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- W1863664832 abstract "Any quantum device interacts with an environment and the resulting noise is a main obstacle in the implementation of bold ideas of quantum computation and large-scale quantum communication. The purpose of these notes is to present a general formalism based on the first principles of Hamiltonian models which can be used to describe mathematically and estimate numerically the influence of an environmental noise on quantum devices controlled by time-dependent external forces. We call them controlled quantum open systems (CQOS). The main idea is to eliminate the degrees of freedom of the environment and use approximative expressions for the reduced dynamics of the quantum system (device)[1]. The main problem is related to the existence of multiple time scales in such models which make the reduced dynamics very complicated [2–4]. Therefore, we restrict ourselves to several regimes of the parameters which allow the tractable description. We begin with the discussion of Markovian approximation for the case of time-independent controlling Hamiltonians which leads to the formalism of completely positive quantum dynamical semigroups with Lindblad–Gorini-Kossakowski–Sudarshan (LGKS) generators [5–9]." @default.
- W1863664832 created "2016-06-24" @default.
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- W1863664832 date "2009-09-11" @default.
- W1863664832 modified "2023-09-27" @default.
- W1863664832 title "Quantum Open Systems with Time-Dependent Control" @default.
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- W1863664832 doi "https://doi.org/10.1007/978-3-642-02871-7_3" @default.
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