We review the method of quantizers and dequantizers to construct an invertible map of the
density operators onto functions including probability distributions and discuss in detail …

We determine the evolving probability representations of several important nonclassical
states of the inverted oscillator by applying the method of integrals of motion for this system …

We derive the probability representation of even and odd cat states of two and three qubits.
These states are even and odd superpositions of spin-1/2 eigenstates corresponding to two …

An application of a quantizer–dequantizer method as a unifying description for
representations of states in quantum mechanics is considered. Well-known quasi …

COHERENT STATES OF A FREE PARTICLE WITH VARYING MASS IN THE PROBABILITY
REPRESENTATION OF QUANTUM MECHANICS 1. Introduction Page 1 Journal of Russian …

The probability distributions describing the two-level system (spin-1/2) states and satisfying
the kinetic equation equivalent to the Schrödinger equation are transformed according to the …

We consider even and odd coherent states (Schrödinger cat states) in the probability
representation of quantum mechanics. The probability representation of the cat states is …

The review of a new probability representation of quantum states is presented, where the
states are described by conventional probability distribution functions. The invertible map of …

A review of the approach where the states of quantum systems are identified with fair
probability distributions is presented. The quantizer–dequantizer operators used to construct …

Using the axiomatic formalism based on completely positive quantum dynamical
semigroups, we describe the dynamics of quantum coherence of an open system consisting …