2007/03/31 by Alireza Shabani, A. Shabani · 16 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Coding (social sciences) #Computer science #Error detection and correction #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum and electron transport phenomena #Quantum error correction #Quantum mechanics #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.77.022323
published in Physical Review A 77(2) (American Physical Society) · 5 pages, 3 figures. Replaced by the published version. Title changed
openalex publication_date 2008/02/26 · arxiv created 2008/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A formulation for evaluating the performance of quantum error correcting codes for a general error model is presented. In this formulation, the correlation between errors is quantified by a Hamiltonian description of the noise process. We classify correlated errors using the system-bath interaction: local versus nonlocal and two-body versus many-body interactions. In particular, we consider Calderbank-Shor-Steane codes and observe a better performance in the presence of correlated errors depending on the timing of the error recovery. We also find this timing to be an important factor in the design of a coding system for achieving higher fidelities.