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quant-phSep 1, 2018
2
citations (OpenAlex)
authors
  • Przemysław Sadowski
  • Łukasz Pawela
  • Paulina Lewandowska
  • Ryszard Kukulski
institutions
  • Institute of Theoretical and Applied Informatics
  • Polish Academy of Sciences
  • University of Silesia in Katowice
arXiv abstractPDF
paper

Quantum walks on hypergraphs

arXiv:1809.04521 · doi:10.1007/s10773-019-04212-6

Abstract

In this work we introduce the concept of a quantum walk on a hypergraph. We show that the staggered quantum walk model is a special case of a quantum walk on a hypergraph.

arXiv comment14 pages, 2 figures

References in corpus (15)

  • Quantum random walks - an introductory overview
  • Spatial search by quantum walk
  • Open Quantum Random Walks
  • Quantum stochastic walks: A generalization of classical random walks and quantum walks
  • Google in a Quantum Network
  • Quantum walks based on an interferometric analogy
  • The Staggered Quantum Walk Model
  • Open Quantum Walks on Graphs
  • Cooperative quantum Parrondo's games
  • Staggered Quantum Walks with Hamiltonians
  • Efficient simulation of sparse Markovian quantum dynamics
  • Superdiffusive quantum stochastic walk definable of arbitrary directed graph
  • Central limit theorem for reducible and irreducible open quantum walks
  • Generalized open quantum walks on Apollonian networks
  • Coherent chemical kinetics as quantum walks I: Reaction operators for radical pairs

Cited by in corpus (1)

  • Decoherence on Staggered Quantum Walks
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