This work achieves information-theoretically secure QSS both within and across subnetworks, providing a solid technical foundation for the development of scalable and multifunctional quantum networks.
Abstract
Quantum secret sharing (QSS), as a fundamental cryptographic protocol for future quantum networks, continues to face significant challenges, particularly in the generation of multipartite entanglement and the degradation of entanglement fidelity during distribution, both of which severely limit its scalability. These persistent constraints motivate an alternative approach based on continuous-variable (CV) systems. We propose a CVQSS scheme based on an electro-optically modulated optical frequency comb. The scheme employs a single laser to generate multi-wavelength coherent states, enabling the efficient and flexible construction of secret sharing subnetworks. By incorporating a broadcast-based distribution mechanism, the architecture is scalable to 128 players. Experimental verification with 24 players over a 10 km fiber link demonstrates a secret sharing rate of 6.24 per player under asymptotic conditions and 1.27 Mbps per player under finite-size effects, and a 1.05MB image is secretly shared to six players. This work achieves information-theoretically secure QSS both within and across subnetworks, providing a solid technical foundation for the development of scalable and multifunctional quantum networks.
Continuous-variable quantum key distribution is a compelling framework for scalable quantum networks due to its seamless integration with existing optical communication infrastructure. However, a fundamental gap persists between theoretical protocols requiring ideal Gaussian modulation and the constrained, discrete-modulated signals dictated by practical high-speed hardware. Current security proofs for discrete modulation rely on semidefinite programming, which suffers from prohibitive computational overhead for high-order constellations and lacks direct physical insight into non-Gaussian modulation.In this Letter, we overcome this limitation by developing a security framework that obviates semidefinite programming in favor of an approach grounded fundamentally in the Heisenberg uncertainty principle. By introducing a multi-mode entanglement-source model to characterize non-Gaussian state preparation, we establish an explicit mapping between constellation geometry and the secret key rate. This framework effectively quantifies the security implications of hardware-limited, finite state preparation, enabling both numerical and analytical security analysis under high-order constellations. We experimentally validate our method on both discrete-component and integrated photonic platforms, demonstrating that a quadrature amplitude modulation format with 256 constellation points can asymptotically approach the Gaussian capacity limit. Beyond quantum key distribution, the principle of tightening uncertainty-constrained bounds via source-mode expansion offers a paradigm for exploring the information-theoretic properties of complex non-Gaussian systems.
Jiale Mi, Yiming Bian, Song Yu et al.· 0 citations
Quantum secret sharing is a fundamental protocol for securely transmitting quantum as well as classical information. However, in practical quantum communication scenarios, the transmission of quantum information is inevitably influenced by environmental noise. Therefore, in this work, we analyze the robustness of multi‐dimensional quantum secret sharing schemes under four different noise models, namely amplitude damping (ad), depolarizing (d), dit flip (df), and phase flip (dpf). Each model captures a distinct type of quantum disturbance, providing insights into how different noise models affect the fidelity of secret reconstruction. In addition to state‐specific fidelity, we also evaluate the average fidelity over arbitrary pure qutrit secret states using the Haar, equivalently Fubini–Study, measure. This provides a state‐independent robustness indicator and allows a more meaningful comparison of the considered quantum secret sharing schemes when the dealer's secret state is arbitrary. Moreover, we observe that protocols involving a larger number of qudits generally exhibit higher implementation complexity and increased sensitivity to noise. Consequently, the fidelity degrades more rapidly. Moreover, it is observed that the amplitude damping noise shows the highest fidelity across most parameter ranges, suggesting a better preservation of quantum secret.
Quantum cryptography communication encompasses both quantum key distribution (QKD) and the encryption and decryption of plaintext. Continuous-variable QKD (CVQKD) leverages the fundamental principles of physics to enable legitimate parties to share secure keys, while the CVQKD-compatible quantum noise stream cipher (QNSC) exploits quantum fluctuations to further obscure the ciphertext encrypted with these keys. Integrating these two functionalities into a unified system represents a promising developmental trend. However, existing integrated architectures typically rely on multiplexing two separate optical paths and have been demonstrated exclusively over optical fibers. Here, a unified local local oscillator (LLO) quantum cryptography architecture operating over a free-space channel is proposed and experimentally demonstrated. Requiring only simple software-defined switching, our payload-efficient architecture executes both CVQKD and QNSC functionalities utilizing a single optical setup. Over an indoor free-space channel with emulated time-varying atmospheric disturbances, an asymptotic secret key rate of 35.4292 kbps is obtained at a maximum channel attenuation of 19.5054 dB for the CVQKD mode. For the QNSC mode, an encrypted image is successfully transmitted, yielding pixel accuracies of 99.58% and 96.39% under channel attenuations of 10.1690 dB and 12.0620 dB, respectively. This work validates the feasibility of integrated quantum cryptography architectures in complex environments, marking a meaningful step toward constructing payload-constrained quantum communication networks.
