Fault-tolerant noise guessing decoding of quantum random codes
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916311426138112 |
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| author | Cruz, Diogo Monteiro, Francisco A. Roque, André Coutinho, Bruno C. |
| author_facet | Cruz, Diogo Monteiro, Francisco A. Roque, André Coutinho, Bruno C. |
| contents | 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 ($\pth$) of approximately $\pnum$ in the asymptotic limit, while considering realistic noise levels in the mentioned physical procedures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01658 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fault-tolerant noise guessing decoding of quantum random codes Cruz, Diogo Monteiro, Francisco A. Roque, André Coutinho, Bruno C. Quantum Physics Information Theory 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 ($\pth$) of approximately $\pnum$ in the asymptotic limit, while considering realistic noise levels in the mentioned physical procedures. |
| title | Fault-tolerant noise guessing decoding of quantum random codes |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2407.01658 |