Computational geometric analysis of physically allowed quantum cloning transformations for quantum cryptography
Computational geometric analysis of physically allowed quantum cloning transformations for quantum cryptography
复制标题
量子密码学中物理允许的量子克隆变换的计算几何分析
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
S. Imre
中科院分区：
文献类型：
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作者：
L. Gyongyosi;S. Imre
量子密码的安全性依赖于不可克隆定理。在秘密量子通信中，窃听者无法完美地克隆发送的量子比特，然而，针对量子密码的最佳窃听攻击是基于不完美的克隆机器。窃听者在发送的量子比特上的物理允许的量子演化可以用量子态的几何来描述。我们使用一种全新的计算几何方法来分析克隆活动对量子通道的信息理论影响。我们的方法使用Delaunay镶嵌和凸壳计算，以量子相对熵作为距离度量。对四态（BB84）和六态量子密码协议进行了安全性分析。所提出的几何方法可以有效地分析物理上允许的量子克隆变换的信息理论影响。
The safety of quantum cryptography relies on the no-cloning theorem. In secret quantum communications, an eavesdropper cannot clone the sent qubits perfectly, however the best eavesdropping attacks for quantum cryptography are based on imperfect cloning machines. The eavesdropper's physically allowed quantum evolutions on the sent qubit can be described in terms of the quantum state's geometry. We use a fundamentally new computational geometrical method to analyze the informational theoretical impacts of cloning activity on the quantum channel. Our method uses Delaunay tessellation and convex hull calculation, with respect to quantum relative entropy as distance measure. The security analysis is focused on the four state (BB84) and Six state quantum cryptography protocols. The proposed geometrical method can be used to analyze efficiently the informational theoretical impacts of physically allowed quantum cloning transformations.