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arXiv · 1803.00448

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

Karthik S. Joshi·S. K. Srivatsa·R. Srikanth
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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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Karthik S. Joshi, S. K. Srivatsa, R. Srikanth. 2018-03-01. Path integral approach to one-dimensional discrete-time quantum walk. https://arxiv.org/abs/1803.00448

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