ireland, H Nadeem… - Physical Review A, 2021 - APS
Leggett-Garg (LG) tests for macrorealism were originally designed to explore quantum
coherence on the macroscopic scale. Interference experiments and systems modeled by …