Zobrazeno 1 - 10
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pro vyhledávání: '"L. A. Markovich"'
Autor:
V. I. Man’ko, L. A. Markovich
Publikováno v:
Advances in Mathematical Physics, Vol 2015 (2015)
The q-deformed entropies of quantum and classical systems are discussed. Standard and q-deformed entropic inequalities for X-states of the two-qubit system and the state of single qudit with j=3/2 are presented.
Externí odkaz:
https://doaj.org/article/66a45dc871c648a489586845b7e2f5a1
Autor:
L. A. Markovich
Publikováno v:
Journal of Mathematical Sciences. 254:550-573
We consider the nonparametric estimation of the multivariate probability density function and its partial derivative with a support on nonnegative axis by dependent data. We use the class of kernel estimators with asymmetric gamma kernel functions. T
Autor:
Vladimir I. Man’ko, L. A. Markovich
Publikováno v:
AIP Conference Proceedings.
Autor:
L. A. Markovich, Vladimir I. Man’ko
Publikováno v:
Theoretical and Mathematical Physics. 197:1677-1689
We consider tomograms and quasidistributions, such as the Wigner functions, the Glauber–Sudarshan P-functions, and the Husimi Q-functions, that violate the standard normalization condition for probability distribution functions. We introduce specia
Autor:
L. A. Markovich, Vladimir I. Man’ko
Publikováno v:
IEEE Transactions on Information Theory. 64:4784-4791
The aim of this paper is to give an interpretation of the linear or nonlinear filtration problem as a quantization problem. Based on this, we extend the optimal filtering equation known from the Stratonovich filtering theory on the quantum process ca
Autor:
Vladimir I. Man’ko, L. A. Markovich
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 197:328-342
Autor:
L. A. Markovich, Vladimir I. Man’ko
Publikováno v:
Lobachevskii Journal of Mathematics. 38:699-708
Using the entropic inequalities for Shannon and Tsallis entropies new inequalities for some classical polynomials are obtained. To this end, an invertible mapping for the irreducible unitary representation of groups SU(2) and SU(1, 1) like Jacoby pol
Autor:
Vladimir I. Man’ko, L. A. Markovich
Publikováno v:
Russian physics journal. 2017. Vol. 59, № 11. P. 1937-1941
We consider the entropy-energy inequality for a three-level atom implemented on superconducting circuits with the Josephson junction. It is suggested to use the positivity of the relative entropy of the qutritquantum system for verification of tomogr
Autor:
L. A. Markovich, Vladimir I. Man’ko
Publikováno v:
Entropy, Vol 21, Iss 9, p 870 (2019)
Entropy
Volume 21
Issue 9
Entropy
Volume 21
Issue 9
This paper proposes an alternative geometric representation of single qudit states based on probability simplexes to describe the quantum properties of noncomposite systems. In contrast to the known high dimension pictures, we present the planar pict
Autor:
L. A. Markovich, Vladimir I. Man’ko
Publikováno v:
Journal of Mathematical Physics. 61:102102
An application of a quantizer–dequantizer method as a unifying description for representations of states in quantum mechanics is considered. Well-known quasi-distributions and tomograms are rewritten in terms of the dequantizer and quantizer operat