The role of measurement in the recurrence property of discrete timed quantum walks

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

Research output: Conference contribution

Abstract

The quantum mechanical generalisation of random walks (called Quantum Walks) present us with a broader spectrum of possibilities compared to their classical counterparts. The aim of the presented study is to explore a new portion of this area by incorporating a new step in the process of the Quantum Walk unique to quantum mechanics: the measurement. Our focus lies in the characterising number of the recurrence behaviour of the walk (Polya-number). We observe the effect of the standard projective measurement, a yes-no measurement on the origin and the effect of different measurement schemes (periodic and random) on the definition and the numeric value of the Polya-number.

Original languageEnglish
Title of host publicationPhoton Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing III
DOIs
Publication statusPublished - jún. 17 2011
EventPhoton Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing III - Prague, Czech Republic
Duration: ápr. 18 2011ápr. 20 2011

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume8072
ISSN (Print)0277-786X

Other

OtherPhoton Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing III
CountryCzech Republic
CityPrague
Period4/18/114/20/11

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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  • Cite this

    Kecskés, L., Kiss, T., Štefaňak, M., & Jex, I. (2011). The role of measurement in the recurrence property of discrete timed quantum walks. In Photon Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing III [80720U] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 8072). https://doi.org/10.1117/12.886813