Efficient scheme for experimental quantification of non-Markovianity in high-dimensional systems
Efficient scheme for experimental quantification of non-Markovianity in high-dimensional systems
复制标题
高维系统中非马尔可夫性实验量化的有效方案
DOI：
10.1103/physreva.91.042317
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发表时间：
2015
影响因子：
2.9
通讯作者：
He Lixin
中科院分区：
文献类型：
--
作者：
Dong S. -J.;Liu B. -H.;Han Y. -J.;Guo G. -C.;He Lixin
非马尔可夫性是开放量子系统动力学的一个突出概念，在量子力学和量子信息中具有根本重要性。尽管付出了很多努力，开放系统非马尔可夫性的实验测量仍然仅限于非常小的系统。目前，利用广泛使用的 Breuer-Laine-Piilo (BLP) 迹距测度来实验量化高维系统的非马尔可夫性仍然是不可能的。在本文中，我们提出了一种结合实验测量和数值计算的方法，可以量化仅缩放为$N^2$的$N$维系统的非马尔可夫性，成功地避免了当前方法中开放系统维数的指数缩放。在以二维开放系统为基准后，我们演示了量化高维开放量子随机游走系统的非马尔可凡性的方法。
The non-Markovianity is a prominent concept of the dynamics of the open quantum systems, which is of fundamental importance in quantum mechanics and quantum information. Despite of lots of efforts, the experimentally measuring of non-Markovianity of an open system is still limited to very small systems. Presently, it is still impossible to experimentally quantify the non-Markovianity of high dimension systems with the widely used Breuer-Laine-Piilo (BLP) trace distance measure. In this paper, we propose a method, combining experimental measurements and numerical calculations, that allow quantifying the non-Markovianity of a $N$ dimension system only scaled as $N^2$, successfully avoid the exponential scaling with the dimension of the open system in the current method. After the benchmark with a two-dimension open system, we demonstrate the method in quantifying the non-Markovanity of a high dimension open quantum random walk system.