
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.
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)
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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