Constant-Overhead Fault-Tolerant Bell-Pair Distillation using High-Rate Codes
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arXiv
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| Format: | Preprint |
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2025
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| author | Ataides, J. Pablo Bonilla Zhou, Hengyun Xu, Qian Baranes, Gefen Li, Bikun Lukin, Mikhail D. Jiang, Liang |
| author_facet | Ataides, J. Pablo Bonilla Zhou, Hengyun Xu, Qian Baranes, Gefen Li, Bikun Lukin, Mikhail D. Jiang, Liang |
| contents | We present a fault-tolerant Bell-pair distillation scheme achieving constant overhead through high-rate quantum low-density parity-check (qLDPC) codes. Our approach maintains a constant distillation rate equal to the code rate while requiring no additional overhead beyond the physical qubits of the code. Full circuit-level analysis demonstrates fault-tolerance for input Bell pair infidelities below a threshold $\sim 10\%$, readily achievable with near-term capabilities. Unlike previous proposals, our scheme keeps the output Bell pairs encoded in qLDPC codes at each node, eliminating un-encoding overhead and enabling direct use in distributed quantum applications through recent advances in qLDPC computation. These results establish qLDPC-based distillation as a practical route toward resource-efficient quantum networks and distributed quantum computing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09542 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constant-Overhead Fault-Tolerant Bell-Pair Distillation using High-Rate Codes Ataides, J. Pablo Bonilla Zhou, Hengyun Xu, Qian Baranes, Gefen Li, Bikun Lukin, Mikhail D. Jiang, Liang Quantum Physics We present a fault-tolerant Bell-pair distillation scheme achieving constant overhead through high-rate quantum low-density parity-check (qLDPC) codes. Our approach maintains a constant distillation rate equal to the code rate while requiring no additional overhead beyond the physical qubits of the code. Full circuit-level analysis demonstrates fault-tolerance for input Bell pair infidelities below a threshold $\sim 10\%$, readily achievable with near-term capabilities. Unlike previous proposals, our scheme keeps the output Bell pairs encoded in qLDPC codes at each node, eliminating un-encoding overhead and enabling direct use in distributed quantum applications through recent advances in qLDPC computation. These results establish qLDPC-based distillation as a practical route toward resource-efficient quantum networks and distributed quantum computing. |
| title | Constant-Overhead Fault-Tolerant Bell-Pair Distillation using High-Rate Codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2502.09542 |