Robust semi-device-independent certification of all pure bipartite maximally entangled states via quantum steering,Physical Review Research

当前位置： X-MOL 学术 › Phys. Rev. Research › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Robust semi-device-independent certification of all pure bipartite maximally entangled states via quantum steering
Physical Review Research ( IF 3.5 ) Pub Date : 2021-07-27 , DOI: 10.1103/physrevresearch.3.033093
Harshank Shrotriya ₁ , Kishor Bharti ₁ , Leong-Chuan Kwek _{1,

2,

3}

Affiliation

The idea of self-testing is to render guarantees concerning the inner workings of a device based on the measurement statistics. It is one of the most formidable quantum certification and benchmarking schemes. Recently it was shown [A. Coladangelo, K. T. Goh, and V. Scarani, Nat. Commun. 8, 15485 (2017)] that all pure bipartite entangled states can be self-tested in the device-independent scenario by employing subspace methods introduced by Yang and Navascués [Phys. Rev. A 87, 050102(R) (2013)]. Here, we have adapted their method to show that any bipartite pure entangled state can be certified in the semi-device-independent scenario through quantum steering. Analogous to the tilted Clauser-Horne-Shimony-Holt inequality, we use a steering inequality called the tilted steering inequality for certifying any pure two-qubit entangled state. Furthermore, we use this inequality to certify any bipartite pure entangled state by certifying two-dimensional subspaces of the qudit state by observing the structure of the set of assemblages obtained on the trusted side after measurements are made on the untrusted side. As a feature of quantum state certification via steering, we use the notion of assemblage-based robust state certification to provide robustness bounds for the certification result in the case of pure maximally entangled states of any local dimension.

中文翻译：

通过量子转向对所有纯二分最大纠缠态进行稳健的半设备独立认证

自测试的想法是根据测量统计数据提供有关设备内部工作的保证。它是最强大的量子认证和基准测试计划之一。最近显示[A. Coladangelo、KT Goh 和 V. Scarani，Nat。社区。 8 , 15485 (2017)] 所有纯二分纠缠态都可以通过采用 Yang 和 Navascués [ Phys. 修订版 A 87, 050102(R) (2013)]。在这里，我们调整了他们的方法，以表明任何二分纯纠缠态都可以通过量子转向在半设备独立场景中得到证明。类似于倾斜的 Clauser-Horne-Shimony-Holt 不等式，我们使用称为倾斜转向不等式的转向不等式来证明任何纯双量子位纠缠状态。此外，我们使用这个不等式来证明任何二分纯纠缠状态，通过观察在不受信任方进行测量后在受信方获得的集合的结构来证明 qudit 状态的二维子空间。作为通过转向进行量子状态认证的一个特征，

更新日期：2021-07-27

点击分享查看原文

点击收藏

公开下载

阅读更多本刊最新论文