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Bosonic Continuous Variable Quantum Computing Quantum Error Correction Fault Tolerance

Holstein Primakoff spin codes for local and collective noise

arXiv
Authors: Sivaprasad Omanakuttan, Tyler Thurtell, Andrew K. Forbes, Vikas Buchemmavari, Ben Q. Baragiola

Year

2026

Paper ID

3387

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

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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  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.17592 [2] arXiv https://arxiv.org/abs/2601.17592 [3] Publisher https://arxiv.org/abs/2601.17592

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