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| 1 | A public key cryptosystem based on data complexity under quantum environment显示文摘Since the Shor algorithm showed that a quantum algorithm can efficiently calculate discrete logarithms and factorize integers, it has been used to break the RSA, EIGamal, and ECC classical public key cryptosystems. This is therefore a significant issue in the context of ensuring communication security over insecure channels. In this paper, we prove that there are no polynomial-size quantum circuits that can compute all Boolean functions(of which there are 22ncases) in the standard quantum oracle model. Based on this,we propose the notion of data complexity under a quantum environment and suggest that it can be used as a condition for post-quantum computation. It is generally believed that NP-complete problems cannot be solved in polynomial time even with quantum computers. Therefore, a public key cryptosystem and signature scheme based on the difficulty of NP-complete problems and the notion of data complexity are presented here. Finally,we analyze the security of the proposed encryption and signature schemes. | WU WanQing ZHANG HuanGuo WANG HouZhen MAO ShaoWu JIA JianWei LIU JinHui | 2015 | Science China(Information Sciences)2015，58，11： | 6 |
| 2 | QKD-based quantum private query without a failure probability显示文摘In this paper, we present a quantum-key-distribution(QKD)-based quantum private query(QPQ) protocol utilizing single-photon signal of multiple optical pulses. It maintains the advantages of the QKD-based QPQ, i.e., easy to implement and loss tolerant. In addition, different from the situations in the previous QKD-based QPQ protocols, in our protocol, the number of the items an honest user will obtain is always one and the failure probability is always zero. This characteristic not only improves the stability(in the sense that, ignoring the noise and the attack, the protocol would always succeed), but also benefits the privacy of the database(since the database will no more reveal additional secrets to the honest users). Furthermore, for the user's privacy, the proposed protocol is cheat sensitive, and for security of the database, we obtain an upper bound for the leaked information of the database in theory. | LIU Bin GAO Fei HUANG Wei WEN QiaoYan | 2015 | Science China(Physics,Mechanics & Astronomy)2015，58，10： | 4 |
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