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Optimizing Stabilizer Parities for Improved Logical Qubit Memories.

Dripto M Debroy1, Laird Egan2, Crystal Noel1,2,3

  • 1Department of Physics, Duke University, Durham, North Carolina 27708, USA.

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Summary
This summary is machine-generated.

We developed Shor code variants to combat correlated idling errors in quantum computers. These variants achieve performance comparable to classical repetition codes, significantly improving qubit coherence times.

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Area of Science:

  • Quantum Information Science
  • Quantum Error Correction
  • Quantum Computing

Background:

  • Correlated single-axis idling errors are prevalent in quantum systems, degrading qubit performance.
  • Shor's code, a foundational quantum error-correcting code, requires adaptation for specific error types.
  • Improving qubit coherence (T2*) is crucial for advancing quantum computation.

Purpose of the Study:

  • To investigate Shor code variants tailored for single-axis correlated idling errors.
  • To enhance the robustness of quantum information against common noise sources.
  • To demonstrate practical improvements in qubit performance using these variants.

Main Methods:

  • Analyzing Shor code basis states and their response to correlated idling errors.
  • Calculating the logical channel under coherent error conditions.
  • Modifying stabilizer generator signs to control error interference.
  • Implementing a distance-3 logical qubit on a trapped-ion quantum computer.

Main Results:

  • A novel quantum error-correcting code performing comparably to classical repetition codes of equivalent distance.
  • A demonstrated 3.78±1.20 improvement in logical T2* for a distance-3 logical qubit.
  • Identification of even-distance Shor code variants as decoherence-free subspaces robust to idling noise.

Conclusions:

  • Shor code variants offer effective protection against single-axis correlated idling errors.
  • The modified codes provide a practical pathway to enhance quantum qubit coherence and reliability.
  • Decoherence-free properties of even-distance variants present opportunities for fault-tolerant quantum computing.