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Paper 1
Holstein Primakoff spin codes for local and collective noise
Sivaprasad Omanakuttan, Tyler Thurtell, Andrew K. Forbes, Vikas Buchemmavari, Ben Q. Baragiola
- Year
- 2026
- Journal
- arXiv preprint
- DOI
- arXiv:2601.17592
- arXiv
- 2601.17592
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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Demonstration of high-fidelity entangled logical qubits using transmons.
Vezvaee A, Tripathi V, Morford-Oberst M, Butt F, Kasatkin V, Lidar DA.
- Year
- 2026
- Journal
- Nat Commun
- DOI
- 10.1038/s41467-026-70011-3
- arXiv
- -
No abstract.
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