标题： 纠缠相对熵对于某些多体混合态 显示英文标题

标题： Relative entropy of entanglement for certain multipartite mixed states

摘要： 我们证明了关于纠缠相对熵（REE）的两个多体量子态族的猜想。因此，可以给出这些态族的REE的解析表达式。第一类态由一些置换对称的多量子态的混合态组成。结果也推广到了多夸克态，同样成立。第二类态包含Dür的束缚纠缠态。在此过程中，我们讨论了REE与另外两种度量之间的关系：纠缠的鲁棒性和几何纠缠度，略微扩展了之前的结果。 显示英文摘要

摘要： We prove conjectures on the relative entropy of entanglement (REE) for two families of multipartite qubit states. Thus, analytic expressions of REE for these families of states can be given. The first family of states are composed of mixture of some permutation-invariant multi-qubit states. The results generalized to multi-qudit states are also shown to hold. The second family of states contain D\"ur's bound entangled states. Along the way, we have discussed the relation of REE to two other measures: robustness of entanglement and geometric measure of entanglement, slightly extending previous results.