Huang Chang-Jiang, Xiang Guo-Yong, Guo Yu, Wu Kang-Da, Liu Bi-Heng, Li Chuan-Feng, Guo Guang-Can, Tavakoli Armin
Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, China.
CAS Center for Excellence in Quantum Information and Quantum Physics, Hefei 230026, China.
Phys Rev Lett. 2021 Jul 9;127(2):020401. doi: 10.1103/PhysRevLett.127.020401.
We investigate whether paradigmatic measurements for quantum state tomography, namely mutually unbiased bases and symmetric informationally complete measurements, can be employed to certify quantum correlations. For this purpose, we identify a simple and noise-robust correlation witness for entanglement detection, steering, and nonlocality that can be evaluated based on the outcome statistics obtained in the tomography experiment. This allows us to perform state tomography on entangled qutrits, a test of Einstein-Podolsky-Rosen steering and a Bell inequality test, all within a single experiment. We also investigate the trade-off between quantum correlations and subsets of tomographically complete measurements as well as the quantification of entanglement in the different scenarios. Finally, we perform a photonics experiment in which we demonstrate quantum correlations under these flexible assumptions, namely with both parties trusted, one party untrusted and both parties untrusted.
我们研究了用于量子态层析成像的典型测量方法，即相互无偏基和对称信息完备测量，是否可用于验证量子关联。为此，我们确定了一个用于纠缠检测、导引和非定域性的简单且抗噪声的关联见证，它可基于层析成像实验中获得的结果统计量进行评估。这使我们能够在单个实验中对纠缠三量子比特进行态层析成像、爱因斯坦 - 波多尔斯基 - 罗森导引测试以及贝尔不等式测试。我们还研究了量子关联与层析成像完备测量子集之间的权衡，以及不同场景下纠缠的量化。最后，我们进行了一个光子学实验，在其中展示了在这些灵活假设下的量子关联，即双方都可信、一方不可信以及双方都不可信的情况。
