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Quantum secret sharing between m-party and n-party with six states

查看全文 作  者:GAO Ting1,YAN FengLi2,3 & LI YouCheng2,3 1 College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050016,China;2 College of Physics and Information Engineering,Hebei Normal University,Shijiazhuang 050016,China;3 Hebei Advanced Thin Films Laboratory,Shijiazhuang 050016,China 高影响力作者 出  处:《Science China(Physics,Mechanics & Astronomy)》索引2009年第52卷第8期,共12页高影响力期刊 基  金:Supported by the National Natural Science Foundation of China (Grant No. 10671054);the Key Project of Science and Technology Research of Education Ministry of China (Grant No. 207011);the Natural Science Foundation of Hebei Province, China (Grant Nos. 07M006 and F2009000311) 摘  要:A quantum secret sharing scheme between an m-party group and an n-party group is proposed using three conjugate bases.A sequence of single photons,each of which is prepared in one of the six states,is used directly to encode classical information in the quantum secret sharing process.In this scheme,each of all m members in group 1 chooses randomly his/her own secret key individually and independently,and directly encodes his/her respective secret information on the states of single photons via unitary operations,then the last one sends 1/n of the resulting qubits to each member of group 2.By measuring their respective qubits,all members in group 2 share the secret information shared by all members in group 1.It renders impossible a Trojan horse attack with a multi-photon signal,a fake-signal attack with EPR pairs,an attack with single photons,and an attack with invisible photons.We give the upper bounds on the average success probabilities for dishonest agent eavesdropping encryption using the fake-signal attack with any two-particle entangled states. 关 键 词:quantum SECRET SHARING security EPR PAIRS
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