Limit theorems for quantum walks driven by many coins

Etsuo Segawa, Norio Konno

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

We obtain some rigorous results on limit theorems for quantum walks driven by many coins introduced by Brun et al. in the long time limit. The results imply that whether the behavior of a particle is quantum or classical depends on the three factors: the initial qubit, the number of coins M, d = [t/M], where t is time step. Our main theorem shows that we can see a transition from classical behavior to quantum one for a class of three factors.

Original languageEnglish
Pages (from-to)1231-1243
Number of pages13
JournalInternational Journal of Quantum Information
Volume6
Issue number6
DOIs
Publication statusPublished - 2008 Dec 1

Keywords

  • Limit theorem
  • Many coins
  • Quantum walks

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'Limit theorems for quantum walks driven by many coins'. Together they form a unique fingerprint.

Cite this