2006/10/05 by Alireza Shabani, A. Shabani, Daniel A. Lidar +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Numerical Methods and Algorithms #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0610028
This paper has been withdrawn as it has been superseded by arXiv:0808.0175 and arXiv:0902.2478
openalex publication_date 2006/10/05 · arxiv created 2009/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By introducing an operator sum representation for arbitrary linear maps, we develop a generalized theory of quantum error correction (QEC) that applies to any linear map, in particular maps that are not completely positive (CP). This theory of "linear quantum error correction" is applicable in cases where the standard and restrictive assumption of a factorized initial system-bath state does not apply.