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arXiv quant-ph/0502173quant-ph
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非平稳相互作用下耦合量子比特的时间最优控制

Time Optimal Control of Coupled Qubits Under Non-Stationary Interactions

Haidong Yuan, Navin Khaneja

摘要:

本文给出了在一般时变耦合张量存在下,自旋为1/2的耦合系统在给定时间内所能合成的所有幺正变换的完整刻画。我们的处理是相当普遍的,我们的结果有助于刻画在任何时候都具有时变漂移和无界控制幅值的双线性控制系统的可达集。这些结果是几何控制理论的基本兴趣,并在固态NMR光谱耦合自旋控制的应用。

英文摘要:

In this article, we give a complete characterization of all the unitary transformations that can be synthesized in a given time for a system of coupled spin-1/2 in presence of general time varying coupling tensor. Our treatment is quite general and our results help to characterize the reachable set at all times for a class of bilinear control systems with time varying drift and unbounded control amplitude. These results are of fundamental interest in geometric control theory and have applications to control of coupled spins in solid state NMR spectroscopy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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