436 citations · 3.3k across the 186 of their papers we have counts for
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Entangled probability distributions
Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko
Concept of entangled probability distribution of several random variables is introduced. These probability distributions describe multimode quantum states in probability representa…
Symplectic tomographic probability distribution of crystallized Schrödinger cat states
Julio A. López-Saldívar, Vladimir I. Man'ko, Margarita A. Man'ko
Within the framework of the probability representation of quantum mechanics, we study a superposition of generic Gaussian states associated to symmetries of a regular polygon of n…
Differential Parametric Formalism for the Evolution of Gaussian States: Nonunitary Evolution and Invariant States
Julio A. López-Saldívar, Margarita A. Man'ko, Vladimir I. Man'ko
In a differential approach elaborated, we study the evolution of the parameters of Gaussian, mixed, continuous variable density matrices, whose dynamics are given by Hermitian Hami…
Spin kinetic equations in the probability representation of quantum mechanics
Vladimir N. Chernega, Vladimir I. Man'ko
We discuss the possibility to formulate the dynamics of spin states described by the Schrodinger equation for pure states and the von Neumann equation (as well as the GKSL equatio…
Probability representation of photon states and tomography
Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko
We give a review of the tomographic probability representation of quantum mechanics. We present the formalism of quantum states and quantum observables using the formalism of stand…
Star Product Formalism for Probability and Mean Value Representations of Qudits
Peter Adam, Vladimir A. Andreev, Margarita A. Man'ko +2
The quantizer-dequantizer formalism is developed for mean value and probability representation of qubits and qutrits. We derive the star-product kernels providing the possibility t…