论文标题
在Lu下，将三个Quarbit的GHz SLOCC划分为十个家庭
Partition GHZ SLOCC class of three qubits into ten families under LU
论文作者
论文摘要
在[Science 340：1205，（2013）]中，通过《纠缠》杂质Michael Walter等人。获得了多粒子纠缠的有限但系统的分类。众所周知，在SLOCC下，将三（四个）的纯净状态分为六个（九个）。在本文中，我们为GHz SLOCC类别的三个Qubits提供了一个不变和纠缠措施，以及GHz SLOCC类别的三个Qubits的分区状态分为十个家庭，每个家庭分为LU下的两个亚科。我们为GHz SLOCC类的广义施密特分解提供了必要和充分的条件。
In [Science 340:1205, (2013)], via entanglement polytopes Michael Walter et al. obtained a finite yet systematic classification of multi-particle entanglement. It is well known that under SLOCC, pure states of three (four) qubits are partitioned into six (nine) families. In this paper,we present a LU invariant and an entanglement measures for the GHZ SLOCC class of three qubits, and partition states of the GHZ SLOCC class of three qubits into ten families and each family into two subfamilies under LU. We give a necessary and sufficient condition for the uniqueness of the generalized Schmidt decomposition for the GHZ SLOCC class.
