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Interdisciplinary Information Sciences
Article . 2017 . Peer-reviewed
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Article . 2017
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A Discrete Transmission Line Model for Discrete-time Quantum Walks

A discrete transmission line model for discrete-time quantum walks
Authors: FUKUSHIMA, Yusuke; WADA, Tatsuaki;

A Discrete Transmission Line Model for Discrete-time Quantum Walks

Abstract

Summary: 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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Keywords

Sums of independent random variables; random walks, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, telegraph equation, transmission line, Klein–Gordon equation, quantum walk, Technical applications of optics and electromagnetic theory, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Klein-Gordon equation, Quantum stochastic calculus, Dirac equation, Signal detection and filtering (aspects of stochastic processes)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold