Fast offline decoding with local message-passing automata
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909849959268352 |
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| author | Lake, Ethan |
| author_facet | Lake, Ethan |
| contents | We present a local offline decoder for topological codes that operates according to a parallelized message-passing framework. The decoder works by passing messages between anyons, with the contents of received messages used to move nearby anyons towards one another. We prove the existence of a threshold, and show that in a system of linear size $L$, decoding terminates with an $O((\log L)^η)$ average-case runtime, where $η$ is a small constant. For the toric code subject to i.i.d Pauli noise, our decoder has $η=1$ and a threshold at a noise strength of $p_c\approx 7.3\%$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03266 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fast offline decoding with local message-passing automata Lake, Ethan Quantum Physics Statistical Mechanics Strongly Correlated Electrons Cellular Automata and Lattice Gases We present a local offline decoder for topological codes that operates according to a parallelized message-passing framework. The decoder works by passing messages between anyons, with the contents of received messages used to move nearby anyons towards one another. We prove the existence of a threshold, and show that in a system of linear size $L$, decoding terminates with an $O((\log L)^η)$ average-case runtime, where $η$ is a small constant. For the toric code subject to i.i.d Pauli noise, our decoder has $η=1$ and a threshold at a noise strength of $p_c\approx 7.3\%$. |
| title | Fast offline decoding with local message-passing automata |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons Cellular Automata and Lattice Gases |
| url | https://arxiv.org/abs/2506.03266 |