多量子比特纯态纠缠刻画研究的一些进展

Progress on the Entanglement of Pure Multi-qubit States

对多量子比特纯态纠缠刻画研究的一些进展作了介绍.首先介绍了三量子比特纯态情形对称正则形式的特点和LU多项式不变量与随机LOCC分类的关系.随后对多量子比特纯态的分类和纠缠的度量作了一些讨论,并指出紧致相对熵纠缠度不具有LU不变性以及Wei的几何纠缠度的不足.

In this paper, some progress on the entanglement of pure multi-qubit states is introduced. The feature of symmetric canonical form and the relation between the LU polynomial invariants and SLOCC classification in pure three-qubit case are presented at first. Then the classification and the measure of entanglement of pure multi-qubit states are reviewed. The facts that the compact relative entropy of entanglement is not invariant under LU transformation and the geometric measure of entanglement proposed by Wei has some deficiency are pointed out.