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quant-ph2003
Scattering theory and discrete-time quantum walks
Edgar Feldman, Mark Hillery
We study quantum walks on general graphs from the point of view of scattering theory. For a general finite graph we choose two vertices and attach one half line to each. We are int…
quant-ph2003
Quantum walks based on an interferometric analogy
Mark Hillery, Janos Bergou, Edgar Feldman
There are presently two models for quantum walks on graphs. The "coined" walk uses discrete time steps, and contains, besides the particle making the walk, a second quantum system,…