Inverse Engineering Control in Open Quantum Systems

We propose a scheme for inverse engineering control in open quantum systems. Starting from an undetermined time evolution operator, a time-dependent Hamiltonian is derived in order to guide the system to attain an arbitrary target state at a predefined time. We analyze the fidelity of our control pr...

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Bibliographic Details
Published in:arXiv.org 2013-12
Main Authors: Jing, Jun, Lian-Ao Wu, Sarandy, Marcelo S, J Gonzalo Muga
Format: Article
Language:English
Subjects:
Control systems
Depolarization
Evolution
Markov processes
Noise control
Time dependence
Variations
Online Access:Get full text
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Summary:We propose a scheme for inverse engineering control in open quantum systems. Starting from an undetermined time evolution operator, a time-dependent Hamiltonian is derived in order to guide the system to attain an arbitrary target state at a predefined time. We analyze the fidelity of our control protocol under noise with respect to the stochastic fluctuation of the linear parameters of the Hamiltonian during the time evolution. For a special family of Hamiltonians for two-level systems, we show that the control evolution of the system under noise can be categorized into two standard decohering processes: dephasing and depolarization, for both Markovian and non- Markovian conditions. In particular, we illustrate our formalism by analysing the robustness of the engineered target state.
ISSN:2331-8422
DOI:10.48550/arxiv.1307.0383