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- W131888345 abstract "Quantum walks exhibit many unique characteristics compared to classical random walks. In the classical setting, self-avoiding random walks have been studied as a variation on the usual classical random walk. Classical self-avoiding random walks have found numerous applications, most notably in the modeling of protein folding. We consider the analogous problem in the quantum setting. We complement a quantum walk with a memory register that records where the walker has previously resided. The walker is then able to avoid returning back to previously visited sites. We parameterise the strength of the memory recording and the strength of the memory back-action on the walker’s motion, and investigate their eect on the dynamics of the walk. We nd that by manipulating these parameters the walk can be made to reproduce ideal quantum or classical random walk statistics, or a plethora of more elaborate diusive phenomena. In some parameter regimes we observe a close correspondence between classical self-avoiding random walks and the quantum self-avoiding walk." @default.
- W131888345 created "2016-06-24" @default.
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- W131888345 date "2014-01-09" @default.
- W131888345 modified "2023-09-27" @default.
- W131888345 title "Self-avoiding quantum walks" @default.
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