Correcting Quantum Errors In Higher Spin Systems

1996/10/31 by H. F. Chau · 2 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1103/physreva.55.r839

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arxiv created 1996/12/01 · openalex publication_date 1997/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I consider the theory of quantum error correcting code (QECC) where each quantum particle has more than two possible eigenstates. In this higher spin system, I report an explicit QECC that is related to the symmetry group \Bbb Z₂^{⊗ (N-1)} ⊗ S_N. This QECC, which generalizes Shor's simple majority vote code, is able to correct errors arising from exactly one quantum particle. I also provide a simple encoding algorithm.

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