**Editors: Giacomo Mauro D'Ariano and Andrei Khrennikov **

The quantum information revolution has renewed interest in the foundations of quantum theory. “Information” is the new paradigm reflecting the main character of modern human society as an information society. The tremendous development of information technologies over the last twenty years has dramatically changed our lifestyle through the world-wide web of the Internet and the mobile-connectivity web that led to the creation of virtual social networks. New quantum information technologies (quantum cryptography, quantum computing, quantum simulators and networks) have added a new step forward for the information evolution of mankind. This theme issue is based on the contributions of a group of top experts in quantum foundations, and quantum information and probability. It enlightens a number of interpretational, mathematical and experimental problems of quantum theory, such as QBism and Copenhagen interpretation, information reconstruction of quantum mechanics, Hopf algebra symmetries, quantum-like modelling of cognition and decision making, causality, locality, the role of Higgs boson discovery for quantum foundations, quantum randomness in light of the principle of plenitude, quantum dynamical systems, entropy, counterfactuals and non-events, geometric phase and Kitaev chains.

*Cover image: Courtesy of Philippe Haven*

## Read

This issue is available to read online, including the Introduction which is free to access.

**Don't have access?**

If you would like to recommend this journal to your Librarian please fill out this form or contact sales@royalsociety.org

## Buy

This issue is available to buy in print.

We offer discounts for bulk orders of the print version of this journal issue for educational use (£20 per copy for 10 or more). Please contact our sales team for more information.

## Also of interest

**Related issues**

- Quantum probability and the mathematical modelling of decision making
- Quantum-coherent energy transfer: Implications for biology and new energy technologies
- PT quantum mechanics
- Partial differential equation models in the socio-economic sciences

**Read more content from all our journals on:**

*Philosophical Transactions A * publishes themed journal issues on topics of current scientific importance and general interest within the physical, mathematical and engineering sciences, edited by leading authorities and comprising original research, reviews and opinions from prominent researchers. To browse all our recent issues please see our previous issues page.

## New content

REGISTER for table of contents email alerts to see the latest content published in Royal Society journals

## Propose an issue

Find out more about guest editing a theme issue of *Philosophical Transactions A* from our Guest Editor information page.

## About the Guest Editors

**Giacomo Mauro D’Ariano** is a professor at Pavia University, where he teaches Quantum Mechanics and Foundations of Quantum Theory, and leads the group QUIT. Fellow of the American Physical Society and of the Optical Society of America, member of the Academy Istituto Lombardo of Scienze e Lettere, of the Center for Photonic Communication and Computing at Northwestern IL, and of the Foundational Questions Institute (FQXi), D’Ariano has started Quantum Information in Italy, contributing with his group to the advancement of the field by initiating and developing the tomographic methods for quantum states and transformations, introducing new types of measurements and processing, including optimal phase-cloning and broadcasting, along with new optimization methods for quantum measurements, protocols, and algorithms, most relevantly the quantum comb method. He has pioneered the quantum information paradigm in the study of quantum foundations, coauthoring the derivation of quantum theory from informational principles, and more recently that of quantum field theory.

**Andrei Khrennikov** was born in 1958 in Volgograd and spent his childhood in Bratsk, in Siberia, north from the lake Baikal. In the period 1975-1980 he studied at Moscow State University, department of Mechanics and Mathematics and then in 1983 he got PhD in mathematical physics (quantum field theory) from the same department. He started his career abroad at Bochum University and since 1997 he is professor of applied mathematics at Linnaueus University, South-East Sweden, since 2002, the director of the multidisciplinary research center at this university, International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science. The research interests of Prof Khrennikov are also characterized by multi-disciplnarity, e.g., foundations of quantum physics and quantum information, foundations of probability, mathematical modeling of cognition. He is the author of about 450 papers and 18 monographs.