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Device-independent quantum secure direct communication under non-Markovian quantum channels

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Abstract

Device-independent quantum secure direct communication (DI-QSDC) is a promising primitive in quantum cryptography aimed towards addressing the problems of device imperfections and key management. However, significant effort is required to tackle practical challenges such as the distance limitation due to the decohering effects of quantum channels. Here, we explore the constructive effect of non-Markovian noise to improve the performance of DI-QSDC. Considering two different environmental dynamics modelled by the amplitude dam** and the dephasing channels, we show that for both cases non-Markovianty leads to a considerable improvement over Markovian dynamics in terms of three benchmark performance criteria of the DI-QSDC task. Specifically, we find that non-Markovian noise (i) enhances the protocol security measured by Bell violation, (ii) leads to a lower quantum bit error rate, and (iii) enables larger communication distances by increasing the capacity of secret communication.

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Acknowledgements

SB and ASM acknowledge support from the Project No. DST/ICPS/QuEST/2018/98 from the Department of Science and Technology, Government of India. SG acknowledges the support from QuNu Labs Pvt Ltd and OIST, Japan.

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  1. S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata, 700 098, India

    Pritam Roy, Subhankar Bera & A. S. Majumdar

  2. Okinawa Institute of Science and Technology Graduate University, Okinawa, Japan

    Shashank Gupta

  3. QuNu Labs Pvt. Ltd., M. G. Road, Bengaluru, Karnataka, 560025, India

    Shashank Gupta

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Pritam Roy, Subhankar Bera, and Shashank Gupta wrote the main manuscript text. Pritam Roy prepared figures. All authors reviewed the manuscript.

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Roy, P., Bera, S., Gupta, S. et al. Device-independent quantum secure direct communication under non-Markovian quantum channels. Quantum Inf Process 23, 170 (2024). https://doi.org/10.1007/s11128-024-04397-8

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