Holstein Primakoff spin codes for local and collective noise
Quantum Physics
2026-02-03 v2 Statistical Mechanics
Atomic Physics
Abstract
Quantum error correction is essential for fault-tolerant quantum computation, yet most existing codes rely on local control and stabilizer measurements that are difficult to implement in systems dominated by collective interactions. Inspired by spin-GKP codes in PhysRevA.108.022428, we develop a general framework for Holstein-Primakoff spin codes, which maps continuous-variable bosonic codes onto permutation-symmetric spin ensembles via the Holstein-Primakoff approximation. We show that HP codes are robust to both collective and local-spin noise and propose an explicit measurement-free local error recovery procedure to map local noise into correctable collective-spin errors.
Keywords
Cite
@article{arxiv.2601.17592,
title = {Holstein Primakoff spin codes for local and collective noise},
author = {Sivaprasad Omanakuttan and Tyler Thurtell and Andrew K. Forbes and Vikas Buchemmavari and Ben Q. Baragiola},
journal= {arXiv preprint arXiv:2601.17592},
year = {2026}
}
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