论文标题
通过量子转向
Robust Semi-Device Independent Certification of All Pure Bipartite Maximally Entangled States via Quantum Steering
论文作者
论文摘要
自我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方案之一。最近，它由Coladangelo等人展示。 al。 （Nat Commun 8，15485（2017）），可以通过采用Yang et介绍的子空间方法在设备独立的情况下进行自我测试。 al。 （Phys。Rev.A 87，050102（r））。在这里，我们已经改编了他们的方法，以表明任何双方纯净的状态都可以通过量子转向在半设备独立的情况下获得认证。类似于倾斜的CHSH不平等，我们使用一种称为倾斜转向不平等的转向不平等，以证明任何纯粹的两倍的纠结状态。此外，我们使用这种不平等来证明任何双方纯纠缠状态，通过观察在未经信任的一侧进行测量后，在可信赖的一侧获得的一组组合的结构来证明Qudit状态的二维子空间。作为通过转向的量子状态认证的特征，我们使用基于组合的稳健状态认证的概念为认证的稳健性界限提供了任何局部维度的纯最大纠缠状态。
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 by Coladangelo et. al. (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 et. al. (Phys. Rev. A 87, 050102(R)). 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 CHSH inequality, we use a steering inequality called Tilted Steering Inequality for certifying any pure two-qubit entangled state. Further, we use this inequality to certify any bipartite pure entangled state by certifying two-dimensional sub-spaces of the qudit state by observing the structure of the set of assemblages obtained on the trusted side after measurements are made on the un-trusted 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.
