论文标题
三方正交产品状态的非局部性
Nonlocality of tripartite orthogonal product states
论文作者
论文摘要
正交产品状态的局部区分性是量子信息理论中积极研究的领域。但是，关于在两部分量子系统中发现的局部区分性的大多数相关结果，在多部分系统中很少知道。在这项工作中，我们以$ {\ mathbb {c}}}^{2d} \ bigotimes {\ Mathbb {c}}^{2d} \ bigotimes {\ bigotimes {\ mathbb {c}}} $ dd \ geq的$ quq 2 $ quq2 $ quq 2国家。此外，我们将方法概括为任意三方量子系统$ {\ Mathbb {c}}}^{k} \ bigotimes {\ Mathbb {c}}}}^{l} \ bigotimes {\ Mathbb {c}}}}}}^{m} $。该结果使我们能够进一步了解多部分量子系统中非链接性而无需纠缠的作用。最后，我们证明，三分之二的GHz状态足以作为一种资源来区分上述每个类别的状态。
Local distinguishability of orthogonal product states is an area of active research in quantum information theory. However, most of the relevant results about local distinguishability found in bipartite quantum systems and very few are known in multipartite systems. In this work, we construct a locally indistinguishable subset in ${\mathbb{C}}^{2d}\bigotimes{\mathbb{C}}^{2d}\bigotimes{\mathbb{C}}^{2d}$, $d\geq2$ that contains $18(d-1)$ orthogonal product states. Further, we generalize our method to arbitrary tripartite quantum systems ${\mathbb{C}}^{k}\bigotimes{\mathbb{C}}^{l}\bigotimes{\mathbb{C}}^{m}$. This result enables us to understand further the role of nonlocality without entanglement in multipartite quantum systems. Finally, we prove that a three-qubit GHZ state is sufficient as a resource to distinguish each of the above classes of states.
