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Updated: Sep 20, 2025
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
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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.
Nature
|May 26, 2025
Summary
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.
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.
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