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arXiv quant-ph/0408138quant-ph
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通过间接测量的概率量子控制

Probabilistic Quantum Control Via Indirect Measurement

A. Mandilara, J. W. Clark

摘要:

量子控制的最基本方案涉及通过幺正变换对系统的纯动力学状态进行有组织的操纵。最近,Vilela Mendes和Mank'o证明了,如果酉控制操作可以通过投影测量来补充,则状态空间上的可控性条件变得不那么严格。本工作建立在这个想法,引入间接测量的附加元素,以实现一种遥控。要被遥控的目标系统首先与另一个相同的系统纠缠在一起,称为控制系统。然后,控制系统进行酉变换加上投影测量。正如薛定谔所预期的那样,这种通过纠缠进行的控制本质上必然是概率性的。另一方面,在适当的条件下,远程控制的情况下提供了特殊的优势,对退相干和更大的剧目的酉变换的鲁棒性。对一个两能级系统的仿真表明,通过优化控制参数,可以实现可达状态种群的大幅增长。

英文摘要:

The most basic scenario of quantum control involves the organized manipulation of pure dynamical states of the system by means of unitary transformations. Recently, Vilela Mendes and Mank'o have shown that the conditions for controllability on the state space become less restrictive if unitary control operations may be supplemented by projective measurement. The present work builds on this idea, introducing the additional element of indirect measurement to achieve a kind of remote control. The target system that is to be remotely controlled is first entangled with another identical system, called the control system. The control system is then subjected to unitary transformations plus projective measurement. As anticipated by Schrodinger, such control via entanglement is necessarily probabilistic in nature. On the other hand, under appropriate conditions the remote-control scenario offers the special advantages of robustness against decoherence and a greater repertoire of unitary transformations. Simulations carried out for a two-level system demonstrate that, with optimization of control parameters, a substantial gain in the population of reachable states can be realized.

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