Peled Bar Y, Te'eni Amit, Carmi Avishy, Cohen Eliahu
Center for Quantum Information Science and Technology and Faculty of Engineering Sciences, Ben-Gurion University of the Negev, Beersheba, 8410501, Israel.
Faculty of Engineering and the Institute of Nanotechnology and Advanced Materials, Bar Ilan University, Ramat Gan, 5290002, Israel.
Sci Rep. 2021 Feb 2;11(1):2849. doi: 10.1038/s41598-021-82303-3.
In this paper we develop an approach for detecting entanglement, which is based on measuring quantum correlations and constructing a correlation matrix. The correlation matrix is then used for defining a family of parameters, named Correlation Minor Norms, which allow one to detect entanglement. This approach generalizes the computable cross-norm or realignment (CCNR) criterion, and moreover requires measuring a state-independent set of operators. Furthermore, we illustrate a scheme which yields for each Correlation Minor Norm a separable state that maximizes it. The proposed entanglement detection scheme is believed to be advantageous in comparison to other methods because correlations have a simple, intuitive meaning and in addition they can be directly measured in experiment. Moreover, it is demonstrated to be stronger than the CCNR criterion. We also illustrate the relation between the Correlation Minor Norm and entanglement entropy for pure states. Finally, we discuss the relation between the Correlation Minor Norm and quantum discord. We demonstrate that the CMN may be used to define a new measure for quantum discord.
在本文中，我们开发了一种用于检测纠缠的方法，该方法基于测量量子关联并构建关联矩阵。然后，关联矩阵用于定义一族名为关联子范数的参数，这些参数可用于检测纠缠。此方法推广了可计算交叉范数或重排（CCNR）准则，而且需要测量一组与状态无关的算符。此外，我们说明了一种方案，该方案针对每个关联子范数给出一个使其最大化的可分态。与其他方法相比，所提出的纠缠检测方案被认为具有优势，因为关联具有简单、直观的意义，并且此外它们可以在实验中直接测量。而且，它被证明比CCNR准则更强。我们还说明了纯态的关联子范数与纠缠熵之间的关系。最后，我们讨论关联子范数与量子失协之间的关系。我们证明CMN可用于定义一种新的量子失协度量。
