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An Integrated Hierarchical Dynamic Quantum Secret Sharing Protocol

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Abstract

Generalizing the notion of dynamic quantum secret sharing (DQSS), a simplified protocol for hierarchical dynamic quantum secret sharing (HDQSS) is proposed and it is shown that the protocol can be implemented using any existing protocol of quantum key distribution, quantum key agreement or secure direct quantum communication. The security of this proposed protocol against eavesdropping and collusion attacks is discussed with specific attention towards the issues related to the composability of the subprotocols that constitute the proposed protocol. The security and qubit efficiency of the proposed protocol is also compared with that of other existing protocols of DQSS. Further, it is shown that it is possible to design a semi-quantum protocol of HDQSS and in principle, the protocols of HDQSS can be implemented using any quantum state. It is also noted that the completely orthogonal-state-based realization of HDQSS protocol is possible and that HDQSS can be experimentally realized using a large number of alternative approaches.

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Notes

  1. All bi-partite QKD protocols are composable [37], but we prefer BB84 over other protocols because in case of BB84 clear proof of unconditional security [39] and strict upper limit of the tolerable noise is known.

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Acknowledgments

A. P. thanks the Department of Science and Technology (DST), India, for the support provided through DST project No. SR/S2/LOP-0012/2010.

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Authors and Affiliations

  1. University School of Basic and Applied Sciences, GGS Indraprastha University, Sector 16C, Dwarka, New Delhi, 110075, India

    Sandeep Mishra & Anu Venugopalan

  2. Jaypee Institute of Information Technology, A-10, Sector-62, Noida, UP, 201307, India

    Chitra Shukla & Anirban Pathak

  3. Poornaprajna Institute of Scientific Research, Sadashivnagar, Bengaluru, 560080, India

    R. Srikanth

  4. Raman Research Institute, Sadashivnagar, Bengaluru, 560060, India

    R. Srikanth

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  1. Sandeep Mishra
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  2. Chitra Shukla
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  4. R. Srikanth
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  5. Anu Venugopalan
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Correspondence to Anirban Pathak.

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Mishra, S., Shukla, C., Pathak, A. et al. An Integrated Hierarchical Dynamic Quantum Secret Sharing Protocol. Int J Theor Phys 54, 3143–3154 (2015). https://doi.org/10.1007/s10773-015-2552-z

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