Decoherence versus entanglement in coined quantum walks

Olivier Maloyer, Viv Kendon

Research output: Contribution to journalArticlepeer-review

48 Citations (Scopus)
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Abstract

Quantum versions of random walks on the line and cycle show a quadratic improvement in their spreading rate and mixing times respectively. The addition of decoherence to the quantum walk produces a more uniform distribution on the line, and even faster mixing on the cycle by removing the need for time-averaging to obtain a uniform distribution. We calculate numerically the entanglement between the coin and the position of the quantum walker and show that the optimal decoherence rates are such that all the entanglement is just removed by the time the final measurement is made.
Original languageEnglish
Article number87
Number of pages12
JournalNew Journal of Physics
Volume9
DOIs
Publication statusPublished - 30 Apr 2007

Keywords

  • numerical methods
  • decoherence
  • entanglement
  • quantum walks
  • quantum theory

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