论文标题

稳健状态表征和工程的量子速度限制

Quantum speed limit for robust state characterization and engineering

论文作者

Kobayashi, Kohei, Yamamoto, Naoki

论文摘要

在本文中,我们提出了一个概念,将使用量子速度限制(QSL)作为状态鲁棒性的衡量标准,并确定具有较大QSL的状态更健壮。从这个角度来看,重要的是要有明确的QSL,因为这样我们就可以制定一个哈密顿的工程问题,该问题使目标状态具有稳健性,以抵抗腐烂。因此,我们得出了一种适用于Markovian开放量子系统的新型明确汇总的QSL。在重要的设置中,该QSL比另一个明确竞争的QSL更紧,因此腐烂很小。同样,此QSL的哈密顿工程问题也是二次凸优化问题,因此可以有效解决。有几个例子证明了强大的状态表征和汉密尔顿工程学的想法。

In this paper, we propose a concept to use a quantum speed limit (QSL) as a measure of robustness of states, defining that a state with bigger QSL is more robust. In this perspective, it is important to have an explicitly-computable QSL, because then we can formulate an engineering problem of Hamiltonian that makes a target state robust against decoherence. Hence we derive a new explicitly-computable QSL that is applicable to general Markovian open quantum systems. This QSL is tighter than another explicitly-computable QSL, in an important setup such that decoherence is small. Also the Hamiltonian engineering problem with this QSL is a quadratic convex optimization problem, and thus it is efficiently solvable. The idea of robust state characterization and the Hamiltonian engineering, in terms of QSL, is demonstrated with several examples.

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