量子系统的控制极限：可观测量优化的运动学界限和动力学可实现性问题
Limits of control for quantum systems: kinematical bounds on the optimization of observables and the question of dynamical realizability
摘要：
本文研究了混合态量子系统的控制极限。非耗散量子系统的幺正演化约束对任意观测量的优化施加了运动学上的限制。我们总结了我们以前的结果，运动学界，并表明，这些界是动态可实现的完全可控系统。此外，我们建立了某些部分可控系统的改进界。最后，证明了任意部分能控系统的界的动态可实现性问题依赖于酉群U（N）上相应控制系统的可达集，并简要讨论了几个控制计算的结果。
英文摘要：
In this paper we investigate the limits of control for mixed-state quantum systems. The constraint of unitary evolution for non-dissipative quantum systems imposes kinematical bounds on the optimization of arbitrary observables. We summarize our previous results on kinematical bounds and show that these bounds are dynamically realizable for completely controllable systems. Moreover, we establish improved bounds for certain partially controllable systems. Finally, the question of dynamical realizability of the bounds for arbitary partially controllable systems is shown to depend on the accessible sets of the associated control system on the unitary group U(N) and the results of a few control computations are discussed briefly.
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