The probability of successful controlled teleportation of an unknown qubit using a general three-particle state is investigated. The analytic expressions of maximal probabilities via several kinds of tripartite states are given, including a tripartite Greenberger-Horne-Zeilinger state and a tripartite W-state.
GAO Ting1,2, YAN FengLi2,3 & LI YouCheng3 1 College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China
A protocol of quantum secret sharing between multiparty and multiparty with four states was presented. It was shown that this protocol can nullify the Trojan horse attack with a multi-photon signal, the fake-signal attack with Einstein-Podolsky- Rosen pairs, the attack with single photons, and the attack with invisible photons. In addition, the upper bounds of the average success probabilities were given for dishonest agent eavesdropping encryption using the fake-signal attack with any two-particle entangled states.
YAN FengLi1, GAO Ting2 & LI YouCheng1 1 College of Physics and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China
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.
GAO Ting1,YAN FengLi2,3 & LI YouCheng2,3 1 College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050016,China