Bharti Kishor, Ray Maharshi, Varvitsiotis Antonios, Warsi Naqueeb Ahmad, Cabello Adán, Kwek Leong-Chuan
Centre for Quantum Technologies, National University of Singapore 117543, Singapore.
Department of Electrical & Computer Engineering, National University of Singapore 117583, Singapore.
Phys Rev Lett. 2019 Jun 28;122(25):250403. doi: 10.1103/PhysRevLett.122.250403.
Characterizing unknown quantum states and measurements is a fundamental problem in quantum information processing. In this Letter, we provide a novel scheme to self-test local quantum systems using noncontextuality inequalities. Our work leverages the graph-theoretic framework for contextuality introduced by Cabello, Severini, and Winter, combined with tools from mathematical optimization that guarantee the unicity of optimal solutions. As an application, we show that the celebrated Klyachko-Can-Binicioğlu-Shumovsky inequality and its generalization to contextuality scenarios with odd n-cycle compatibility relations admit robust self-testing.
表征未知量子态和测量是量子信息处理中的一个基本问题。在本信函中，我们提供了一种使用非上下文相关性不等式对局部量子系统进行自测试的新颖方案。我们的工作利用了卡贝洛、塞韦里尼和温特引入的用于上下文相关性的图论框架，并结合了来自数学优化的工具，这些工具保证了最优解的唯一性。作为一个应用，我们表明著名的克莱奇科 - 坎 - 比尼乔卢 - 舒莫夫斯基不等式及其对具有奇数n - 循环相容性关系的上下文相关性场景的推广允许进行稳健的自测试。
