论文标题
基于相关张量的N量系统的必要且充分的纠缠标准
A Necessary and Sufficient Entanglement Criterion of N-qubit System Based on Correlation Tensor
论文作者
论文摘要
在研究量子力学和量子信息处理基本原理的纠缠特征方面取得了巨大进步。但是，即使对于N Qubit Systems，纠缠标准的问题也没有得到很好的解决。在这封信中，使用状态分解和高阶奇异价值分解（HOSVD），我们为一般N Qubit Systems提出了必要且充分的纠缠标准。例如，我们应用我们的方法来研究具有白噪声的多Qubit W状态。我们不仅获得了临界点的可分离性临界点，这比已知的结果更紧密，因此也更好，而且是分解的单独状态合奏。提出了更多示例，以表明我们的标准是准确的，这比众所周知的积极部分转置标准更紧。对于两小问题的情况，我们可以提供一个纠缠测量仪，该测量值与一个因素同时提供相似的结果。我们的结果铺平了解决更普遍情况的纠缠与分离性标准的方式。
Great advances have been achieved in studying characteristics of entanglement for fundamentals of quantum mechanics and quantum information processing. However, even for N-qubit systems, the problem of entanglement criterion has not been well solved. In this Letter, using the method of state decomposition and high order singular value decomposition (HOSVD), we propose a necessary and sufficient entanglement criterion for general N-qubit systems. As an example, we apply our method to study the multi-qubit W state with white noise. We not only obtain the separability critical point, which is tight and thus better than known results, but also the separate states ensemble for decomposition. More examples are presented to show our criterion is accurate, which is tighter than the well-known positive partial transpose criterion. For two-qubit case, we can provide an entanglement measurer which gives similar results with concurrence up to a factor. Our results pave the way to solve the entanglement-separability criterion for more general cases.
