论文标题
当地的不可区分性和纠缠正交基础的不完整性：生成两元素在本地无法区分的合奏的方法
Local indistinguishability and incompleteness of entangled orthogonal bases: Method to generate two-element locally indistinguishable ensembles
论文作者
论文摘要
我们将正交状态的局部不可区分性的现象与纠缠基碱基对两分和多部分量子系统的不可延展性和不可统治性的特性联系起来。我们证明，所有两个Quib的不可扩展的纠缠底座都是三大的，并且不能通过可分离的测量来完全区分它们。我们确定了一种基于不可扩展的纠缠基础的概念来构建两元素正交合奏的方法，该方法可能会导致信息共享应用程序。两元素的集合构成了合奏的基本单位，但并未为纯状态元素提供本地无法区分的合奏。去混合国家确实打开了这种可能性，但很难识别。使用不可扩展的纠缠基碱提供的方法可用于其系统生成。在多部分系统中，我们找到了一类不可扩展的纠缠基础，在所有两部分中，不可扩展性属性仍然保守。我们还确定了非本地操作，其本地实施需要从高维量子系统中进行纠缠的资源状态。
We relate the phenomenon of local indistinguishability of orthogonal states with the properties of unextendibility and uncompletability of entangled bases for bipartite and multipartite quantum systems. We prove that all two-qubit unextendible entangled bases are of size three and they cannot be perfectly distinguished by separable measurements. We identify a method of constructing two-element orthogonal ensembles, based on the concept of unextendible entangled bases, that can potentially lead to information sharing applications. Two-element ensembles form the fundamental unit of ensembles, and yet does not offer locally indistinguishable ensembles for pure state elements. Going over to mixed states does open this possibility, but can be difficult to identify. The method provided using unextendible entangled bases can be used for their systematic generation. In multipartite systems, we find a class of unextendible entangled bases for which the unextendibility property remains conserved across all bipartitions. We also identify nonlocal operations, local implementation of which require entangled resource states from a higher-dimensional quantum system.
