Entanglement dynamics and quasi-periodicity in discrete quantum walks

Peter P. Rohde, Alessandro Fedrizzi, Timothy C. Ralph

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We study the entanglement dynamics of discrete time quantum walks acting on bounded finite sized graphs. We demonstrate that, depending on system parameters, the dynamics may be monotonic, oscillatory but highly regular, or quasi-periodic. While the dynamics of the system are not chaotic since the system comprises linear evolution, the dynamics often exhibit some features similar to chaos such as high sensitivity to the system's parameters, irregularity and infinite periodicity. Our observations are of interest for entanglement generation, which is one primary use for the quantum walk formalism. Furthermore, we show that the systems we model can easily be mapped to optical beamsplitter networks, rendering experimental observation of quasi-periodic dynamics within reach.

Original languageEnglish
Pages (from-to)710-720
Number of pages11
JournalJournal of Modern Optics
Volume59
Issue number8
DOIs
Publication statusPublished - 2012

Keywords

  • quantum walk
  • quantum information theory
  • quantum computation
  • quantum optics (inc. quantum information)
  • W-STATE
  • TELEPORTATION
  • GRAPHS

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