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pro vyhledávání: '"Rastegin, Alexey E."'
Autor:
Rastegin, Alexey E.
Publikováno v:
Physics of Fluids, Vol. 36, 074119 (2024)
The current study formulates a convective model of the Lorenz type near the temperature of maximum density. The existence of this temperature actualizes water dynamics in temperate lakes. There is a conceptual interest what this feature induces in Lo
Externí odkaz:
http://arxiv.org/abs/2410.07187
Autor:
Rastegin, Alexey E.
Publikováno v:
Annals of Physics, Vol. 470, 169785 (2024)
The current study aims to examine uncertainty relations for measurements from generalized equiangular tight frames. Informationally overcomplete measurements are a valuable tool in quantum information processing, including tomography and state estima
Externí odkaz:
http://arxiv.org/abs/2405.19900
Autor:
Rastegin, Alexey E.
Entropic uncertainty relations are interesting in their own rights as well as for a lot of applications. Keeping this in mind, we try to make the corresponding inequalities as tight as possible. The use of parametrized entropies also allows one to im
Externí odkaz:
http://arxiv.org/abs/2305.18005
Autor:
Rastegin, Alexey E.
Publikováno v:
Physica A, Vol. 629, 129208 (2023)
An issue which has attracted increasing attention in contemporary researches are Kirkwood--Dirac quasiprobabilities. List of their use includes many questions of quantum physics. Applications of complex tight frames in quantum information science wer
Externí odkaz:
http://arxiv.org/abs/2304.14038
Autor:
Rastegin, Alexey E.
Publikováno v:
Proc. R. Soc. A, Vol. 479, 20220546 (2023)
Finite tight frames are interesting in various topics including questions of quantum information. Each complex tight frame leads to a resolution of the identity in the Hilbert space. Symmetric informationally complete measurements are a special class
Externí odkaz:
http://arxiv.org/abs/2112.12375
Publikováno v:
Quantum Information Processing, Vol. 21, 158 (2022)
We examine how amplitude noise in queries to the oracle degrades a performance of quantum search algorithm. The Grover search and similar techniques are widely used in various quantum algorithms, including cases where rival parties are fighting over
Externí odkaz:
http://arxiv.org/abs/2111.14333
Autor:
Rastegin, Alexey E.
Information entropies give a genuine way to characterize quantitatively an incompatibility in quantum measurements. Together with the Shannon entropy, few families of parametrized entropies have found use in various questions. It is also known that a
Externí odkaz:
http://arxiv.org/abs/2107.14162
Autor:
Rastegin, Alexey E.
Publikováno v:
J. Phys.: Conf. Ser., Vol. 1847, 012044 (2021)
The concept of quantum coherence and its possible use as a resource are currently the subject of active researches. Uncertainty and complementarity relations for quantum coherence allow one to study its changes with respect to other characteristics o
Externí odkaz:
http://arxiv.org/abs/2103.17145
Autor:
Rastegin, Alexey E.
Publikováno v:
SIAM Journal on Applied Mathematics, Vol. 82, Issue 3, pp. 1001-1019 (2022)
Complementarity relations between various characterizations of a probability distribution are at the core of information theory. In particular, lower and upper bounds for the entropic function are of great importance. In applied topics, we often deal
Externí odkaz:
http://arxiv.org/abs/2009.13187
Autor:
Rastegin, Alexey E.
Publikováno v:
J. Phys. A: Math. Theor., Vol. 53, 405301 (2020)
Information entropies provide powerful and flexible way to express restrictions imposed by the uncertainty principle. This approach seems to be very suitable in application to problems of quantum information theory. It is typical that questions of su
Externí odkaz:
http://arxiv.org/abs/2004.05576