• 中国精品科技期刊
  • CCF推荐A类中文期刊
  • 计算领域高质量科技期刊T1类
Advanced Search
Li Meng, Shang Yun. Dynamics of Coherence in Quantum Walk with Two Coins[J]. Journal of Computer Research and Development, 2021, 58(9): 1897-1905. DOI: 10.7544/issn1000-1239.2021.20210266
Citation: Li Meng, Shang Yun. Dynamics of Coherence in Quantum Walk with Two Coins[J]. Journal of Computer Research and Development, 2021, 58(9): 1897-1905. DOI: 10.7544/issn1000-1239.2021.20210266

Dynamics of Coherence in Quantum Walk with Two Coins

Funds: This work was supported by the National Key Research and Development Program of China (2016YFB1000902), the National Natural Science Foundation of China (61872352, 61472412), and the Program for Creative Research Group of the National Natural Science Foundation of China (61621003).
More Information
  • Published Date: August 31, 2021
  • Quantum walk is an important model of quantum computing, and quantum walk with multiple coins has attracted more and more attention due to its outstanding performance in quantum communication protocols. Quantum coherence can not only describe the characteristics of quantum states, but also reflect the properties of quantum evolution process. In this paper, we analyze quantum coherence for the model of quantum walk with two coins on the one dimensional circle. On the one hand, we discuss the influence of the choice of initial quantum state and coin operators on quantum coherence. When the coin operator is Hadamard operator, as long as the initial state in subspace is equal superposition, the whole evolutionary process of quantum walk is periodic, and quantum coherence only depends on the number of vertexes of the circle and steps; When the initial state is equal superposition and there are no limits on the coin operators, the evolution of the quantum state is also extremely regular. On the other hand, we find that in the process of perfect state transfer by quantum walk, the coin operator will determine the quantum coherence directly. In addition, we also discuss the equivalence between the two quantum walk models, and based on this, we point out the possibility of application and improvement in quantum teleportation.
  • Related Articles

    [1]Zheng Fang, Shen Li, Li Hongliang, Xie Xianghui. Lightweight Error Recovery Techniques of Many-Core Processor in High Performance Computing[J]. Journal of Computer Research and Development, 2015, 52(6): 1316-1328. DOI: 10.7544/issn1000-1239.2015.20150119
    [2]Xiong Huanliang, Zeng Guosun, Wu Canghai. A Novel Scalability Metric for Parallel Computing[J]. Journal of Computer Research and Development, 2014, 51(11): 2547-2558. DOI: 10.7544/issn1000-1239.2014.20130750
    [3]Zhang Aiqing, Mo Zeyao, Yang Zhang. Three-Level Hierarchical Software Architecture for Data-Driven Parallel Computing with Applications[J]. Journal of Computer Research and Development, 2014, 51(11): 2538-2546. DOI: 10.7544/issn1000-1239.2014.20131241
    [4]Chen Qi, Chen Zuoning, Jiang Jinhu. MDDS: A Method to Improve the Metadata Performance of Parallel File System for HPC[J]. Journal of Computer Research and Development, 2014, 51(8): 1663-1670. DOI: 10.7544/issn1000-1239.2014.20121094
    [5]Cai Yong, Li Guangyao, and Wang Hu. Parallel Computing of Central Difference Explicit Finite Element Based on GPU General Computing Platform[J]. Journal of Computer Research and Development, 2013, 50(2): 412-419.
    [6]Zhang Shihui, Kong Lingfu, and Feng Liang. An Improved Hestenes SVD Method and Its Parallel Computing and Application in Parallel Robot[J]. Journal of Computer Research and Development, 2008, 45(4): 716-724.
    [7]Tu Bibo, Hong Xuehai, Zhan Jianfeng, Fan Jianping. Workflow-Based User Environment for High Performance Computing[J]. Journal of Computer Research and Development, 2007, 44(10): 1717-1723.
    [8]Wu Xiangjun, Jin Zhiyan, Chen Dehui, Song Junqiang, Yang Xuesheng. A Parallel Computing Algorithm and Its Application in New Generation of Numerical Weather Prediction System (GRAPES)[J]. Journal of Computer Research and Development, 2007, 44(3).
    [9]Liu Jie, Chi Lihua, Hu Qingfeng, Li Xiaomei. An Improved TFQMR Algorithm for Large Linear Systems Suited to Parallel Computing[J]. Journal of Computer Research and Development, 2005, 42(7): 1235-1240.
    [10]Feng Shengzhong, Tan Guangming, Xu Lin, Sun Ninghui, Xu Zhiwei. Research on the High Performance Algorithms of Dawning 4000H Bioinformatics Specific Machine[J]. Journal of Computer Research and Development, 2005, 42(6): 1053-1058.

Catalog

    Article views (355) PDF downloads (196) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return