Decoherence can be useful in quantum walks

Viv Kendon, Ben Tregenna

Research output: Contribution to journalArticlepeer-review

Abstract

We present a study of the effects of decoherence in the operation of a discrete quantum walk on a line, cycle, and hypercube. We find high sensitivity to decoherence, increasing with the number of steps in the walk, as the particle is becoming more delocalized with each step. However, the effect of a small amount of decoherence is to enhance the properties of the quantum walk that are desirable for the development of quantum algorithms. Specifically, we observe a highly uniform distribution on the line, a very fast mixing time on the cycle, and more reliable hitting times across the hypercube.
Original languageEnglish
Article number042315
Number of pages6
JournalPhysical Review A
Volume67
Issue number4
DOIs
Publication statusPublished - 22 Apr 2003

Keywords

  • decoherence
  • quantum walks
  • random walks
  • quantum algorithms
  • coined quantum walk
  • glued trees walks

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