Recurrence in coined quantum walks

T. Kiss, L. Kecskés, M. Štefaňák, I. Jex

Research output: Contribution to journalConference article

6 Citations (Scopus)


Recurrence of quantum walks on lattices can be characterized by the generalized Pólya number. Its value reflects the difference between a classical and a quantum system. The dimension of the lattice is not a unique parameter in the quantum case; both the coin operator and the initial quantum state of the coin influence the recurrence in a nontrivial way. In addition, the definition of the Pólya number involves measurement of the system. Depending on how measurement is included in the definition, the recurrence properties vary. We show that in the limiting case of frequent, strong measurements, one can approach the classical dynamics. Comparing various cases, we have found numerical indication that our previous definition of the Pólya number provides an upper limit.

Original languageEnglish
Article number014055
JournalPhysica Scripta T
Publication statusPublished - Nov 9 2009
Event15th Central European Workshop on Quantum Optics, CEWQO - Belgrade, Serbia
Duration: May 29 2008Jun 3 2008


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

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