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arXiv · 2601.17592

Holstein Primakoff spin codes for local and collective noise

Sivaprasad Omanakuttan·Tyler Thurtell·Andrew K. Forbes·Vikas Buchemmavari·Ben Q. Baragiola
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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.

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Sivaprasad Omanakuttan, Tyler Thurtell, Andrew K. Forbes, Vikas Buchemmavari, Ben Q. Baragiola. 2026-01-24. Holstein Primakoff spin codes for local and collective noise. https://arxiv.org/abs/2601.17592

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