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Paper 1
Noisy-Syndrome Decoding of Hypergraph Product Codes
Venkata Gandikota, Elena Grigorescu, Vatsal Jha, S. Venkitesh
- Year
- 2025
- Journal
- arXiv preprint
- DOI
- arXiv:2510.07602
- arXiv
- 2510.07602
Hypergraph product codes are a prototypical family of quantum codes with state-of-the-art decodability properties. Recently, Golowich and Guruswami (FOCS 2024) showed a reduction from quantum decoding to syndrome decoding for a general class of codes, which includes hypergraph product codes. In this work we consider the "noisy" syndrome decoding problem for hypergraph product codes, and show a similar reduction in the noisy setting, addressing a question posed by Golowich and Guruswami. Our results hold for a general family of codes wherein the code and the dual code are "simultaneously nice"; in particular, for codes admitting good syndrome decodability and whose duals look "similar". These include expander codes, Reed-Solomon codes, and variants.
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Bounds on Atomistic Disorder for Scalable Electron Shuttling
Raphaël J. Prentki, Pericles Philippopoulos, Mohammad Reza Mostaan, Félix Beaudoin
- Year
- 2025
- Journal
- arXiv preprint
- DOI
- arXiv:2510.03113
- arXiv
- 2510.03113
Electron shuttling is emerging as a key enabler of scalable silicon spin-qubit quantum computing, but fidelities are limited by atomistic disorder. We introduce a multiscale simulation framework combining time-dependent finite-element electrostatics and atomistic tight-binding to capture the impact of random alloying and interface roughness on the valley splitting and phase of shuttled electrons. We find that shuttling fidelities are strongly suppressed by interface roughness, with a sharp anomaly near the atomic-layer scale, setting quantitative guidelines to realize scalable shuttling.
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