A Quantum Multi-Proxy Blind Signature Scheme Based on Entangled Four-Qubit Cluster State

In this paper, a multi-proxy blind signature scheme based on controlled quantum teleportation is proposed.Entangled four-qubit Cluster state functions as quantum channel, which needs less resource to complete the quantum multi-proxy blind signature. The scheme uses the physical characteristics of quantum mechanics to guarantee its blindness, unforgeability, and undeniability. The eavesdropping check is used to ensure the security. Our scheme has a foreseeable application to the E-business, E-governments, and etc.     

关于从属族的支撑点

本文证明了当Ｆ∈Ｈｐ（１≤ｐ≤∞）且Ｆ′（０）≠０时等式。成立．从而证明了当Ｆ′（０）≠０时Ａｂｕ－Ｍｕｈａｎｎａ的猜想是成立的．除此之外，我们完全决定了一些从属族的支撑点且得到了上述等式成立的几个充分条件．推广了Ｄ．Ｊ．ＨａｌｌｅｎｂｅＣｋ，Ｔ．Ｈ．ＭａｃＧｒｅｇｏｒ的结果．     

关于从属族的极值问题

设 U={z:|z|<1},H={f:f在U内解析},B={f∈H:f(U)=U},B_0={f∈B:f(0)=0},S(f)={g∈H:g f}。α_1…,α_m是U内不同的复数。给定正整数K_1,K_2,…K_m满足