Zobrazeno 1 - 10
of 2 808
pro vyhledávání: '"Amosov IS"'
Publikováno v:
Lobachevskii J. Math., 42:10 (2021), 2280-2284
We consider error correction, based on the theory of non-commutative graphs, for a model of a qubit interacting with quantum oscillator. The dynamics of the composite system is governed by the Schr\"odinger equation which generates positive operator-
Externí odkaz:
http://arxiv.org/abs/2403.06733
Autor:
Amosov, Grigori
We study mixed unitary channels generated by finite subgroups of the group of all unitary operators in a Hilbert space. Based on the majorization theory we introduce techniques allowing to calculate different characteristics of output states of chann
Externí odkaz:
http://arxiv.org/abs/2401.05104
Publikováno v:
Quantum Information Processing 22, Article 401 (2023)
In this work, we show the ability to restore states of quantum systems from evolution induced by quantum dynamical semigroups perturbed by covariant measures. Our procedure describes reconstruction of quantum states transmitted via quantum channels a
Externí odkaz:
http://arxiv.org/abs/2312.01094
Autor:
Amosov, Grigori
We study positive operator-valued measures generated by orbits of projective unitary representations of locally compact Abelian groups. It is shown that integration over such a measure defines a family of contractions being multiples of unitary opera
Externí odkaz:
http://arxiv.org/abs/2301.12492
Autor:
Amosov, Grigori
Publikováno v:
Quantum Inf Process 21, 312 (2022)
We introduce positive operator-valued measure (POVM) generated by the projective unitary representation of a direct product of locally compact Abelian group $G$ with its dual $\hat G$. The method is based upon the Pontryagin duality allowing to estab
Externí odkaz:
http://arxiv.org/abs/2209.03703
Autor:
Shichalin, O.O., Shi, Yun, Vornovskikh, A.A., Kornakova, Z.E., Amosov, A.V., Belov, A.A., Seroshtan, A.I., Ivanov, N.P., Marmaza, P.A., Buravlev, I. Yu, Starev, D.S., Kosyanov, D.Yu, Papynov, E.K.
Publikováno v:
In Optical Materials November 2024 157 Part 2
Autor:
Amosov, Grigori
Publikováno v:
Phys. Lett. A, 431 (2022), 128002, 7 pp
We introduce quantum tomography on locally compact Abelian groups $G$. A linear map from the set of quantum states on the $C^*$-algebra $A(G)$ generated by the projective unitary representation of $G$ to the space of characteristic functions is const
Externí odkaz:
http://arxiv.org/abs/2201.06049
Publikováno v:
Phys. Rev. A, 103:4, 042407 (2021)
Quantum error correction plays a key role for quantum information transmission and quantum computing. In this work, we develop and apply the theory of non-commutative operator graphs to study error correction in the case of a finite-dimensional quant
Externí odkaz:
http://arxiv.org/abs/2104.11937
Autor:
Amosov, Grigori
Publikováno v:
Quantum Information Processing 21, Article No 81 (2022)
We study mixed unitary quantum channels generated by irreducible projective unitary representations of finite groups. Under some assumptions on the probability distribution determining a mixture the classical capacity of the channel is found. Example
Externí odkaz:
http://arxiv.org/abs/2103.08515
Autor:
Amosov, G. G.
Publikováno v:
Analysis and Mathematical Physics 11:27 (2021)
We consider perturbations of dynamical semigroups on the algebra of all bounded operators in a Hilbert space generated by covariant completely positive measures on the semi-axis. The construction is based upon unbounded linear perturbations of genera
Externí odkaz:
http://arxiv.org/abs/2101.01656