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Trapped Ion Quantum Computing

Time-optimal control of a two-level dissipative quantum system

arXiv

Authors: D. Sugny, C. Kontz, H. R. Jauslin

Year

2007

Paper ID

49239

Status

Preprint

Abstract Read

~2 min

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Abstract

We propose an analysis of the time-optimal control of a dissipative two-level quantum system whose dynamics is governed by the Lindblad equation. This simple system allows one to use tools of geometric control theory and to construct its optimal synthesis, i.e. to determine the set of all the optimal trajectories starting from a given initial point. We study different processes such as conversion of a pure state into a mixed state and purification of a mixed state. In particular cases, we show that dissipation is not undesirable and can help accelerating the control.

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We propose an analysis of the time-optimal control of a dissipative two-level quantum system whose dynamics is governed by the Lindblad equation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0708.3794 [2] arXiv https://arxiv.org/abs/0708.3794 [3] Publisher https://arxiv.org/abs/0708.3794

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