论文标题
强量量子非局部性无纠缠在$ n $ - 派对系统中，甚至$ n $
Strong quantum nonlocality without entanglement in $n$-partite system with even $n$
论文作者
论文摘要
在多部分系统中，最近在没有纠缠的强量子非局部性的研究中取得了巨大进展。但是，在政党系统中，具有强量子非局部性的正交产品的存在仍然未知。在这里，偶数大于四。在本文中，我们成功地构建了所有$ n $ - 分机系统中的强烈非本地正交产品集，甚至为所有$ n $，这回答了Halder等人给出的开放问题。 [\ href {https://journals.aps.org/prl/abstract/10.1103/physrevlett.122.040403} {phys。 Rev. Lett \ TextBf {122}，040403（2019）}]和Yuan等。 [\ href {https://journals.aps.org/pra/abstract/10.1103/physreva.102.04228} {phys。 Rev. a \ textbf {102}，042228（2020）}]对于任何可能的派对系统。因此，我们发现在太空中的强烈非局部正交产品的一般结构$ \ otimes_ {i = 1}^{n} \ Mathcal {c}^{c}^{d_ {i}} $（$ n，d_ {i} \ geq 3 $），并表明任何可能的群都不完整地属于或不完整的产品。 $ n $ - 分机系统，甚至所有$ n $。我们新建的正交产品集是不对称的。我们分析了这些集合与奇数派对系统中已知的正交产品集之间的差异和连接。 此外，我们通过使用其他纠缠资源为我们的集合提供了一个局部状态歧视协议。当至少两个子系统的尺寸大于三个时，该协议的纠缠消耗少于基于传送的协议。强烈的非本地集合意味着，只要所有各方都在一起，就无法完全访问信息。作为一个应用程序，我们将集合与隐藏在多部分系统中的本地信息联系起来。
In multipartite systems, great progress has been made recently on the study of strong quantum nonlocality without entanglement. However, the existence of orthogonal product sets with strong quantum nonlocality in even party systems remains unknown. Here the even number is greater than four. In this paper, we successfully construct strongly nonlocal orthogonal product sets in $n$-partite systems for all even $n$, which answers the open questions given by Halder et al. [\href{https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.040403} {Phys. Rev. Lett \textbf{122}, 040403 (2019)}] and Yuan et al. [\href{https://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.042228} {Phys. Rev. A \textbf{102}, 042228 (2020)}] for any possible even party systems. Thus, we find general construction of strongly nonlocal orthogonal product sets in space $\otimes_{i=1}^{n}\mathcal{C}^{d_{i}}$ ($n,d_{i}\geq 3$) and show that there do exist incomplete orthogonal product bases that can be strongly nonlocal in any possible $n$-partite systems for all even $n$. Our newly constructed orthogonal product sets are asymmetric. We analyze the differences and connections between these sets and the known orthogonal product sets in odd party systems. In addition, we present a local state discrimination protocol for our sets by using additional entangled resource. When at least two subsystems have dimensions greater than three, the protocol consumes less entanglement than teleportation-based protocol. Strongly nonlocal set implies that the information cannot be completely accessed as long as it does not happen that all parties are together. As an application, we connect our sets with local information hiding in multipartite system.
