On the maximum purity of absolutely separable bipartite states
Hoang Phi Dung and Vu The Khoi
在这项研究中,我们研究了确定绝对可分离和绝对PPT量子态的最大纯度的问题。 从几何的角度来看,这个问题相当于要求最小球的精确欧几里得半径围绕最大混合状态,其中包括所有绝对可分离或绝对PPT状态的集合。 我们的结果为两个量子位状态提供了分析解决方案。 基于数值计算,我们提出了绝对可分离的量子比特量子比特状态和绝对PPT qutrit-qudit状态的推测最大纯度。
In this study, we investigate the problem of determining the maximum purity for absolutely separable and absolutely PPT quantum states. From the geometric viewpoint, this problem is equivalent to asking for the exact Euclidean radius of the smallest ball around the maximally mixed state that encompasses the set of all absolutely separable or absolutely PPT states. Our results provide an analytic solution for two qubit states. Based on numerical computation, we propose a conjectured maximum purit...