Quantum Error Correction Networks via Complementary Information Encoding
Jincheng Zhang
Abstract
This paper investigates a novel approach to quantum error correction within a network architecture, termed complementary information encoding. The core claim is that by utilizing complementary encoding strategies leveraging quantum entanglement, it's possible to achieve non-local error correction, moving beyond the limitations of purely local, neighboring-node correction schemes. The proposed mechanism involves designing an encoding protocol that distributes redundant information across the network via quantum entanglement, significantly expanding the coverage and efficiency of the error correction process. This approach fundamentally shifts from local reliance to global error detection, inherently increasing the network's overall error tolerance. We detail the mathematical framework and theoretical considerations underpinning this new strategy, focusing on the key parameters influencing its performance. The presented method offers a potentially more robust and scalable solution for quantum information transmission and storage compared to conventional local error correction techniques.