Optimized entanglement-assisted quantum error correction

2010/08/31 by Soraya Taghavi, Todd A. Brun, Daniel A. Lidar · 9 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Amplitude damping channel #Artificial intelligence #Channel (broadcasting) #Class (philosophy) #Computer science #Error detection and correction #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum capacity #Quantum channel #Quantum entanglement #Quantum error correction #Quantum information #Quantum mechanics #Quantum network #Quantum teleportation #Telecommunications #cond-mat.other #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physreva.82.042321

published in Physical Review A 82(4) (American Physical Society) · 9 pages, 5 figures

arxiv created 2010/08/31 · openalex publication_date 2010/10/20 · arxiv updated 2010/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using convex optimization, we propose entanglement-assisted quantum error-correction procedures that are optimized for given noise channels. We demonstrate through numerical examples that such an optimized error-correction method achieves higher channel fidelities than existing methods. This improved performance, which leads to perfect error correction for a larger class of error channels, is interpreted in at least some cases by quantum teleportation, but for general channels this interpretation does not hold.

Citations

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