Authors
Jia-le Miao, Elna Svegborn, Zhuo Chen, Yu Guo, Xiao-Min Hu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Armin Tavakoli, Bi-Heng Liu
Published in
Physical review letters. Volume 136. Issue 24. Pages 240201. Jun 19, 2026.
Abstract
Bell inequality tests based on high-dimensional entanglement usually require measurements that can resolve multiple possible outcomes. However, the implementation of high-dimensional multioutcome measurements is often only emulated via a collection of "click or no-click" measurements. This reduction of multioutcome measurements to binary-outcome measurements opens a loophole in high-dimensional tests Bell inequalities that can be exploited by local hidden variable models [Tavakoli et al., Phys. Rev. A 111, 042433 (2025)PLRAAN2469-992610.1103/PhysRevA.111.042433]. Here, we close this loophole by using four-dimensional photonic path-mode entanglement and multioutcome detection. We test both the well-known Collins-Gisin-Linden-Massar-Popescu inequality and a related Bell inequality tailored for maximally entangled states in high dimension. We observe violations that are large enough to also rule out any quantum model based on entanglement of lower dimension, thereby demonstrating genuinely high-dimensional nonlocality free of the binarization loophole.
PMID:
42412466
Bibliographic data and abstract were imported from PubMed on 07 Jul 2026.
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