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Related Experiment Video

Updated: May 5, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Quantum self-correction in the 3D cubic code model.

Sergey Bravyi1, Jeongwan Haah

  • 1IBM Watson Research Center, Yorktown Heights, New York 10598, USA.

Physical Review Letters
|December 3, 2013
PubMed
Summary
This summary is machine-generated.

This study provides evidence for self-correcting quantum memory in the 3D cubic code. The quantum spin lattice model demonstrates reliable quantum state storage for extended periods, crucial for quantum information theory.

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Area of Science:

  • Quantum Information Theory
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • A major challenge in quantum information theory is developing self-correcting quantum memory.
  • Such memory could store quantum states reliably for long durations without active error correction.
  • This requires the memory to be in contact with a sufficiently cold thermal bath.

Purpose of the Study:

  • To investigate the self-correcting behavior of the 3D cubic code, a quantum spin lattice model.
  • To determine the feasibility and limitations of self-correcting quantum memory in this model.

Main Methods:

  • Analytic derivations of memory time bounds.
  • Numerical simulations, including Monte Carlo methods.
  • Development of an efficient decoding algorithm for topological stabilizer codes.

Main Results:

  • Analytic and numerical evidence for self-correcting behavior in the 3D cubic code.
  • Established a lower bound for memory time as L(cβ), dependent on lattice size (L) and inverse temperature (β).
  • Identified a critical lattice size limit for this self-correcting behavior, dependent on temperature.

Conclusions:

  • The 3D cubic code exhibits partial self-correcting quantum memory.
  • The analytic bounds on memory time are shown to be tight.
  • The developed decoding algorithm is efficient for topological stabilizer codes.