Measurement-device-independent quantum-secret-sharing networks with linear Bell-state analysis
Abstract: Quantum secret sharing (QSS) plays a pivotal role in multiparty quantum communication, ensuring the secure distribution of private information among multiple parties. However, the security of QSS schemes can be compromised by attacks exploiting imperfections in measurement devices. Here, we propose a reconfigurable approach to implement QSS based on measurement-device-independent (MDI) principles, utilizing linear two-photon Bell state analysis.By employing single-qubit conjugate operations for encoding private classical information, our approach offers reconfigurability, allowing for the inclusion of additional parties without sacrificing efficiency. Furthermore, we demonstrate the robust security of our MDI-QSS scheme against inter-eavesdropping by dishonest participants and establish lower bounds for secure communication among three legitimate parties. This work presents a flexible configuration for implementing multiparty secure quantum communication with imperfect measurement devices and represents a significant advancement in the development of secure quantum communication technologies.
- N. Gisin and R. Thew, Quantum communication, Nature Photon. 1, 165 (2007).
- H.-K. Lo, M. Curty, and K. Tamaki, Secure quantum key distribution, Nature Photon. 8, 595 (2014).
- F. Del Santo and B. Dakić, Two-way communication with a single quantum particle, Phys. Rev. Lett. 120, 060503 (2018).
- G.-L. Long and X.-S. Liu, Theoretically efficient high-capacity quantum-key-distribution scheme, Phys. Rev. A 65, 032302 (2002).
- F.-G. Deng, G. L. Long, and X.-S. Liu, Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block, Phys. Rev. A 68, 042317 (2003).
- L. Zhou, Y.-B. Sheng, and G.-L. Long, Device-independent quantum secure direct communication against collective attacks, Sci. Bull. 65, 12 (2020a).
- T. Li and G.-L. Long, Quantum secure direct communication based on single-photon Bell-state measurement, New J. Phys. 22, 063017 (2020).
- Y. B. Sheng, L. Zhou, and G. L. Long, One-step quantum secure direct communication, Sci. Bull. 67, 367 (2022).
- Y.-A. Chen et al., An integrated space-to-ground quantum communication network over 4,600 kilometres, Nature 589, 214 (2021).
- S. Wang et al., Twin-field quantum key distribution over 830-km fibre, Nature Photon. 16, 154 (2022a).
- W. Li et al., High-rate quantum key distribution exceeding, Nature Photon. 17, 416 (2023a).
- M. Hillery, V. Buzek, and A. Berthiaume, Quantum secret sharing, Phys. Rev. A 59, 1829 (1999).
- A. Karlsson, M. Koashi, and N. Imoto, Quantum entanglement for secret sharing and secret splitting, Phys. Rev. A 59, 162 (1999).
- R. Cleve, D. Gottesman, and H.-K. Lo, How to share a quantum secret, Phys. Rev. Lett. 83, 648 (1999).
- Z.-J. Zhang, Y. Li, and Z.-X. Man, Multiparty quantum secret sharing, Phys. Rev. A 71, 044301 (2005).
- Z. J. Zhang and Z. X. Man, Multiparty quantum secret sharing of classical messages based on entanglement swapping, Phys. Rev. A 72, 022303 (2005).
- T. Gao, F.-L. Yan, and Z.-X. Wang, Controlled quantum teleportation and secure direct communication, Chin. Phys. 14, 893 (2005a).
- T. Gao, F.-L. Yan, and Z.-X. Wang, Deterministic secure direct communication using GHZ states and swapping quantum entanglement, J. Phys. A 38, 5761 (2005b).
- M. Habibidavijani and B. C. Sanders, Continuous-variable ramp quantum secret sharing with Gaussian states and operations, New J. Phys. 21, 113023 (2019).
- X. D. Wu, Y. J. Wang, and D. Huang, Passive continuous-variable quantum secret sharing using a thermal source, Phys. Rev. A 101, 022301 (2020).
- H.-K. Lo, M. Curty, and B. Qi, Measurement-device-independent quantum key distribution, Phys. Rev. Lett. 108, 130503 (2012).
- S. L. Braunstein and S. Pirandola, Side-channel-free quantum key distribution, Phys. Rev. Lett. 108, 130502 (2012).
- X. F. Ma and M. Razavi, Alternative schemes for measurement-device-independent quantum key distribution, Phys. Rev. A 86, 062319 (2012).
- T. Li, Z. Gao, and Z. Li, Measurement-device-independent quantum secure direct communication: Direct quantum communication with imperfect measurement device and untrusted operator, EPL 131, 60001 (2020).
- Z. Gao, T. Li, and Z. Li, Long-distance measurement-device–independent quantum secure direct communication, EPL 125, 40004 (2019).
- Z. Gao, T. Li, and Z. Li, Deterministic measurement-device-independent quantum secret sharing, Sci. China-Phys. Mech. Astron. 63, 120311 (2020).
- W.-Q. Liu, H.-R. Wei, and L.-C. Kwek, Universal quantum multi-qubit entangling gates with auxiliary spaces, Adv. Quantum Technol. 5, 2100136 (2022).
- H. Zhou, T. Li, and K. Xia, Parallel and heralded multiqubit entanglement generation for quantum networks, Phys. Rev. A 107, 022428 (2023).
- Y.-B. Sheng, F.-G. Deng, and G. L. Long, Complete hyperentangled-Bell-state analysis for quantum communication, Phys. Rev. A 82, 032318 (2010).
- B.-C. Ren, F.-F. Du, and F.-G. Deng, Hyperentanglement concentration for two-photon four-qubit systems with linear optics, Phys. Rev. A 88, 012302 (2013).
- M. K. Bhaskar et al., Experimental demonstration of memory-enhanced quantum communication, Nature 580, 60 (2020).
- J.-W. Pan and A. Zeilinger, Greenberger-Horne-Zeilinger-state analyzer, Phys. Rev. A 57, 2208 (1998).
- C.-Y. Lu, T. Yang, and J.-W. Pan, Experimental multiparticle entanglement swapping for quantum networking, Phys. Rev. Lett. 103, 020501 (2009).
- G. Avis, F. Rozpȩdek, and S. Wehner, Analysis of multipartite entanglement distribution using a central quantum-network node, Phys. Rev. A 107, 012609 (2023).
- A. Reiserer and G. Rempe, Cavity-based quantum networks with single atoms and optical photons, Rev. Mod. Phys. 87, 1379 (2015).
- A. S. Holevo, Bounds for the quantity of information transmitted by a quantum communication channel, Probl. Peredachi Inf. 9, 3 (1973).
- C. M. Knaut et al., Entanglement of nanophotonic quantum memory nodes in a telecom network, Nature 629, 573 (2024).
- H. Azuma, W. J. Munro, and K. Nemoto, Heralded single-photon source based on superpositions of squeezed states, Phys. Rev. A 109, 053711 (2024).
- R. Jozsa and J. Schlienz, Distinguishability of states and von neumann entropy, Phys. Rev. A 62, 012301 (2000).
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