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

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

2007-08-28

arxiv.org/abs/0708.3794v1

Physical review A 76, 023419 (2007)

Physics

Quantum Physics

25 pages, 10 figures

Scientific paper

10.1103/PhysRevA.76.023419

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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