Tianxiang Zhan, Peng Huang, Huasheng Li et al.· Chinese Physics Letters· 0 citations
Quantum key distribution (QKD) brings the promise of communication with information-theoretic security but is limited in practice due to its susceptibility to noise, losses, and device imperfections. To address these challenges, we propose a robust high-dimensional (HD) one-sided device-independent QKD (1sDI-QKD) protocol and present a proof-of-principle experimental implementation using photons entangled in the transverse-spatial degree-of-freedom. We develop a systematic security analysis of HD 1sDI-QKD protocols, leveraging quantum steering to certify security, and evaluate achievable secret key rates for different measurement configurations and system dimensions using reverse reconciliation. Our analysis shows that increasing the dimension enhances robustness against both noise and loss. We then demonstrate the key experimental building blocks required for implementing the protocol: (a) a high-quality source of high-dimensional photonic entanglement, and (b) a fully programmable, high-dimensional multi-outcome measurement device operating in up to dimension 11. Using these components, we obtain positive key rates for all investigated dimensions under the fair-sampling assumption, with the highest key rates achieved for dimension d=7. Finally, we discuss the steps required for a practical, loophole-free implementation of 1sDI-QKD in realistic regimes of loss and noise.
Monika Mothsara, Suraj Goel, Bohnishikha Ghosh et al.· 1 citation
Although quantum key distribution (QKD) enables information-theoretically secure key distribution, it is mainly designed for point-to-point communication and cannot directly support multi-user collaborative scenarios. To address this limitation, quantum secret sharing (QSS) has been proposed to enable secure multiparty key sharing. However, most existing QSS protocols rely on a single-input single-output (SISO) channel, which limits the achievable secret key rate (SKR) and transmission distance. This paper proposes a continuous-variable (CV) QSS protocol based on a multiple-input multiple-output (MIMO) architecture operating in the terahertz (THz) band. In the proposed scheme, transmit-receive beamforming decomposes the MIMO channel into multiple parallel SISO subchannels, thereby improving both the SKR and transmission distance. We describe the QSS transmission procedure and derive the SKR expressions for eight protocol variants under Gaussian collective attacks. Specifically, Gaussian modulation and passive modulation are considered at the transmitter, while homodyne and heterodyne detection are considered at the receiver. Both asymptotic and composable finite-size SKR formulas are derived to characterize the ideal upper-bound performance and the achievable performance under finite resources, respectively. Simulation results show that, under ideal assumptions including perfect channel state information, perfect phase synchronization, and ideal beamforming, the Gaussian-modulation protocol with a 32 x 32 antenna configuration and the passive-modulation protocol with a 1024 x 1024 antenna configuration achieve transmission distances of 14.99 m and 160 m in the atmospheric channel, respectively. These results provide an idealized theoretical benchmark for evaluating the potential performance gains of MIMO-assisted THz CV-QSS in indoor and short-range outdoor wireless networks.
Leixin Wu, Jiayu Pan, Fangzhe Chen et al.· 0 citations
Boosting the communication rate of quantum networks is a central challenge in quantum information science. Recently, an efficient entanglement distribution scheme employing quasi-deterministic Bell-pair sources based on time-frequency multiplexing, referred to as zero-added-loss multiplexing~(ZALM), has been proposed. Its implementation, however, requires high-fidelity entanglement swapping across densely multiplexed time-frequency modes, which has remained an experimental challenge. Here we demonstrate entanglement swapping across 16 parallel frequency modes with a high average fidelity of 93.9$\pm$\SI{1.4}{\%}. Notably, polarization-entangled photon pairs in each frequency mode are spectrally single-mode using only off-the-shelf 50-GHz dense wavelength-division multiplexing~(DWDM) filters, eliminating the need for additional narrowband filtering. Furthermore, in order to fully exploit the temporal degree of freedom, the pump pulse is operated with a repetition frequency of \SI{3.0}{GHz}. By combining the frequency and time multiplexing, the total swapping rate reaches 5.38$\pm$0.17\,\si{pairs\,s^{-1}}, which corresponds to the ZALM Bell-pair rate of \SI{8.2e2}{pairs\,s^{-1}}. Our results establish the key experimental capabilities required for ZALM and demonstrate a scalable route toward practical high-rate quantum repeaters and long-haul quantum networks.
Yoshiaki Tsujimoto, Daiki Ichii, Rikizo Ikuta et al.· 0 citations
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