Geometric Optimal Control of Simple Quantum Systems

Sugny, Dominique

doi:10.1002/9781118135242.ch3

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2016

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“…In the past decades, much interests have grown around quantum control theory . Different control tasks have been analyzed for quantum systems , such as optimal control , robust control , parameter estimation , and so on. Transferring the state of the quantum system to a desired final state is the typical aim in quantum control by means of maximizing the expecting probability of the target state .…”

Section: Introductionmentioning

confidence: 99%

Quantum state transfer control based on the optimal measurement

Harraz

Yang

et al. 2016

Optim Control Appl Methods

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Summary This paper explores the optimal control of quantum state transfer in a two‐dimensional quantum system by a sequence of non‐selective projection measurements. We show that for a given initial state, one can always find the corresponding projection operator that can effectively drive the given initial state to any arbitrary target pure state. An external control field is proposed to compensate the effect of the free evolution of system. Numerical simulations and characteristics analysis are given in three cases: without considering free evolution, considering free evolution, and with the action of external control field. The simulating experimental results show that the optimal measurement control is more effective by using proposed external control field. Copyright © 2016 John Wiley & Sons, Ltd.

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