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Optica

Twin-field quantum key distribution with optical injection locking and phase encoding on-chip

Han Du, Taofiq K. Paraïso, Mirko Pittaluga, Yuen San Lo, Joseph A. Dolphin, Andrew J. Shields

Published Sep 5, 2024• 19 citations
Publisher

Abstract

Twin-field (TF) quantum key distribution (QKD) has been proved to overcome the linear rate-distance limit of repeaterless quantum communications and has the capability to generate high key rates over long distances compared with other QKD protocols. Photonic integration has proven a promising technique for the large-scale deployment of QKD. While it has been adopted to implement a range of linearly scaling QKD protocols, there is to date no demonstration of TF QKD using photonic integrated chips. One important challenge resides in establishing high coherence between remote laser chips. In this study, we exploit optical injection locking to implement phase dissemination to independent lasers integrated onto photonic circuits and further demonstrate complete phase control on the same chip using electro-optic phase modulators. We achieve high laser coherence between remote transmitter nodes, which lets us demonstrate a quadratic key-rate improvement of the secure key rate beyond 80 dB of channel attenuation. The experimental results are in excellent agreement with the theory in both finite size and asymptotic regimes, in which the fundamental rate-distance limit is overcome. Our work paves the way for the deployment of large-scale TF QKD networks enabled by compact, low-cost, and high-yield chip-based devices.

DOI
10.1364/optica.525743

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Twin-field (TF) quantum key distribution (QKD) has been proved to overcome the linear rate-distance limit of repeaterless quantum communications and has the capability to generate high key rates over long distances compared with other QKD protocols. Photonic integration has proven a promising technique for the large-scale deployment of QKD. While it has been adopted to implement a range of linearly scaling QKD protocols, there is to date no demonstration of TF QKD using photonic integrated chips. One important challenge resides in establishing high coherence between remote laser chips. In this study, we exploit optical injection locking to implement phase dissemination to independent lasers integrated onto photonic circuits and further demonstrate complete phase control on the same chip using electro-optic phase modulators. We achieve high laser coherence between remote transmitter nodes, which lets us demonstrate a quadratic key-rate improvement of the secure key rate beyond 80 dB of channel attenuation. The experimental results are in excellent agreement with the theory in both finite size and asymptotic regimes, in which the fundamental rate-distance limit is overcome. Our work paves the way for the deployment of large-scale TF QKD networks enabled by compact, low-cost, and high-yield chip-based devices.
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Twin-field quantum key distribution (TF-QKD) is recognized as a promising approach to surpass the repeaterless key rate bound, playing a pivotal role in long-distance quantum communication. However, conventional TF-QKD implementations rely on laser coherence, where coherent-state sources differ fundamentally from the non-classical light sources required for future quantum networks. Recent advances demonstrate that quantum dot (QD) sources can generate high-purity coherent single-photon states on demand, exhibiting both perfect antibunching and long coherence times akin to laser source. Here, we propose a six-state TF-QKD protocol utilizing coherent single-photon states, which can be directly achieved through current experimental techniques. Simulation results indicate that our protocol achieves significantly enhanced key rates and extended transmission distances. Moreover, a data size on the order of 108 is sufficient to surpass the repeaterless key rate bound, demonstrating particular robustness against finite-size effects. Our work paves the way for the direct implementation of long-distance quantum key distribution utilizing future quantum network infrastructure.
Twin-field (TF) quantum key distribution (QKD) promises high key rates over long distances to beat the rate-distance limit. Here, applying the sending-or-not-sending TF QKD protocol, we experimentally demonstrate a secure key distribution that breaks the absolute key-rate limit of repeaterless QKD over a 509-km-long ultralow loss optical fiber. Two independent lasers are used as sources with remote-frequency-locking technique over the 500-km fiber distance. Practical optical fibers are used as the optical path with appropriate noise filtering; and finite-key effects are considered in the key-rate analysis. The secure key rate obtained at 509 km is more than seven times higher than the relative bound of repeaterless QKD for the same detection loss. The achieved secure key rate is also higher than that of a traditional QKD protocol running with a perfect repeaterless QKD device, even for an infinite number of sent pulses. Our result shows that the protocol and technologies applied in this experiment enable TF QKD to achieve a high secure key rate over a long distribution distance, and is therefore practically useful for field implementation of intercity QKD.
Abstract Quantum key distribution (QKD) has convincingly been proven compatible with real life applications. Its wide-scale deployment in optical networks will benefit from an optical platform that allows miniature devices capable of encoding the necessarily complex signals at high rates and with low power consumption. While photonic integration is the ideal route toward miniaturisation, an efficient route to high-speed encoding of the quantum phase states on chip is still missing. Consequently, current devices rely on bulky and high power demanding phase modulation elements which hinder the sought-after scalability and energy efficiency. Here we exploit a novel approach to high-speed phase encoding and demonstrate a compact, scalable and power efficient integrated quantum transmitter. We encode cryptographic keys on-demand in high repetition rate pulse streams using injection-locking with deterministic phase control at the seed laser. We demonstrate record secure-key-rates under multi-protocol operation. Our modulator-free transmitters enable the development of high-bit rate quantum communications devices, which will be essential for the practical integration of quantum key distribution in high connectivity networks.
With the help of quantum key distribution (QKD), two distant peers are able to share informationtheoretical secure key bits.Increasing the key rate is ultimately significant for the applications of QKD in the lossy channel.However, it has been proven that there is a fundamental rate-distance limit, called the linear bound, which restricts the performance of all existing repeaterless protocols and realizations.Surprisingly, a recently proposed protocol, called twin-field (TF) QKD, can beat the linear bound with no need for quantum repeaters.Here, we present one of the first implementations of the TF-QKD protocol and demonstrate its advantage of beating the linear bound at a channel distance of 300 km.In our experiment, a modified TF-QKD protocol that does not assume phase postselection is considered, and thus a higher key rate than the original one is expected.After controlling the phase evolution of the twin fields traveling through hundreds of kilometers of optical fibers, the implemented system achieves high-visibility singlephoton interference and allows stable and high-rate measurement-device-independent QKD.Our experimental demonstration and results confirm the feasibility of the TF-QKD protocol and its prominent superiority in long-distance key distribution services.
A scalable integrated-photonic twin-field quantum key distribution (TF-QKD) network is demonstrated. The system employs a star topology with a server-sideSi3 N4\text{Si}_{3} ~\mathrm{N}_{4}Si3​ N4​optical microcomb and 20 monolithically integrated InP transmitter chips. Coherent comb lines seed client lasers to enable wavelengthdivision multiplexed operation and stable interference. Sequential pairwise TF-QKD is implemented over ten channels among 20 users, each exceeding the repeaterless bound at 370 km. The networking capability reaches3,700 km3,700 ~\text{km}3,700 km(client pairs × distance), and wafer-scale chip reproducibility confirms a manufacturable platform for large-scale quantum communication networks.