Vladimir I. Man’ko

TL;DR: In this article, an explicit expression for the transition probability distribution for the classical propagator in terms of path integral is derived, and the evolution equation in the Bargmann representation of the optical tomography approach is obtained.

TL;DR: In this article, the existence of SIC-POVMs is studied in terms of symbols of operators associated with a star-product quantization scheme, and the relation between the SIC probability representation and other probability representations is established, the connection with mutually unbiased bases is discussed, and comments to the Lie algebraic structure of POVMs are presented.

TL;DR: In this paper, the center-of-mass tomographic propagators for the quantum evolution equation of multipartite systems in the center of mass probability representation are introduced. And the properties of these propagators and their relation to the Green function of Schr\"odinger equation and propagator of Moyal evolution equation are studied.

TL;DR: In this article, the authors describe quantum interference in terms of density operators only using a formulated composition law for pure-state density operators in order to retain the relative phases in quantum mechanics.

TL;DR: In this paper, the qubit-portraits of qudit states are considered in more details in order to characterize the presence of quantum correlations in bipartite qudit state.