Quantum secret sharing between <Emphasis Type="Italic">m</Emphasis>-party and <Emphasis Type="Italic">n</Emphasis>-party with six states |
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Authors: | Ting Gao FengLi Yan and YouCheng Li |
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Institution: | (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 |
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Abstract: | 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.
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) and the Natural Science Foundation of Hebei Province, China (Grant
Nos. 07M006 and F2009000311) |
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Keywords: | quantum secret sharing security EPR pairs |
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