论文标题
几个纠缠检测标准的定量表征
Quantitative characterization of several entanglement detection criteria
论文作者
论文摘要
提出了两分系统的不同纠缠检测标准的定量表征。我们回顾了这些标准的含义序列，然后在数值上估计了非侵入量子状态和所有量子状态的标准之间的体积比。数值方法基于命中算法，该算法应用于嵌入Hilbert-Schmidt Inner产品的所有量子状态的凸集。我们证明，与正面偏置相比，减少，多数化和基于Rényi-Entropy的标准非常无效。在基于Rényi-Entropy的标准的情况下，我们表明可检测到的纠缠之比随Rényi熵的顺序增加。
Quantitative characterization of different entanglement detection criteria for bipartite systems is presented. We review the implication sequence of these criteria and then numerically estimate volume ratios between criteria non-violating quantum states and all quantum states. The numerical approach is based on the hit-and-run algorithm, which is applied to the convex set of all quantum states embedded into a Euclidean vector space of the Hilbert-Schmidt inner product. We demonstrate that reduction, majorization, and the Rényi-entropy-based criteria are very ineffective compared to the positive partial transpose. In the case of the Rényi-entropy-based criterion, we show that the ratio of detectable entanglement increases with the order of the Rényi entropy.
