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Floquet-engineered quantum walks

Authors
  • Katayama, Haruna1
  • Hatakenaka, Noriyuki1
  • Fujii, Toshiyuki2
  • 1 Hiroshima University, Higashihiroshima, 739-8521, Japan , Higashihiroshima (Japan)
  • 2 Asahikawa Medical University, Midorigaoka-higashi, Asahikawa, 078-8510, Japan , Midorigaoka-higashi (Japan)
Type
Published Article
Journal
Scientific Reports
Publisher
Springer Nature
Publication Date
Oct 16, 2020
Volume
10
Issue
1
Identifiers
DOI: 10.1038/s41598-020-74418-w
Source
Springer Nature
License
Green

Abstract

The quantum walk is the quantum-mechanical analogue of the classical random walk, which offers an advanced tool for both simulating highly complex quantum systems and building quantum algorithms in a wide range of research areas. One prominent application is in computational models capable of performing any quantum computation, in which precisely controlled state transfer is required. It is, however, generally difficult to control the behavior of quantum walks due to stochastic processes. Here we unveil the walking mechanism based on its particle-wave duality and then present tailoring quantum walks using the walking mechanism (Floquet oscillations) under designed time-dependent coins, to manipulate the desired state on demand, as in universal quantum computation primitives. Our results open the path towards control of quantum walks.

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