A Discrete Transmission Line Model for Discrete-time Quantum Walks

  • FUKUSHIMA Yusuke
    Electrical and Electronic Engineering, Graduate School of Science and Engineering, Ibaraki University
  • WADA Tatsuaki
    Department of Electrical and Electronic Engineering, Ibaraki University

抄録

Based on the similarity between telegraph equation for transmission lines and Klein–Gordon equation, we have related a distributed element model in electrical engineering to a discrete-time quantum walk through Dirac equation. As a result, we have constructed a discrete transmission line model for a discrete-time quantum walk, and it enables us understanding the characteristics of quantum walks as those of the transmission line.

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