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Measurement-device-independent quantum secret sharing with hyper-encoding
Institution:1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;2. College of Electronic and Optical Engineering & College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, Nanjing 210023, China;3. Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
Abstract:Quantum secret sharing (QSS) is a typical multi-party quantum communication mode, in which the key sender splits a key into several parts and the participants can obtain the key by cooperation. Measurement-device-independent quantum secret sharing (MDI-QSS) is immune to all possible attacks from measurement devices and can greatly enhance QSS's security in practical applications. However, previous MDI-QSS's key generation rate is relatively low. Here, we adopt the polarization-spatial-mode hyper-encoding technology in the MDI-QSS, which can increase single photon's channel capacity. Meanwhile, we use the cross-Kerr nonlinearity to realize the complete hyper-entangled Greenberger—Horne—Zeilinger state analysis. Both above factors can increase MDI-QSS's key generation rate by about 103. The proposed hyper-encoded MDI-QSS protocol may be useful for future multiparity quantum communication applications.
Keywords:measurement-device-independent quantum secret sharing  hyper-encoding technology  cross-Kerr nonlinearity  hyper-entangled Greenberger—Horne—Zeilinger state analysis  
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