Holstein Primakoff spin codes for local and collective noise
Sivaprasad Omanakuttan, Tyler Thurtell, Andrew K. Forbes, Vikas Buchemmavari, and Ben Q. Baragiola
TL;DR
This paper introduces Holstein-Primakoff spin codes that map bosonic codes onto spin ensembles, providing a robust error correction method suitable for systems with collective interactions, and offers a measurement-free recovery process.
Contribution
It develops a general framework for Holstein-Primakoff spin codes, extending quantum error correction to collective-spin systems with a novel recovery procedure.
Findings
HP codes are robust to collective and local-spin noise
Proposed measurement-free local error recovery procedure
Framework inspired by spin-GKP codes
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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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum many-body systems