Continuous-time quantum walks on dynamical percolation graphs
Continuous-time quantum walks on dynamical percolation graphs
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DOI：
10.1209/0295-5075/124/60001
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发表时间：
2018-12-01
期刊：
影响因子：
1.8
通讯作者：
Paris, Matteo G. A.
中科院分区：
文献类型：
--
作者：
Benedetti, Claudia;Rossi, Matteo A. C.;Paris, Matteo G. A.
我们解决了在存在时间和空间相关噪声的图上的连续时间量子行走。噪声被建模为广义动态渗流，即，影响步行者隧穿振幅的经典时间依赖性波动。为了说明该模型的一般特征，我们回顾了最近的结果上的两个典型的例子：量子行走的动力学和噪声的影响，量子空间搜索的性能完全和星星图。我们还讨论了未来的前景，包括扩展到多粒子量子行走，现场能量的噪声模型和不同的噪声谱的分析。最后，我们解决了使用量子漫步作为量子探针来表征复杂的，经典的和量子的网络中发生的缺陷和扰动。版权所有（C）EPLA，2019
We address continuous-time quantum walks on graphs in the presence of time-and space-dependent noise. Noise is modeled as generalized dynamical percolation, i.e., classical time-dependent fluctuations affecting the tunneling amplitudes of the walker. In order to illustrate the general features of the model, we review recent results on two paradigmatic examples: the dynamics of quantum walks on the line and the effects of noise on the performances of quantum spatial search on the complete and the star graph. We also discuss future perspectives, including extension to many-particle quantum walk, to noise model for on-site energies and to the analysis of different noise spectra. Finally, we address the use of quantum walks as a quantum probe to characterize defects and perturbations occurring in complex, classical and quantum, networks. Copyright (C) EPLA, 2019