论文标题
一般多部分量子系统中无纠缠的非局部性
Nonlocality without entanglement in general multipartite quantum systems
论文作者
论文摘要
近年来，非本地量子状态的建造引起了很多关注。我们首先介绍了两个与正交性的局部测量相关的引理。然后，我们提出了$ n（d-1）+1 $正交产品状态$（\ mathbb {c}^{d} {d}）^{\ otimes n} $的一般结构。对于具有任意维度的多部分量子系统，也提出了非局部正交产品状态的集合。我们的新颖构造产生了较少成员的非本地正交产品状态集，因此揭示了非局部性的现象而没有更有效地纠缠。
The construction of nonlocal sets of quantum states has attracted much attention in recent years. We first introduce two Lemmas related to the triviality of orthogonality-preserving local measurements. Then we propose a general construction of nonlocal set of $n(d-1)+1$ orthogonal product states in $(\mathbb{C}^{d})^{\otimes n}$. The sets of nonlocal orthogonal product states are also put forward for the multipartite quantum systems with arbitrary dimensions. Our novel construction gives rise to nonlocal sets of orthogonal product states with much less members and thus reveals the phenomenon of nonlocality without entanglement more efficiently.
