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Error-Resilience Phase Transitions in Encoding-Decoding Quantum Circuits.

Xhek Turkeshi1,2, Piotr Sierant3

  • 1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany.

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This summary is machine-generated.

We discovered a phase transition in quantum systems where increasing error strength shifts from error protection to vulnerability. This finding impacts quantum information processing and understanding error dynamics.

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Area of Science:

  • Quantum Information Science
  • Many-Body Physics
  • Quantum Error Correction

Background:

  • Understanding information degradation in quantum systems is crucial for developing robust quantum technologies.
  • Errors, both coherent and incoherent, pose significant challenges to maintaining quantum information fidelity.

Purpose of the Study:

  • To investigate the impact of local coherent and incoherent errors on encoding-decoding random circuits.
  • To identify critical points and phase transitions in many-body quantum systems under error influence.

Main Methods:

  • Analytical investigation of random circuits with local error models.
  • Analysis of phase transitions using Rényi entropy and multifractal properties.

Main Results:

  • Demonstrated an analytical phase transition from an error-protecting to an error-vulnerable phase with increasing error strength.
  • Observed associated transitions in Rényi entropy and the emergence of multifractal features.

Conclusions:

  • The study provides a new framework for understanding error dynamics and phase transitions in quantum many-body systems.
  • Results offer insights into improved strategies for storing and processing quantum information, enhancing quantum technology development.