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Publication Detailed Description
Journal Title
IEEE Transactions on Quantum Engineering
Year (definitive publication)
2025
Language
English
Country
United States of America
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Abstract
This work addresses the open question of implementing fault-tolerant QRLCs with feasible computational overhead. We present a new decoder for quantum random linear codes (QRLCs) capable of dealing with imperfect decoding operations. A first approach, introduced by Cruz et al., only considered channel errors, and perfect gates at the decoder. Here, we analyze the fault-tolerant characteristics of QRLCs with a new noise guessing decoding technique, when considering preparation, measurement, and gate errors in the syndrome extraction procedure, while also accounting for error degeneracy. Our findings indicate a threshold error rate (pthreshold) of approximately 2×10-5 in the asymptotic limit, while considering realistic noise levels in the mentioned physical procedures.
Acknowledgements
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Keywords
Fault-tolerance,Noise guessing decoding,Quantum error correction,Quantum random linear codes,Syndrome extraction
Fields of Science and Technology Classification
- Computer and Information Sciences - Natural Sciences
- Physical Sciences - Natural Sciences
- Civil Engineering - Engineering and Technology
- Electrical Engineering, Electronic Engineering, Information Engineering - Engineering and Technology
- Mechanical Engineering - Engineering and Technology
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UID/50008 | Fundação para a Ciência e a Tecnologia |
| UI/BD/152301/2021 | Fundação para a Ciência e a Tecnologia |
| 2022.05558.PTDC | Fundação para a Ciência e a Tecnologia |
| 820445 | Comissão Europeia |
Contributions to the Sustainable Development Goals of the United Nations
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