Quasi-Probability and Probability Representations of Quantum States—100 Years of Quantum Mechanics

Dear Colleagues,

In spite of the great progress made in developing quantum technologies, the basic notions of quantum problems discussed in physics chemistry, information, and other areas of science need to be better explained. This Special Issue aims to collect papers addressing the problems of understanding the meaning of notions of physical system states and physical observables.

The basic notions are dramatically different from human intuition derived from daily life experience. The quantum notions about position and momentum were regarded as quantum operators, and quantum states were described by complex wave functions. They are useful tools in classical mechanics and are even more important in quantum mechanics. From the period of quantum mechanics (QM) development, people have been trying to describe them in terms closer to classical science notions.

This practice was initiated by Wigner, who introduced quasi-probability distributions in 1932, and continued throughout the century of the development and application of quantum mechanics (QM). During this century, other representations of quantum states were proposed in search of the most classical representation, and a commonly used probability distribution function describing the quantum system state was recently discovered.

The development of all possible representations of quantum states, including the study of equations describing the quantum evolution of system states and the relationships of the developed representations, the description of quantum phenomena such as entanglement, uncertainty relationships, and quantum thermodynamics, as well as the fundamental problems discussed in the previous three volumes, are all considered in this new Special Issue. 

Prof. Dr. Vladimir I. Manko
Guest Editor

Manuscript Submission Information

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• Quantum Mechanics and Its Foundations in Entropy (10 articles)
• Quantum Mechanics and Its Foundations II in Entropy (15 articles)
• Quantum Mechanics and Its Foundations III in Entropy (13 articles)