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We introduce a feasible scheme to produce high-rate long-distanceentanglement which uses hybrid entanglement (HE) between continuous variables(CV) and discrete variables (DV). We show that HE can effectively remove theexperimental limitations of existing CV and DV measurement-device-independentquantum key distribution (MDI-QKD) protocols. The key idea is using the CVpart, which can be adjusted to be robust against photon losses, for increasingthe transmission distance, while using the DV part for achieving high securekey rates. We show that, using HE states, MDI-QKD is possible with standardtelecom fibers for 300 km with a secure key rate which is an order of magnitudehigher than in existing protocols. Our results point out that HE states provideadvantage for practical long-distance high-rate entanglement.

Long-distance measurement-device-independent quantum key distribution using entangled states between continuous and discrete variables