Path integral approach to one-dimensional discrete-time quantum walk

Published 1 Mar 2018 in quant-ph | (1803.00448v1)

Abstract: Discrete-time quantum walk in one-dimension is studied from a path-integral perspective. This enables derivation of a closed-form expression for amplitudes corresponding to any coin-position basis of the state vector of the quantum walker at an arbitrary step of the walk. This provides a new approach to the foundations and applications of quantum walks.

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