Efficient Three-Party Quantum Secret Sharing with Single Photons
HOU Ping 1,2, LI Xi-Han 1,2, DENG Fu-Guo 1,2,3, ZHOU Hong-Yu 1,2,3
1Key Laboratory of Beam Technology and Material Modification of Ministry of Education, Beijing Normal University, Beijing 1008752Institute of Low Energy Nuclear Physics, and Department of Material Science and Engineering, Beijing Normal University, Beijing 1008753Beijing Radiation Center, Beijing 100875
Efficient Three-Party Quantum Secret Sharing with Single Photons
1Key Laboratory of Beam Technology and Material Modification of Ministry of Education, Beijing Normal University, Beijing 1008752Institute of Low Energy Nuclear Physics, and Department of Material Science and Engineering, Beijing Normal University, Beijing 1008753Beijing Radiation Center, Beijing 100875
摘要A scheme for three-party quantum secret sharing of a private key is presented with single photons. The agent Bob first prepares a sequence of single photons with two biased bases and then sends them to the boss Alice who checks the security of the transmission with measurements and produces some decoy photons by rearranging the orders of some sample photons. Alice encodes her bits with two unitary operations on the photons and then sends them to the other agent. The security of this scheme is equivalent to that in the modified Bennett--Brassard 1984 quantum key distribution protocol. Moreover, each photon can carry one bit of the private key and the intrinsic efficiency for qubits and the total efficiency both approach the maximal value 100% when the number of the bits in the key is very large.
Abstract：A scheme for three-party quantum secret sharing of a private key is presented with single photons. The agent Bob first prepares a sequence of single photons with two biased bases and then sends them to the boss Alice who checks the security of the transmission with measurements and produces some decoy photons by rearranging the orders of some sample photons. Alice encodes her bits with two unitary operations on the photons and then sends them to the other agent. The security of this scheme is equivalent to that in the modified Bennett--Brassard 1984 quantum key distribution protocol. Moreover, each photon can carry one bit of the private key and the intrinsic efficiency for qubits and the total efficiency both approach the maximal value 100% when the number of the bits in the key is very large.
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2007, Vol. 24 
