论文标题

开放量子系统的Krotov算法的单调增加的证明

Proof of monotonic increase in the cost function for Krotov algorithm for open quantum systems

论文作者

Shetty, Tejas

论文摘要

大量量子控制论文使用了Krotov的单调收敛变分控制算法的一种变体(如Maday和Turinici(2003)中所述,Tannor等人(1992),Zhu和Rabitz(1998)等)。本文“通过开放量子系统的变化优化加速热量”,N,Suri等人。 [EPJST 227,203 -216(2018),ARXIV:1711.08776]为我们提供了一种用于开放量子系统的Krotov算法的方法。我们将证明本文定理1,大大扩展了同一附录1中给出的简短处理。

A great number of quantum control papers have used one of the variants of the monotonically convergent variational control algorithm of Krotov (as described in Maday and Turinici (2003), Tannor et al. (1992), Zhu and Rabitz (1998), etc). The paper "Speeding up Thermalisation via Open Quantum System Variational Optimisation" by N, Suri, et al. [EPJST 227, 203 -216 (2018), arXiv:1711.08776] provides us a way of carrying out Krotov algorithm for open quantum systems. We shall prove the Theorem 1 of the paper, greatly expanding upon the brief treatment given in appendix 1 of the same.

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