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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Symmetric informationally complete positive operator valued measure and probability representation of quantum mechanics
TL;DR: In this paper, 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 on the Lie algebraic structure of POVMs are presented.
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On the tomographic picture of quantum mechanics
TL;DR: In this paper, necessary and sufficient conditions for a symplectic tomogram of a quantum state to determine the density state were formulated and a connection between the (re)construction by means of symplectic Tomograms with the construction by means Naimark positive definite functions on the Weyl-Heisenberg group was established.
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Tomography in Abstract Hilbert Spaces
TL;DR: In this article, a tomographic description of a quantum state is formulated in an abstract infinite-dimensional Hilbert space framework, the space of the Hilbert-Schmidt linear operators, with trace formula as scalar product.
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Semigroup of positive maps for qudit states and entanglement in tomographic probability representation
TL;DR: In this paper, a semigroup with dense intersection with the Lie groups for qudit states was shown to be a positive map of the density matrix of a qudit state.
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Different realizations of tomographic principle in quantum state measurement
TL;DR: In this paper, a general principle for the tomographic approach to quantum state reconstruction, based on a simple rotation transformation in the phase space, is established, which allows us to consider other types of transformations.