Binarisation-loophole-free observation of high-dimensional quantum nonlocality

Fuente: arXiv
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Autori principali: Miao, Jia-le, Svegborn, Elna, Chen, Zhuo, Guo, Yu, Hu, Xiao-Min, Huang, Yun-Feng, Li, Chuan-Feng, Guo, Guang-Can, Tavakoli, Armin, Liu, Bi-Heng
Natura: Preprint
Pubblicazione: 2026
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author Miao, Jia-le
Svegborn, Elna
Chen, Zhuo
Guo, Yu
Hu, Xiao-Min
Huang, Yun-Feng
Li, Chuan-Feng
Guo, Guang-Can
Tavakoli, Armin
Liu, Bi-Heng
author_facet Miao, Jia-le
Svegborn, Elna
Chen, Zhuo
Guo, Yu
Hu, Xiao-Min
Huang, Yun-Feng
Li, Chuan-Feng
Guo, Guang-Can
Tavakoli, Armin
Liu, Bi-Heng
contents Bell inequality tests based on high-dimensional entanglement usually require measurements that can resolve multiple possible outcomes. However, the implementation of high-dimensional multi-outcome measurements is often only emulated via a collection of ``click or no-click'' measurements. This reduction of multi-outcome measurements to binary-outcome measurements opens a loophole in high-dimensional tests Bell inequalities which can be exploited by local hidden variable models [Tavakoli et al., Phys. Rev. A 111, 042433 (2025)]. Here, we close this loophole by using four-dimensional photonic path-mode entanglement and multi-outcome 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 binarisation loophole.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02350
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Binarisation-loophole-free observation of high-dimensional quantum nonlocality
Miao, Jia-le
Svegborn, Elna
Chen, Zhuo
Guo, Yu
Hu, Xiao-Min
Huang, Yun-Feng
Li, Chuan-Feng
Guo, Guang-Can
Tavakoli, Armin
Liu, Bi-Heng
Quantum Physics
Bell inequality tests based on high-dimensional entanglement usually require measurements that can resolve multiple possible outcomes. However, the implementation of high-dimensional multi-outcome measurements is often only emulated via a collection of ``click or no-click'' measurements. This reduction of multi-outcome measurements to binary-outcome measurements opens a loophole in high-dimensional tests Bell inequalities which can be exploited by local hidden variable models [Tavakoli et al., Phys. Rev. A 111, 042433 (2025)]. Here, we close this loophole by using four-dimensional photonic path-mode entanglement and multi-outcome 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 binarisation loophole.
title Binarisation-loophole-free observation of high-dimensional quantum nonlocality
topic Quantum Physics
url https://arxiv.org/abs/2601.02350