AI & Computational Science

Efficient foundation decoders for fault-tolerant quantum computing

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This paper introduces Neural Transfer Unification (NTU), a framework for training neural network decoders that enable fault-tolerant quantum computing by efficiently correcting errors across different code sizes. The researchers demonstrate that their NTU-Transformer decoder can learn error correction patterns from smaller quantum codes and transfer this knowledge to larger codes, outperforming existing decoding methods on planar surface codes up to distance 25 and bivariate bicycle codes. This approach significantly reduces the computational cost of training decoders for large-scale quantum computers by leveraging algebraic structures common to scalable quantum error correction codes.


Efficient error correction is critical for building practical quantum computers, and this work addresses a major scalability bottleneck in decoder training. By enabling knowledge transfer across code sizes, the framework could accelerate the development of fault-tolerant quantum processors capable of running useful algorithms.


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arXiv:2606.27119v1 Announce Type: cross
Abstract: Foundation decoders, a class of high-capacity neural decoders, are leading candidates for fault-tolerant quantum computing, with accurate and efficient decoding at large code distances. However, their construction often faces a steep scaling barrier, as larger code distances rapidly amplify the cost of syndrome generation and neural optimization. To address this bottleneck, here we devise neural transfer unification (NTU), a unified framework for efficient foundation decoders. A central feature of NTU is its ability to align decoding tasks across code distances via algebraic structures shared by scalable code families, which enables knowledge learned on smaller codes to accelerate large-scale decoder training. We instantiate NTU as NTU-Transformer, a transformer-based neural decoder tailored for planar surface codes and bivariate bicycle codes. For planar surface codes under circuit-level noise, NTU-Transformer outperforms correlation-aware matching on the $[![361,1,19]!]$ code and further scales to the $[![625,1,25]!]$ code, where it exceeds standard matching through transfer adaptation. For the bivariate bicycle code with $[![72,12,6]!]$, it surpasses Relay-BP in the low-physical-error regime. These results establish our proposal as a scalable route to amortized cross-distance training of foundation decoders for fault-tolerant quantum processors.

Source: Efficient foundation decoders for fault-tolerant quantum computing