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An improved quantum network communication model based on compressed tensor network states

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Abstract

Almost currently published quantum key distribution (QKD) protocols are variants of the first protocol proposed by Bennett and Brassard, and the generic entanglement-based protocol. These protocols, however, are not very efficient. An improvement of key generation rate is possible by using quantum many-body systems, and tensor network states provides a compact model for them. The work presents an improved QKD protocol, which first uses partial isometries to compress a matrix product state (MPS) \(|\Psi \rangle \) into its compressed MPS \(|\Psi ^{(n)}\rangle \). Then, Alice uses \(|\Psi ^{(n)}\rangle \) to communicate with Bob via a quantum channel. Next, Alice transmits the number of compressed operations to Bob via a secure classical channel. Finally, according to the measured results, Alice and Bob share a cryptographic key from the MPS \(|\Psi \rangle \). Our protocol can obtain a higher key generation capability and a longer communication distance. We apply the flow network model to obtain the upper bound of the dimension of the geometric index.

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Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

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Acknowledgements

Qiang Zhang and Hong Lai have been been supported by the National Natural Science Foundation of China (No. 61702427) and the Fundamental Research Funds for the Central Universities (XDJK2020B027), the Venture & Innovation Support Program for Chongqing Overseas Returnees (No. cx2018076), and the financial support in part by the 1000-Plan of Chongqing by Southwest University (No. SWU116007). Josef Pieprzyk has been supported by Australian Research Council (ARC) Grant DP180102199 and Polish National Science Center (NCN) Grant 2018/31/B/ST6/03003.

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Authors and Affiliations

  1. School of Computer and Information Science, Southwest University, Chongqing, 400715, China

    Qiang Zhang & Hong Lai

  2. Data61, CSIRO, Sydney, NSW, 2122, Australia

    Josef Pieprzyk

  3. Institute of Computer Science, Polish Academy of Sciences, 01-248, Warsaw, Poland

    Josef Pieprzyk

  4. School of Information Technology, Deakin University, 3220, Geelong, VIC, Australia

    Lei Pan

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  1. Qiang Zhang
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Correspondence to Hong Lai.

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Zhang, Q., Lai, H., Pieprzyk, J. et al. An improved quantum network communication model based on compressed tensor network states. Quantum Inf Process 21, 253 (2022). https://doi.org/10.1007/s11128-022-03609-3

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