Holstein Primakoff spin codes for local and collective noise
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914297841451008 |
|---|---|
| author | Omanakuttan, Sivaprasad Thurtell, Tyler Forbes, Andrew K. Buchemmavari, Vikas Baragiola, Ben Q. |
| author_facet | Omanakuttan, Sivaprasad Thurtell, Tyler Forbes, Andrew K. Buchemmavari, Vikas Baragiola, Ben Q. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17592 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Holstein Primakoff spin codes for local and collective noise Omanakuttan, Sivaprasad Thurtell, Tyler Forbes, Andrew K. Buchemmavari, Vikas Baragiola, Ben Q. Quantum Physics Statistical Mechanics Atomic Physics 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. |
| title | Holstein Primakoff spin codes for local and collective noise |
| topic | Quantum Physics Statistical Mechanics Atomic Physics |
| url | https://arxiv.org/abs/2601.17592 |