Search Results - "Markovich, L A"
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1
The fertile marriage between the two Glauber parity and displacement operators
Published in Physica scripta (01-07-2020)“…The origin and the properties of the Hermitian displacement-parity operator as well as the consequent implications are investigated. This operator is defined…”
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2
Deformed Entropic and Information Inequalities for X-States of Two-Qubit and Single Qudit States
Published in Advances in mathematical physics (01-01-2015)“…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…”
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3
Nonparametric Estimation of Multivariate Density and its Derivative by Dependent Data Using Gamma Kernels
Published in Journal of mathematical sciences (New York, N.Y.) (01-04-2021)“…We consider the nonparametric estimation of the multivariate probability density function and its partial derivative with a support on nonnegative axis by…”
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4
Separability and Entanglement in the Hilbert Space Reference Frames Related Through the Generic Unitary Transform for Four Level System
Published in International journal of theoretical physics (01-05-2018)“…Quantum correlations in the state of four-level atom are investigated by using generic unitary transforms of the classical (diagonal) density matrix. Partial…”
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5
Unnormalized Tomograms and Quasidistributions of Quantum States
Published in Theoretical and mathematical physics (01-11-2018)“…We consider tomograms and quasidistributions, such as the Wigner functions, the Glauber–Sudarshan P-functions, and the Husimi Q-functions, that violate the…”
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6
Entropic inequalities for matrix elements of rotation group irreducible representations
Published in Lobachevskii journal of mathematics (01-07-2017)“…Using the entropic inequalities for Shannon and Tsallis entropies new inequalities for some classical polynomials are obtained. To this end, an invertible…”
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7
Entropy-Energy Inequality for a Qutrit on the Example of a Three-Level Atom
Published in Russian physics journal (01-03-2017)“…We consider the entropy-energy inequality for a three-level atom implemented on superconducting circuits with the Josephson junction. It is suggested to use…”
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8
Separability and Entanglement of the Qudit X-State with j = 3/2
Published in Journal of Russian laser research (01-09-2014)“…We study the qudit state with spin j = 3 / 2 and the density matrix of the form corresponding to the X state of two qubits and consider the entanglement and…”
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9
Hermitian and unitary almost-companion matrices of polynomials on demand
Published 18-01-2023“…We introduce the concept of Almost-Companion Matrix (ACM) by relaxing the non-derogatory property of the standard Companion Matrix (CM). That is, we define an…”
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10
Entropic Inequalities and Properties of Some Special Functions
Published in Journal of Russian laser research (01-03-2014)“…Using known entropic and information inequalities, we obtain new inequalities for some classical polynomials. We consider examples of Jacobi and Legendre…”
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11
New Inequalities for Quantum Von Neumann and Tomographic Mutual Information
Published in Journal of Russian laser research (01-07-2014)“…We study the entropic inequalities related to the quantum mutual information for bipartite system and tomographic mutual information for the Werner state of…”
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12
Optimal nonlinear filtering of quantum state
Published 29-06-2018“…IEEE Transactions on Information Theory, 2018 We extend the optimal filtering equation known from the Stratonovich filtering theory on the quantum process…”
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13
The equation of optimal filtering, Kalman's filter and Theorem on normal correlation
Published 10-07-2014“…An important objective of the classical processing of stationary random sequences under nonparametric uncertainty is the problem of filtering in case when the…”
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14
An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations
Published 25-10-2017“…Annals of Physics 385 (2017) 522-531 A novel recipe for exactly solving in finite terms a class of special differential Riccati equations is reported. Our…”
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15
Separability and entanglement in the Hilbert space reference frames related through the generic unitary transform for four level system
Published 21-05-2017“…Quantum correlations in the state of four-level atom are investigated by using generic unitary transforms of the classical (diagonal) density matrix. Partial…”
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16
Steering in spin tomographic probability representation
Published 14-05-2015“…The steering property known for two qubit-state in terms of specific inequalities for correlation function is translated for the state of qudit with the spin…”
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17
Deformed entropic and information inequalities for X - states of two-qubit and single qudit states
Published 06-10-2014“…The q-deformed entropies of quantum and classical systems are discussed. Standard and q-deformed entropic inequalities for X - states of the two-qubit and a…”
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18
New Minkowski type inequalities and entropic inequalities for quantum states of qudits
Published 01-09-2014“…The two-parameter Minkowski like inequality written for composite quantum system state is obtained for arbitrary Hermitian nonnegative matrix with trace equal…”
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19
Gamma kernel estimation of the density derivative on the positive semi-axis by dependent data
Published in Revstat (01-06-2016)“…* We estimate the derivative of a probability density function defined on [0, [infinity]). For this purpose, we choose the class of kernel estimators with…”
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20
An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations
Published in Annals of physics (01-10-2017)“…A novel recipe for exactly solving in finite terms a class of special differential Riccati equations is reported. Our procedure is entirely based on a…”
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