基于SU（4）欧拉角的二分系统参数化
A Parametrization of Bipartite Systems Based on SU(4) Euler Angles
摘要：
本文给出了两个量子比特密度矩阵的显式参数化。这对于涉及纠缠和许多其他类型的量子信息处理的计算很重要。为了实现这一点，我们提出了一个广义欧拉角参数化SU（4）和所有可能的两个量子位密度矩阵。这样一个描述的重要群论性质，然后表现出来。因此，我们得到了正确的哈尔（赫尔维茨）测量和SU（4）的体积元素，从这个参数化。此外，我们还研究了这种参数化在Peres-Horodecki可分性准则中的作用，以及它在计算纠缠两个量子比特态时的相应用处。
英文摘要：
In this paper we give an explicit parametrization for all two qubit density matrices. This is important for calculations involving entanglement and many other types of quantum information processing. To accomplish this we present a generalized Euler angle parametrization for SU(4) and all possible two qubit density matrices. The important group-theoretical properties of such a description are then manifest. We thus obtain the correct Haar (Hurwitz) measure and volume element for SU(4) which follows from this parametrization. In addition, we study the role of this parametrization in the Peres-Horodecki criteria for separability and its corresponding usefulness in calculating entangled two qubit states as represented through the parametrization.
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