论文标题
通用多Qudit状态的SLOCC和LU等效性的标准
Criteria for SLOCC and LU Equivalence of Generic Multi-qudit States
论文作者
论文摘要
在本文中，我们通过模式 - 系数张量的模式来研究多Qudit状态的随机局部操作和经典交流（SLOCC）和本地统一（LU）等效。我们建立了一种新的方案，即使用张量的CandeComp/Parafac（CP）分解，以在模式 - $ n $展开与SLOCC \＆lu等效性之间找到必要和足够的条件。对于多部分混合状态，我们为LU等效性和SLOCC等效性的必要条件提供了必要的条件。
In this paper, we study the stochastic local operation and classical communication (SLOCC) and local unitary (LU) equivalence for multi-qudit states by mode-$n$ matricization of the coefficient tensors. We establish a new scheme of using the CANDECOMP/PARAFAC (CP) decomposition of tensors to find necessary and sufficient conditions between the mode-$n$ unfolding and SLOCC\&LU equivalence for pure multi-qudit states. For multipartite mixed states, we present a necessary and sufficient condition for LU equivalence and necessary condition for SLOCC equivalence.
