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Domain Wall Color Code
Konstantin Tiurev1, Arthur Pesah2, Peter-Jan H S Derks3
1HQS Quantum Simulations GmbH, Rintheimer Strasse 23, 76131 Karlsruhe, Germany.
Physical Review Letters
|September 27, 2024
Summary
We developed a new quantum error-correcting code with high error thresholds for biased noise. This domain wall color code offers resource efficiency for realistic quantum computing applications.
Area of Science:
- Quantum Information Science
- Quantum Error Correction
- Condensed Matter Theory
Background:
- Quantum error correction is crucial for fault-tolerant quantum computing.
- Biased noise poses a significant challenge for existing quantum codes.
- Color codes offer a flexible framework for designing quantum error-correcting codes.
Purpose of the Study:
- Introduce a novel quantum error-correcting code, the domain wall color code.
- Investigate its performance under biased noise conditions.
- Assess its suitability for practical implementation in quantum systems.
Main Methods:
- Developed a new variant of the quantum color code incorporating domain walls.
- Analyzed the code's behavior in both infinite and finite bias regimes.
- Designed a scalable restriction decoder utilizing a matching algorithm.
Main Results:
- The domain wall color code achieves high code-capacity error thresholds for biased noise.
- In the infinite bias limit, it decouples to repetition codes with a 50% threshold.
- At finite bias, it matches the performance of the XZZX surface code for Pauli noise.
Conclusions:
- The domain wall color code is a resource-efficient quantum error-correcting code.
- It demonstrates exceptional performance against realistic, biased noise channels.
- The code is highly suitable for practical implementation in quantum computing architectures.
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