Wei Huang, Qiao-Yan Wen, Bin Liu, Fei Gao
Collective detection is an efficient detection strategy in which the detection is taken only once after the whole process of particle transmission. Such detection strategy not only improves the efficiencies of the protocols but also reduces the cost of realization as the users (except for center) only need to perform unitary operations in the whole communication. The unitary operations, which cannot be discriminated precisely, are of vital role in the multiparty quantum cryptographic protocols with collective detection (MQCPs-CD). However, constructing the required operations is still a difficult point in designing such kind of protocol. In this paper, we first present a novel method for constructing the required operations over different channels. It is a general method which can be used to design secure protocols with collective detection over different channels. Utilizing this method, we first present two robust three-party quantum key distribution (QKD) protocols with collective detection over collective-dephasing noise channel and collective-rotation noise channel respectively. Then we also propose a robust three-party QKD protocol with collective detection which can resist all kinds of unitary collective noise. Compared with the precious MQCPs-CD, our protocols are the first ones which can resist channel noise. At last, we prove the security of all the proposed protocols based on the theorems of quantum operation discrimination.
View original:
http://arxiv.org/abs/1210.1332
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