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Related Experiment Videos

Dynamical localization and repeated measurements in a quantum computation process.

M Terraneo1, D L Shepelyansky

  • 1Laboratoire de Physique Théorique, UMR 5152 du CNRS, Université Paul Sabatier, 31062 Toulouse CEDEX 4, France.

Physical Review Letters
|February 3, 2004
PubMed
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Measurements can preserve dynamical localization in quantum computers, contrary to prior beliefs. Our study reveals a transition between localized and delocalized phases based on system parameters and qubit choice.

Area of Science:

  • Quantum mechanics
  • Quantum computation
  • Dynamical systems

Background:

  • Dynamical localization is a phenomenon where quantum systems exhibit reduced spreading.
  • Previous research suggested measurements disrupt localization, leading to diffusive spreading.
  • The kicked rotator model is a standard model for studying quantum chaos and localization.

Purpose of the Study:

  • To investigate the impact of repeated single-qubit measurements on dynamical localization in the kicked rotator model.
  • To explore conditions under which localization can be preserved despite measurements.
  • To identify a transition between localized and delocalized phases induced by measurement strategies.

Main Methods:

  • Numerical simulations of the kicked rotator model on a quantum computer.

Related Experiment Videos

  • Implementation of repeated single-qubit measurements.
  • Analysis of probability distribution and phase transitions.

    • Main Results:

    • Demonstrated preservation of dynamical localization under repeated single-qubit measurements.
    • Observed a transition from a localized to a delocalized phase.
    • Showed that the transition depends on system parameters and the specific qubit being measured.

    Conclusions:

    • Repeated single-qubit measurements do not necessarily destroy dynamical localization in the kicked rotator model.
    • The interplay between system parameters and measurement choice dictates the system's phase (localized or delocalized).
    • This finding offers new insights into controlling quantum dynamics and preserving localization in quantum computing.