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Related Experiment Videos

Aperiodic quantum random walks.

P Ribeiro1, P Milman, R Mosseri

  • 1Groupe de Physique des Solides, Universités Paris 6 et 7, campus Boucicaut, 140 rue de Lourmel, 75015 Paris France. pedro.ribeiro@polytechnique.fr

Physical Review Letters
|December 17, 2004
PubMed
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This study explores quantum random walks with aperiodic sequences of biased quantum coins. Fibonacci sequences show sub-ballistic spreading, while random sequences exhibit diffusive behavior, mimicking classical walks.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Quantum information

Background:

  • Quantum random walks (QRWs) are a fundamental model in quantum computation and simulation.
  • Generalizing QRWs with complex coin strategies can lead to novel transport properties.
  • Aperiodic sequences offer a pathway to explore non-standard quantum dynamics.

Purpose of the Study:

  • To generalize the quantum random walk protocol on a one-dimensional chain.
  • To investigate the effects of aperiodic sequences of biased quantum coins on wave-function evolution.
  • To explore potential experimental implementations of these novel quantum walk dynamics.

Main Methods:

  • Generalization of the quantum random walk protocol.
  • Utilizing various biased quantum coins.

Related Experiment Videos

  • Arranging coin operators in aperiodic sequences, including Fibonacci and random patterns.
  • Analyzing wave-function spreading dynamics.

    • Main Results:

    • A rich variety of wave-function evolutions were observed.
    • Quasiperiodic Fibonacci sequences resulted in sub-ballistic wave-function spreading.
    • Random sequences led to diffusive spreading, analogous to classical random walks.
    • The study outlines methods for experimental implementation.

    Conclusions:

    • Aperiodic quantum coin sequences offer a powerful tool to control and diversify quantum transport.
    • The Fibonacci quasiperiodic sequence provides a unique route to sub-ballistic quantum transport.
    • The findings bridge theoretical predictions with potential experimental realization, advancing quantum simulation capabilities.