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Published March 2023 | Published + Supplemental Material
Journal Article Open

Experimental Full-Domain Mapping of Quantum Correlation in Clauser-Horne-Shimony-Holt Scenarios


Quantum correlation between two parties serves as a useful resource in the surging applications of quantum information. The Bell nonlocality and quantum steering have been proposed to describe nonclassical correlations against local-hidden-variable and local-hidden-state theories, respectively. To characterize the two types of nonclassical correlations, various nonlocality and steering inequalities have been established, and the amount of inequality violation serves as a helpful indicator for many entanglement-based tasks. Quantum state tomography has been employed for measuring quantum states, while the method requires intensive computation and does not directly verify either nonlocality or steering over the full domain independent of established theories. Here, we experimentally map the full-domain correlation with bipartite states for nonlocality and quantum steering in Clauser-Horne-Shimony-Holt scenarios. The measurement of the maps automatically accounts for detection imperfections. Furthermore, we demonstrate the application of the correlation maps in the entanglement-based quantum key distribution protocol with arbitrary bipartite states. The correlation maps show direct measurements and simple interpretations that can answer fundamental questions about nonlocality and quantum steering as well as contribute to quantum information applications in a straightforward manner.

Additional Information

© 2023 American Physical Society. We would like to thank Professor P. Kwiat for stimulating discussions. This project has been made possible in part by Grant No. 2020–225832 from the Chan Zuckerberg Initiative DAF, an advised fund of Silicon Valley Community Foundation, and National Institutes of Health Grants No. R35 CA220436 (Outstanding Investigator Award) and No. R01 EB028277.

Attached Files

Published - PhysRevApplied.19.034049.pdf

Supplemental Material - SM_final.pdf


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Additional details

August 22, 2023
March 15, 2024