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Related Experiment Video

Updated: Jun 20, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Noise correlations behind superdiffusive quantum walks.

Graça R M de Almeida1, N Amaral1, A R C Buarque1,2

  • 1Instituto de Física, <a href="https://ror.org/00dna7t83">Universidade Federal de Alagoas</a>, 57072-900 Maceió, Alagoas, Brazil.

Physical Review. E
|July 18, 2024
PubMed
Summary
This summary is machine-generated.

Correlated noise in quantum walks can shift behavior from localization to superdiffusive spreading. This emergent superdiffusion is observed in both spatial and temporal noise regimes, offering new insights into quantum transport.

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Area of Science:

  • Quantum physics
  • Quantum information science
  • Condensed matter theory

Background:

  • Quantum walks are fundamental models for quantum computation and simulation.
  • Standard models often assume uncorrelated noise, which may not reflect realistic scenarios.
  • Understanding noise effects is crucial for robust quantum technologies.

Purpose of the Study:

  • To investigate the impact of short-range correlated noise on discrete-time quantum walks.
  • To explore how noise correlations influence quantum transport properties.
  • To analyze the transition from localized to superdiffusive behavior.

Main Methods:

  • Introduction of binary pair correlations in noise models.
  • Examination of quantum gate inhomogeneity.
  • Analysis of transport properties in spatial and temporal noise regimes.
  • Numerical and analytical calculations.

Main Results:

  • Noise correlations drive quantum walks from exponential localization to superdiffusive spreading.
  • Superdiffusive exponent shows near-invariance to the degree of spatial inhomogeneity.
  • Temporal noise correlations induce emergent superdiffusion, replacing the standard diffusive regime.
  • Some quantum gates exhibit insensitivity to correlations.

Conclusions:

  • Correlated noise fundamentally alters quantum walk dynamics, promoting superdiffusion.
  • The findings offer insights into quantum transport mechanisms, relevant for disordered systems.
  • This work provides a framework for studying quantum walks under more realistic noise conditions.