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    Entanglement-enhanced quantum error-correcting codes

    Ying Dong (董莹)1,*, Xiuhao Deng (邓修豪)1, Mingming Jiang (姜明明)1, Qing Chen (陈清)1,2, and Sixia Yu (郁司夏)1,2,†

    • 1Department of Modern Physics and Hefei National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China, Hefei 230026, People’s Republic of China
    • 2Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542, Singapore

    • *yingdong@mail.ustc.edu.cn
    • †yusixia@ustc.edu.cn

    Phys. Rev. A 79, 042342 – Published 30 April, 2009

    DOI: https://doi.org/10.1103/PhysRevA.79.042342

    Abstract

    Via explicit examples we show that the pre-existing entanglement can really enhance (not only behave as an assistance for) the efficiency of the quantum error-correcting codes (QECCs) in a single block of encoding or decoding as well as help in beating the quantum Hamming bound. A systematic approach to constructing entanglement-assisted (or enhanced) quantum error-correcting codes (EAQECCs) via graph states is also presented, and an infinite family of entanglement-enhanced codes has been constructed. Furthermore we generalize the EAQECCs to the case of not-so-perfectly protected qubit and introduce the quantity infidelity as a figure of merit and show that the EAQECCs also outperform the ordinary QECCs.

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