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Optical Engineering

Fuzzy Greenberger–Horne–Zeilinger state analyzer and multiparty measurement-device-independent quantum key distribution network

Litao Zhang, Min Hu, Ran Pan, Hanyu Zeng, Jun Justin Li, Banghong Guo

Published Jan 28, 2019• 2 citations
Publisher

Abstract

Greenberger–Horne–Zeilinger (GHZ) state is an essential resource in quantum processing. We propose multiparty measurement-device-independent quantum key distribution (MDI-QKD) protocol based on a fuzzy GHZ state analyzer, which is composed of linear optical components. Our scheme requires only N detectors and N − 1 polarizing beam splitters to realize an N-party MDI-QKD network. From numerical simulations, the security communication distance is improved to 300 km, and key rate is determined to be higher than 10 − 14. Compared with the previous work, our scheme needs less optical components and detectors, is easier to extend more users, and narrows the gap between theory and practice in multiparty MDI-QKD network.

DOI
10.1117/1.oe.58.1.016113

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Greenberger–Horne–Zeilinger (GHZ) state is an essential resource in quantum processing. We propose multiparty measurement-device-independent quantum key distribution (MDI-QKD) protocol based on a fuzzy GHZ state analyzer, which is composed of linear optical components. Our scheme requires only N detectors and N − 1 polarizing beam splitters to realize an N-party MDI-QKD network. From numerical simulations, the security communication distance is improved to 300 km, and key rate is determined to be higher than 10 − 14. Compared with the previous work, our scheme needs less optical components and detectors, is easier to extend more users, and narrows the gap between theory and practice in multiparty MDI-QKD network.
As a multi-particle entangled state, the Greenberger-Horne-Zeilinger (GHZ) state plays an important role in quantum theory and applications. In this study, we propose a flexible multi-user measurement-device-independent quantum key distribution (MDI-QKD) scheme based on a GHZ entangled state. Our scheme can distribute quantum keys among multiple users while being resistant to detection attacks. Our simulation results show that the secure distance between each user and the measurement device can reach more than 280 km while reducing the complexity of the quantum network. Additionally, we propose a method to expand our scheme to a multi-node with multi-user network, which can further enhance the communication distance between the users at different nodes.
W-state is an important resource for many quantum information processing tasks. In this paper, we for the first time propose a multi-party measurement-device-independent quantum key distribution (MDI-QKD) protocol based on W-state. With linear optics, we design a W-state analyzer in order to distinguish the four-qubit W-state. This analyzer constructs the measurement device for four-party MDI-QKD. Moreover, we derived a complete security proof of the four-party MDI-QKD, and performed a numerical simulation to study its performance. The results show that four-party MDI-QKD is feasible over 150 km standard telecom fiber with off-the-shelf single photon detectors. This work takes an important step towards multi-party quantum communication and a quantum network.
Quantum networks aim to enable quantum information tasks among multiple parties. Quantum conference key agreement (QCKA) is a typical task in quantum networks, which distributes information-theoretically secure keys among multiple users. However, QCKA relying on directly distributing Greenberger-Horne-Zeilinger (GHZ) states over long distances faces significant challenges due to the fragility of these states. Measurement-device-independent QCKA (MDI-QCKA) based on distributing the postselected GHZ entanglement can address this issue and eliminate all loopholes in detection side channels. Here, by developing three-photon GHZ interference technology with high visibility among three independent coherent sources, we realized the first MDI-QCKA experiment over a 60 km fiber link, achieving a secret key rate of 45.5 bits/s. Our result represents a significant step towards practical long-distance QCKA using realistic devices. Moreover, the technology we developed opens the way to future multiparty quantum communications in quantum networks.
Quantum key distribution is the core technology of quantum communication. In 2012, the Measurement-Device-independent quantum key distribution protocol proposed by Lo et al., referred to as MDI-QKD protocol, can effectively resist detector attacks from eavesdroppers. However, the traditional MDI-QKD only supports two parties, which can no longer meet the actual needs in the era of rapid development of communication technology. Therefore, multi-party quantum key distribution has become one of the current hot spots. This paper proposes a multi-user measurement device-independent QKD method based on the GHZ entanglement state. The GHZ entanglement source is used as the quantum relay, which solves the multi-party communication and greatly improves the safe communication distance.
A new multiparty measurement-device-independent quantum secret sharing (MDI-QSS) protocol is proposed based on entanglement swapping. All the measurement tasks are delegated to an untrusted party, eliminating all detector-side-channel loopholes. Only Einstein–Podolsky–Rosen (EPR) pairs, single photons and Bell-state measurements are required irrespective of the number of participants. Compared with existing MDI-QSS protocols, no additional unitary operations or Greenberger–Horne–Zeilinger (GHZ)-state measurements are needed. Our protocol is feasible experimentally and holds inspiring potential for the application in practical multiparty quantum communication networks.
Multipartite device-independent quantum key distribution (DI-QKD), also known as device-independent conference key agreement, enables more than two remote parties to share a common key with information-theoretic security even without trusting the devices. So far, several multipartite DI-QKD protocols have been proposed where Greenberger-Horne-Zeilinger (GHZ) states are used as multipartite entanglement. A natural question is then whether one can construct multipartite DI-QKD with the other type of multipartite entanglement. W state is of particular interest since it is intrinsically different from GHZ state and in some cases, easier to optically implement. In this paper, we show that multipartite DI-QKD is possible with W states. To this end, we construct Bell inequalities largely violated by W states, which can be used for the multipartite DI-QKD. Furthermore, we consider several different implementation scenarios. First, we analyze the minimum required detection efficiencies to extract finite amount of keys. Then we propose a long-distance multipartite DI-QKD protocol with single-photon interference and make detailed analyses with several physical implementation scenarios. We show that the protocol enables secret key distribution over longer distances than the existing multipartite DI-QKD protocols based on GHZ states. This study provides new insight about the relationship between multipartite entanglement and device-independent quantum information processing as well as opens an alternative path toward long-distance multipartite DI-QKD.