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Scaling and logic in the colour code on a superconducting quantum processor.

N Lacroix1,2, A Bourassa3, F J H Heras4

  • 1Google Research, Mountain View, CA, USA. nathan.lacroix@phys.ethz.ch.

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|May 26, 2025
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Summary
This summary is machine-generated.

Quantum error correction using the color code on superconducting processors shows promise. This research demonstrates improved logical error suppression and high-fidelity operations, paving the way for fault-tolerant quantum computation.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing Hardware

Background:

  • Quantum error correction is crucial for fault-tolerant quantum computation.
  • Superconducting processors are a leading platform for quantum computing.
  • The surface code has limitations for logical operations, motivating research into alternatives like the color code.

Purpose of the Study:

  • To demonstrate the feasibility and performance of the color code on a superconducting processor.
  • To investigate the scaling properties of the color code with increasing code distance.
  • To assess the potential of the color code for efficient logical operations and universal quantum computation.

Main Methods:

  • Implementation of the color code on a superconducting processor.
  • Scaling experiments by increasing code distance from three to five.
  • Logical randomized benchmarking to test transversal Clifford gates.
  • Magic state injection for universal computation.
  • Lattice surgery for teleporting logical states.

Main Results:

  • Logical errors were suppressed by a factor of 1.56(4) when scaling code distance from three to five.
  • Simulated performance indicates the color code is below its error threshold.
  • Achieved logical state fidelities exceeding 99% for Clifford gates and magic state injection.
  • Successfully teleported logical states between color codes.

Conclusions:

  • The color code is a viable and promising approach for quantum error correction on superconducting processors.
  • The color code demonstrates favorable scaling and potential for surpassing the surface code with device improvements.
  • This work provides a strong foundation for future research towards fault-tolerant quantum computation using the color code.