Zobrazeno 1 - 10
of 340
pro vyhledávání: '"Smolyanov, O."'
Publikováno v:
Doklady Akademii Nauk, 2015, Vol. 465, No. 6, pp. 651-655; (English transl. Doklady Mathematics, 2015, Vol. 92, No. 3, pp. 764-768)
This papers deals with connections between quantum anomalies and transformations of Feynman pseudo-measures. Mathematical objects related to the notion of the volume element in an infinite-dimensional space considered in the physics literature are co
Externí odkaz:
http://arxiv.org/abs/1601.02195
Publikováno v:
Dolklady Akademii Nauk, Vol. 461, No. 5, pp. 503-508 (2015), Tanslation Doklady Math. Vol 91, No. 5, pp. 199-203 (2015)
We study several examples from quantum control theory in the framework of Wigner functions and measures for infinite dimensional open quantum systems. An axiomatic definition of coherent quantum feedback is proposed within this setting.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/1505.01877
Publikováno v:
J. Math. Phys. 56, 022108 (2015)
Noether's Theorem on constants of the motion of dynamical systems has recently been extended to classical dissipative systems (Markovian semi-groups) by Baez and Fong. We show how to extend these results to the fully quantum setting of quantum Markov
Externí odkaz:
http://arxiv.org/abs/1410.7711
Publikováno v:
Doklady Akademii Nauka, 454, No. 4 pp. 379-382 (2014)
This paper discusses several methods for describing the dynamics of open quantum systems, where the environment of the open system is infinite-dimensional. These are purifications, phase space forms, master equation and liouville equation forms. The
Externí odkaz:
http://arxiv.org/abs/1403.7172
Publikováno v:
Izv.Math.69:1081-1098,2005
In this paper, we consider stochastic Schroedinger equations with two-dimensional white noise. Such equations are used to describe the evolution of an open quantum system undergoing a process of continuous measurement. Representations are obtained fo
Externí odkaz:
http://arxiv.org/abs/1006.0640
Autor:
Smolyanov, O. G., Truman, A.
The mathematical theory of quantum feedback networks has recently been developed by Gough and James \cite{QFN1} for general open quantum dynamical systems interacting with bosonic input fields. In this article we show, that their feedback reduction f
Externí odkaz:
http://arxiv.org/abs/1005.5644
Publikováno v:
J. Opt. B: Quantum Semiclass. Opt. 7 S237-S244 (2005)
We exploit the separation of the filtering and control aspects of quantum feedback control to consider the optimal control as a classical stochastic problem on the space of quantum states. We derive the corresponding Hamilton-Jacobi-Bellman equations
Externí odkaz:
http://arxiv.org/abs/quant-ph/0502155
Let (S(t)) be a one-parameter family S = (S(t)) of positive integral operators on a locally compact space L. For a possibly non-uniform partition of [0,1] define a measure on the path space C([0,1],L) by using a) S(dt) for the transition between cose
Externí odkaz:
http://arxiv.org/abs/math/0409155
Let H(1), H(2) be complex Hilbert spaces, H be their Hilbert tensor product and let tr2 be the operator of taking the partial trace of trace class operators in H with respect to the space H(2). The operation tr2 maps states in H (i.e. positive trace
Externí odkaz:
http://arxiv.org/abs/math-ph/0012025
Autor:
Kozlov, V. V.1 (AUTHOR) kozlov@pran.ru, Smolyanov, O. G.2 (AUTHOR) smolyanov@yandex.ru
Publikováno v:
Doklady Mathematics. Nov2021, Vol. 104 Issue 3, p365-368. 4p.