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Continuous-time quantum walk based on cycle under broken-line decoherent noise

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Abstract

At present, decoherence continuous-time quantum walks are only based on measurement decoherence, but a new broken-line noise model for continuous-time quantum walks on the cycle is proposed. In this scheme, we first construct the Hamiltonian H according to four cases including no broken links, the link to the left of the node is broken, the link to the right of the node is broken, and both links are broken, and then, the probability of a walker is reconstructed. We analyze the probability distribution, mixing time, diffusion and localization, quantum coherence, and non-Markovian properties under different transition rates and broken-line probabilities. We observe that walkers exhibit different dynamics for two transition rates (slow transition rate and fast transition rate), the slow transition rate localizes the walker near the initial position, while the fast transition rate exhibits a shift to classical diffusion behavior. In particular, we use negentropy to evaluate the degree of classicization. Research has shown that a greater broken-line probability induces a transition to classicization. Our results contribute to a deeper understanding of the effects of broken-line noise and decoherence on continuous-time quantum walks and provide some reference value for the application research of broken-line decoherence continuous-time quantum walking in other fields.

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Acknowledgements

This work is supported by The National Natural Science Foundation of China (No. 61602019); Beijing Natural Science Foundation (Grant No.4182006);

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Authors and Affiliations

  1. College of Computer Science and Technology, Beijing University of Technology, Beijing, 100124, China

    Wei-Min Shi, Pan Tian, Yi-Hua Zhou & Yu-Guang Yang

  2. Beijing Key Laboratory of Trusted Computing, Beijing, 100124, China

    Wei-Min Shi, Pan Tian, Yi-Hua Zhou & Yu-Guang Yang

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  1. Wei-Min Shi
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  2. Pan Tian
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  3. Yi-Hua Zhou
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Correspondence to Wei-Min Shi.

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Shi, WM., Tian, P., Zhou, YH. et al. Continuous-time quantum walk based on cycle under broken-line decoherent noise. Indian J Phys (2023). https://doi.org/10.1007/s12648-023-03032-z

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  • DOI: https://doi.org/10.1007/s12648-023-03032-z

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