arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1204.0341quant-ph
收藏

双量子比特系统量子关联的一般度量:自旋关联元素的平均值

Generic measure for the quantum correlation of the two-qubit systems: the average of the spin-correlation elements

Faisal A. A. El-Orany

摘要:

基于泡利自旋算符,我们发展了双量子比特系统的自旋相关矩阵的概念。如果这个矩阵是非零的,那么量子位之间的相关性的度量就是非零元素的平均值。简单地说,对于零矩阵,二分矩阵是不相关的。这个判据是完全关联的一个充分必要条件,它包含了纠缠和关联的信息,而不是纠缠。此外,我们还讨论了这个判据在多大程度上能给出系统纠缠度的信息。该准则是通用的,因为它可以应用于混合和纯系统。而且,它可以很容易地扩展到处理多部系统的相关性。我们比较了从这个标准得到的结果,从并发的各种例子,我们获得关于纠缠的协议。我们相信这个判据在量子信息理论中可能有广泛的潜在应用。

英文摘要:

Based on the Pauli spin operators we develop the notion of the spin-correlation matrix for the two-qubit system. If this matrix is non-zero, the measure of the correlation between the qubits is the average of the non-zero elements. Trivially, for zero matrix the bipartite is uncorrelated. This criterion turns out to be a necessary and sufficient condition for the full correlation, where it includes information on both entanglement and correlation other than entanglement. Moreover, we discuss to what extent this criterion can give information on the entanglement of the system. The criterion is generic in the sense that it can be applied to mixed and pure systems. Also, it can be easily extended to treat the correlation of multipartite systems. We compare the results obtained from this criterion to those from concurrence for various examples and we gain agreement regarding entanglement. We believe that this criterion may have a wide range of potential applications in quantum information theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