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Localization Detection Based on Quantum Dynamics.

Kazue Kudo1,2

  • 1Department of Computer Science, Ochanomizu University, Tokyo 112-8610, Japan.

Entropy (Basel, Switzerland)
|August 26, 2022
PubMed
Summary
This summary is machine-generated.

This study shows how quantum devices can detect many-body localization (MBL). Measuring twist overlap after time evolution effectively probes MBL in quantum computing.

Keywords:
many-body localizationquantum computingtwist overlap

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum information science

Background:

  • Detecting many-body localization (MBL) traditionally requires complex numerical calculations of high-energy eigenstates.
  • Disorder-induced localization is a key phenomenon in many-body quantum systems.

Purpose of the Study:

  • To investigate quantum device-based methods for detecting many-body localization.
  • To explore the use of measurable quantities like magnetization and twist overlap for MBL detection.

Main Methods:

  • Numerical simulations on small quantum systems.
  • Utilizing quantum device measurements (qubit measurements) to obtain magnetization and twist overlap.
  • Analyzing the behavior of twist overlap after time evolution.

Main Results:

  • Demonstrated that magnetization and twist overlap change significantly from the thermal to the localized phase.
  • Showed that twist overlap evaluated post-time evolution can mimic eigenstate-based calculations under specific conditions.
  • Identified twist overlap after time evolution across multiple disorder realizations as a viable MBL detection method.

Conclusions:

  • Quantum computing approaches offer a practical pathway for detecting many-body localization.
  • Twist overlap, measured via qubit states after time evolution, is a promising observable for MBL detection in quantum devices.