Chinese Journal of Quantum Electronics, Volume. 40, Issue 6, 917(2023)

Continuous regulation from quantum walk to classical walk

CHEN Bin1、#, CHEN Tianhao2、#, and ZHANG Rong1
Author Affiliations
  • 1College of Electronic and Optical Engineering, Nanjing University of Posts and Telecommunication, Nanjing 210023, China
  • 2Bell Honors School, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
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    In order to deeply understand the wave particle duality of microscopic particles, explore the transitions between wave state and particle state, and prepare the coexistence states of multi-path wave state and particle state, a theoretical scheme to realize the continuous transition from wave- to particle-state in quantum walks by introducing quantum control is proposed. The variation of the position distribution and variance of quantum walks with auxiliary bit coefficients is calculated respectively. It is shown that quantum control can make the walker not only in the mixed state of wave and particle, but also in the coherent superposition state. The continuous morphing from wave state to particle state is displayed by the position variance in both the coherent way and the mixed way, and the difference between the mixed state control and the coherent state control is also demonstrated. Quantum walks provide a useful platform for in-depth study on the wave-particle duality of microscopic particles.

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    Bin CHEN, Tianhao CHEN, Rong ZHANG. Continuous regulation from quantum walk to classical walk[J]. Chinese Journal of Quantum Electronics, 2023, 40(6): 917

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    Paper Information

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    Received: Jan. 22, 2022

    Accepted: --

    Published Online: Dec. 22, 2023

    The Author Email:

    DOI:10.3969/j.issn.1007-5461.2023.06.011

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