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.
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Probability Representation of Quantum Observables and Quantum States
TL;DR: In this article, the authors introduce the probability distributions describing quantum observables in conventional quantum mechanics and clarify their relations to the tomographic probability distribution describing quantum states. And they present quantum channels for qubits in the probability representation.
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Triangle Geometry of the Qubit State in the Probability Representation Expressed in Terms of the Triada of Malevich’s Squares
TL;DR: In this article, the density matrix of the qubit (spin-1/2) state associated with the Bloch sphere was given in the tomographic probability representation onto vertices of a triangle determining Triada of Malevich's squares.
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Properties of Nonnegative Hermitian Matrices and New Entropic Inequalities for Noncomposite Quantum Systems
TL;DR: This work considers the probability distributions, spin (qudit)-state tomograms and density matrices of quantum states, and their information characteristics, from the viewpoints of both well-known purely mathematical features of nonnegative numbers and nonnegative matrices and their physical characteristics, such as entanglement and other quantum correlation phenomena.
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Classical Mechanics Is not the ħ, → 0 Limit of Quantum Mechanics
TL;DR: In this paper, the role of different transformations of reference frames in the phase space of classical and quantum systems (scaling and rotation) determining the admissibility of tomograms is investigated.
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Phase space distributions and a duality symmetry for star products
TL;DR: In this article, a duality property for star products is established and a non-commutative algebra of operator symbols which are positive definite probability distributions is found. And the kernel of the star product is established in explicit form and examples are considered.