DOE OSTI · 3376336
Constant-Overhead Fault-Tolerant Bell-Pair Distillation Using High-Rate Codes
Abstract
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 ∼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 unencoding 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.
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Bonilla Ataides, J. Pablo [Harvard Univ., Cambridge, MA (United States)] (ORCID:0000000155187907), Zhou, Hengyun [QuEra Computing Incorporated, Boston, MA (United States)] (ORCID:0000000221488856), Xu, Qian [California Institute of Technology (CalTech), Pasadena, CA (United States)], Baranes, Gefen [Harvard Univ., Cambridge, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)] (ORCID:0000000259202972), Li, Bikun [Univ. of Chicago, IL (United States)] (ORCID:0000000150443131), Lukin, Mikhail D. [Harvard Univ., Cambridge, MA (United States)], Jiang, Liang [Univ. of Chicago, IL (United States)] (ORCID:0000000200009342). 2025-09-25. Constant-Overhead Fault-Tolerant Bell-Pair Distillation Using High-Rate Codes. https://doi.org/10.1103/s39k-r2kq
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