Optimized detection of high-dimensional entanglement

Autor: Hu, Xiao-Min, Xing, Wen-Bo, Guo, Yu, Weilenmann, Mirjam, Aguilar, Edgar A., Gao, Xiaoqin, Liu, Bi-Heng, Huang, Yun-Feng, Li, Chuan-Feng, Guo, Guang-Can, Wang, Zizhu, Navascués, Miguel
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. Lett. 127, 220501 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.127.220501
Popis: Entanglement detection is one of the most conventional tasks in quantum information processing. While most experimental demonstrations of high-dimensional entanglement rely on fidelity-based witnesses, these are powerless to detect entanglement within a large class of entangled quantum states, the so-called unfaithful states. In this paper, we introduce a highly flexible automated method to construct optimal tests for entanglement detection given a bipartite target state of arbitrary dimension, faithful or unfaithful, and a set of local measurement operators. By restricting the number or complexity of the considered measurement settings, our method outputs the most convenient protocol which can be implemented using a wide range of experimental techniques such as photons, superconducting qudits, cold atoms or trapped ions. With an experimental quantum optics setup that can prepare and measure arbitrary high-dimensional mixed states, we implement some $3$-setting protocols generated by our method. These protocols allow us to experimentally certify 2- and 3-unfaithful entanglement in 4-dimensional photonic states, some of which contain well above 50% of noise.
Comment: 12 pages. Expanded experimental data collection, simplified theoretical description in the main text
Databáze: arXiv