Arbitrary coherent distributions in a programmable quantum walk

The coherent superposition of position states in a quantum walk (QW) can be precisely engineered towards the desired distributions to meet the need of quantum information applications. The coherent distribution can make full use of quantum parallel in computation and simulation. Particularly, the un...

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Main Authors: Rong Zhang, Ran Yang, Jian Guo, Chang-Wei Sun, Yi-Chen Liu, Heng Zhou, Ping Xu, Zhenda Xie, Yan-Xiao Gong, Shi-Ning Zhu
Format: Article
Language:English
Published: American Physical Society 2022-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.023042
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author Rong Zhang
Ran Yang
Jian Guo
Chang-Wei Sun
Yi-Chen Liu
Heng Zhou
Ping Xu
Zhenda Xie
Yan-Xiao Gong
Shi-Ning Zhu
author_facet Rong Zhang
Ran Yang
Jian Guo
Chang-Wei Sun
Yi-Chen Liu
Heng Zhou
Ping Xu
Zhenda Xie
Yan-Xiao Gong
Shi-Ning Zhu
author_sort Rong Zhang
collection DOAJ
description The coherent superposition of position states in a quantum walk (QW) can be precisely engineered towards the desired distributions to meet the need of quantum information applications. The coherent distribution can make full use of quantum parallel in computation and simulation. Particularly, the uniform superposition provides the robust nonlocality, which has wide applications such as the generation of genuine multibit random numbers without postprocessing. We experimentally demonstrate that the rich dynamics featured with arbitrary coherent distributions can be obtained by introducing different sets of the time- and position-dependent operations. Such a QW is realized by a resource-constant and flexible optical circuit, in which the variable operation is executed based on a Sagnac interferometer in an intrinsically stable and precisely controlled way. Our results contribute to the practical realization of quantum-walk-based quantum computation, quantum simulations, and quantum information protocols.
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spelling doaj.art-f3f9130d65e440429c9741d156eca7742024-04-12T17:19:56ZengAmerican Physical SocietyPhysical Review Research2643-15642022-04-014202304210.1103/PhysRevResearch.4.023042Arbitrary coherent distributions in a programmable quantum walkRong ZhangRan YangJian GuoChang-Wei SunYi-Chen LiuHeng ZhouPing XuZhenda XieYan-Xiao GongShi-Ning ZhuThe coherent superposition of position states in a quantum walk (QW) can be precisely engineered towards the desired distributions to meet the need of quantum information applications. The coherent distribution can make full use of quantum parallel in computation and simulation. Particularly, the uniform superposition provides the robust nonlocality, which has wide applications such as the generation of genuine multibit random numbers without postprocessing. We experimentally demonstrate that the rich dynamics featured with arbitrary coherent distributions can be obtained by introducing different sets of the time- and position-dependent operations. Such a QW is realized by a resource-constant and flexible optical circuit, in which the variable operation is executed based on a Sagnac interferometer in an intrinsically stable and precisely controlled way. Our results contribute to the practical realization of quantum-walk-based quantum computation, quantum simulations, and quantum information protocols.http://doi.org/10.1103/PhysRevResearch.4.023042
spellingShingle Rong Zhang
Ran Yang
Jian Guo
Chang-Wei Sun
Yi-Chen Liu
Heng Zhou
Ping Xu
Zhenda Xie
Yan-Xiao Gong
Shi-Ning Zhu
Arbitrary coherent distributions in a programmable quantum walk
Physical Review Research
title Arbitrary coherent distributions in a programmable quantum walk
title_full Arbitrary coherent distributions in a programmable quantum walk
title_fullStr Arbitrary coherent distributions in a programmable quantum walk
title_full_unstemmed Arbitrary coherent distributions in a programmable quantum walk
title_short Arbitrary coherent distributions in a programmable quantum walk
title_sort arbitrary coherent distributions in a programmable quantum walk
url http://doi.org/10.1103/PhysRevResearch.4.023042
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