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Fault-tolerant quantum computation with a soft-decision decoder for error correction and detection by teleportation.
Hayato Goto1, Hironori Uchikawa2
1Frontier Research Laboratory, Corporate Research & Development Center, Toshiba Corporation, 1 Komukai Toshiba-cho, Saiwai-ku, Kawasaki-shi, 212-8582, Japan.
Scientific Reports
|June 21, 2013
Summary
We developed a new soft-decision decoder for quantum error correction, significantly improving fault-tolerant quantum computation resource efficiency. This breakthrough enhances quantum computing
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Error Correction
Background:
- Fault-tolerant quantum computation relies on quantum error-correcting codes.
- Significant challenges remain in resource requirements for quantum error correction.
Purpose of the Study:
- To propose a novel soft-decision decoder for quantum error correction and detection via teleportation.
- To improve the performance and reduce resource overhead of fault-tolerant quantum computation schemes.
Main Methods:
- Developed a soft-decision decoder tailored for quantum error correction and detection by teleportation.
- Applied the new decoder to Knill's C4/C6 scheme, a leading fault-tolerant quantum computation protocol.
Main Results:
- The proposed decoder achieves near-optimal performance for depolarizing channels.
- Significant performance enhancement and dramatic resource reduction were observed when applied to Knill's C4/C6 scheme.
Conclusions:
- The soft-decision decoder offers a substantial improvement for fault-tolerant quantum computation.
- This advancement addresses critical resource limitations in current quantum computing architectures.
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