V
Vladimir I. Man’ko
Researcher at Moscow Institute of Physics and Technology
Publications - 680
Citations - 14719
Vladimir I. Man’ko is an academic researcher from Moscow Institute of Physics and Technology. The author has contributed to research in topics: Quantum state & Probability distribution. The author has an hindex of 53, co-authored 665 publications receiving 13825 citations. Previous affiliations of Vladimir I. Man’ko include Lebedev Physical Institute & Tomsk State University.
Papers
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Journal ArticleDOI
Probability representation of optical signals and new entropy of quantum states
TL;DR: In this article, probability distributions associated to classical and quantum optical signals are introduced. And nonlinear evolution equations are discussed in the probability representation for spin states, entropy and information corresponding to spin tomograms are studied.
Book ChapterDOI
The Geometry of Density States, Positive Maps and Tomograms
TL;DR: In this paper, an entanglement and separability of density matrices are expressed in terms of properties of the tomographic joint probability distributions of random spin projections which depend also on unitary group parameters.
Journal ArticleDOI
The wave function of the classical parametric oscillator and the tomographic probability of the oscillator’s state
TL;DR: In this paper, the authors considered a classical parametric oscillator both in the Hilbert space and in the tomographic probability representation, and the time-dependent integrals of motion and Gaussian solutions of the Liouville kinetic equation for the classical-oscillator's tomograms were found in an explicit form.
Journal ArticleDOI
Photon Number and Optical Tomograms for Gaussian States
TL;DR: In this article, a review of probability representation of quantum states in given for optical and photon number tomography approaches is presented, and integral relations connecting Hermite polynomials of two variables with Laguerre polynomial are found.
Journal ArticleDOI
Photon-Number Tomography of Multimode States and Positivity of the Density Matrix
TL;DR: For one-mode and multimode light, the photon-number tomograms of Gaussian quantum states are explicitly calculated in terms of multivariable Hermite polynomials as discussed by the authors.