论文标题
在本地运营下的两分国家的规范形式
Canonical forms of two-qubit states under local operations
论文作者
论文摘要
在随机地方运营和古典交流（SLOCC）的作用下，两Quib的规范形式为理解非本地性和纠缠所共有的非本地性提供了很好的见解。它们还启用了Bloch Ball中两数Qubit状态的几何图片。已显示（Verstraete等人{Phys。Rev.A，64，010101（R）（2001）），在SLOCC下，任意的两个Qubit状态被转化为{\ em Two}不同的规范形式之一。其中一种恰好是两量状状态的钟形对角线形式，而对于缺陷的两个Quibent状态的家庭，获得了另一种非对角线的规范形式。 Verstraete等人采用的方法在$ n $尺寸空间中具有无限度度的矩阵分解所需的高度非平凡结果。在这里，我们采用了一种完全不同的方法 - 灵感来自Rao等人开发的方法。 Al。，（J。Mod。Opt。45，955（1998））在经典的极化光学元件中 - 自然地导致了两种Qubit态的两种不等于SLOCC不变的规范形式。此外，我们的方法从其SLOCC规范形式方面导致了两数Qubit状态的简单几何可视化。
Canonical forms of two-qubits under the action of stochastic local operations and classical communications (SLOCC) offer great insight for understanding non-locality and entanglement shared by them. They also enable geometric picture of two-qubit states within the Bloch ball. It has been shown (Verstraete et.al. {Phys. Rev. A, 64, 010101(R) (2001)) that an arbitrary two-qubit state gets transformed under SLOCC into one of the {\em two} different canonical forms. One of these happens to be the Bell diagonal form of two-qubit states and the other non-diagonal canonical form is obtained for a family of rank deficient two-qubit states. The method employed by Verstraete et.al. required highly non-trivial results on matrix decompositions in $n$ dimensional spaces with indefinite metric. Here we employ an entirely different approach -- inspired by the methods developed by Rao et. al., (J. Mod. Opt. 45, 955 (1998)) in classical polarization optics -- which leads naturally towards the identification of two inequivalent SLOCC invariant canonical forms for two-qubit states. In addition, our approach results in a simple geometric visualization of two-qubit states in terms of their SLOCC canonical forms.
