Zobrazeno 1 - 10
of 1 967
pro vyhledávání: '"Gough, J."'
Autor:
Amini, N. H., Gough, J. E.
Publikováno v:
Open Systems & Information Dynamics 26 (02), 1950004, 2019
We introduce the Lie algebra of super-operators associated with a quantum filter, specifically emerging from the Stratonovich calculus. In classical filtering, the analogue algebra leads to a geometric theory of nonlinear filtering which leads to wel
Externí odkaz:
http://arxiv.org/abs/1804.10575
Autor:
Gough, J. E., Nurdin, H. I.
We consider the class of quantum stochastic evolutions ($SLH$-models) leading to a quantum dynamical semigroup over a fixed quantum mechanical system (taken to be finite-dimensional). We show that if the semigroup is dissipative, that is, the couplin
Externí odkaz:
http://arxiv.org/abs/1710.11133
Publikováno v:
In Clinical Oncology May 2022 34(5):301-312
Autor:
Gough, J. E.
Publikováno v:
J. Math. Phys. 57, 123505 (2016)
We express the rules for forming quantum feedback networks using the Stratonovich form of quantum stochastic calculus rather than the Ito, or SLH form. Remarkably the feedback reduction rule implies that we obtain the Schur complement of the matrix o
Externí odkaz:
http://arxiv.org/abs/1605.02641
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:
Journal of Physics D: Applied Physics; 9/27/2024, Vol. 57 Issue 38, p1-11, 11p
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.
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Externí odkaz:
http://arxiv.org/abs/1505.01877
Autor:
Gough, J. E.
Publikováno v:
J. Math. Phys. 56, 013506 (2015)
We introduce the characteristic operator as the generalization of the usual concept of a transfer function of linear input-plant-output systems to arbitrary quantum nonlinear Markovian input-output models. This is intended as a tool in the characteri
Externí odkaz:
http://arxiv.org/abs/1404.3182
Autor:
Gough, J. E.
Publikováno v:
Russian Journal of Mathematical Physics, 21, Issue 3, pp. 337-347, July (2014)
In this paper we formulate limit Zeno dynamics of general open systems as the adiabatic elimination of fast components. We are able to exploit previous work on adiabatic elimination of quantum stochastic models to give explicitly the conditions under
Externí odkaz:
http://arxiv.org/abs/1404.2454
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