论文标题

开放系统的量子绝热金属丝隆

Quantum adiabatic brachistochrone for open systems

论文作者

Santos, Alan C., Villas-Boas, Celso J., Bachelard, Romain

论文摘要

我们提出了一个变异原理,以计算开放系统的量子绝热腕足激素(QAB)。使用基于能量差距的“绝热速度”的概念,我们得出了与功能相关的Lagrangian,以测量实现绝热行为所花费的时间,这又使我们能够执行优化。 QAB用于搅拌过程,Deutsch-Jozsa量子计算算法和Transmon Qutrit的非自动动力学。设计了一个数值协议,该协议允许计算QAB的任意量子系统,可以为其提供精确的模拟。我们还建立了足够的条件,可以使Lagrangians(因此QAB)之间的等效性与开放系统和封闭式系统之间的等效性。

We propose a variational principle to compute a quantum adiabatic brachistochrone (QAB) for open systems. Using the notion of "adiabatic speed" based on the energy gaps, we derive a Lagrangian associated to the functional measuring the time spent to achieve adiabatic behavior, which in turn allows us to perform the optimization. The QAB is illustrated for non-unitary dynamics of STIRAP process, the Deutsch-Jozsa quantum computing algorithm and of a transmon qutrit. A numerical protocol is devised, which allows to compute the QAB for arbitrary quantum systems for which exact simulations can be afforded. We also establish sufficient conditions for the equivalence between the Lagrangians, and thus the QAB, of open and closed systems.

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