Optimized detection of high-dimensional entanglement

Autor: Miguel Navascués, Chuan-Feng Li, Yun-Feng Huang, Wen-Bo Xing, Bi-Heng Liu, Xiao-Min Hu, Xiaoqin Gao, Mirjam Weilenmann, Zizhu Wang, Yu Guo, Guang-Can Guo, Edgar A. Aguilar
Rok vydání: 2020
Předmět:
DOI: 10.48550/arxiv.2011.02217
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: OpenAIRE