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Efficient Quantum Error Correction of Dephasing Induced by a Common Fluctuator.
David Layden1,2, Mo Chen1,3, Paola Cappellaro1,2
1Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Physical Review Letters
|February 1, 2020
Summary
New quantum error correction codes dramatically reduce qubit overhead, making them ideal for near-term quantum devices. These hardware-efficient codes offer significant error suppression against common noise sources.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Error Correction
Background:
- Large-scale quantum technologies rely on quantum error correction.
- High qubit overhead limits practical application in near-term devices.
- Phase noise from common fluctuators is a key decoherence source.
Purpose of the Study:
- Introduce novel quantum error-correcting codes.
- Achieve exponential reduction in qubit overhead.
- Enable quantum error correction in smaller, near-term quantum devices.
Main Methods:
- Developed a new family of special-purpose quantum error-correcting codes.
- Tailored codes for phase noise from common fluctuators.
- Demonstrated correction to leading-order with minimal operations.
Main Results:
- Achieved exponential reduction in qubit overhead compared to repetition codes.
- Smallest code instance uses two physical qubits for one logical qubit.
- Codes correct errors to order t^{O(2^{n})}, outperforming repetition codes.
- Demonstrated robustness to model imperfections and substantial error suppression.
Conclusions:
- Hardware-efficient codes enable useful quantum error correction in pre-fault tolerant devices.
- These codes offer a pathway for near-term quantum technology advancements.
- Reduced overhead makes quantum error correction more accessible for smaller devices.
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