The present wave of interest in quantum foundations is caused by the tremendous development of quantum information science and its applications to quantum computing and quantum communication. Nowadays, this interest has increased even more because it has become clear that some of the difficulties encountered in realizations of quantum information processing (especially creation of quantum computers and designing of new quantum algorithms) are not simply technicalities but have roots at the very fundamental level. To solve such problems, quantum theory has to be reconsidered. The present book is devoted to the analysis of the probabilistic structure of quantum theory and probes the limits of classical probabilistic representation of quantum phenomena.
About the Author:
Andrei Khrennikov was born in 1958 in Volgorad (former Stalingrad) and spent his childhood in town 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 teaching and research career at Moscow University for Radio-Electronics and Automatics and in 1990 he became full professor at Moscow University for Electronic Engineering. He started his career abroad at Bochum University, Germany, and since 1997 he is professor of applied mathematics at Linnaueus University (Växjö, 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. Research interests of prof Khrennikov are multidisciplinary: foundations of quantum physics and quantum information, foundations of probability (in particular, studies on negative probabilities), cognitive modeling, ultrametric (non-Archimedean) mathematics, dynamical systems, infinite-dimensional analysis, quantum-like models in psychology, economics and finances. He is the author of about 400 papers and 16 monographs in journals in mathematics, physics, biology, cognitive science, economics, and finances. He is worldwide known as the organizer of the longest series of conferences on quantum foundations in Växjö, this series attracted leading experts, both theoreticians and experimenters, who are interested in probabilistic aspects of quantum information and foundations. Recent years he devoted to creation of the classical random field model of quantum phenomena.
“Beyond Quantum offers an original and fascinating contribution to thecurrent state of the debate concerning quantum foundations. The book will be of much interest and benefit to physicists and philosophers alike. It will be an occasion for thought and a stimulant for pursing new work, which, as the book makes abundantly clear, is still much needed in this field, a century of debates and controversies notwithstanding. A very welcome advance!”
~Prof. Arkady Plotnitsky, Purdue University, and author of Epistemology and Probability
“In this volume Professor Khrennikov employs his deep knowledge of probability theory and long experience in applying it to a wide variety of problems and circumstances, to propose a theory that goes beyond quantum mechanics. In line with the Einsteinian credo that particles are a manifestation of fields, the author transforms quantum mechanics into a classical statistical theory of (prequantum) random fields. Such fundamental viewpoint resolves several of the problems that beset the usual interpretations of quantum mechanics, and affords new and interesting theoretical avenues for further enquiry. The result is a highly stimulating and original perspective of the quantum world.”
~Prof. Luis de la Peña Auerbach, Instituto de Física, UNAM, Mexico