Observing High-dimensional Bell Inequality Violations using Multi-Outcome Spectral Measurements
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909687866195968 |
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| author | Dekkers, Kiki Serino, Laura DAlessandro, Nicola Bhattacharjee, Abhinandan Brecht, Benjamin Tavakoli, Armin Silberhorn, Christine Leach, Jonathan |
| author_facet | Dekkers, Kiki Serino, Laura DAlessandro, Nicola Bhattacharjee, Abhinandan Brecht, Benjamin Tavakoli, Armin Silberhorn, Christine Leach, Jonathan |
| contents | Violation of Bell inequalities is an essential requirement for many quantum information and communication protocols. In high-dimensional systems, Bell inequality tests face the challenge of implementing genuinely multi-outcome measurements, since the emulation of these with separate dichotomic projections opens a binarisation loophole that local hidden variable theories can exploit. Here we show that the joint spectral intensity of a two-photon entangled state contains access to the necessary multi-outcome measurements to overcome this obstacle and certify and violate a Bell inequality for high-dimensional states. This result is contrary to the belief that the joint spectral intensity is a phase-insensitive quantity and does not have sufficient information to certify entanglement or Bell-nonlocality. Using this approach, we violate the CGLMP Bell inequality up to dimension d = 8, all with negligible p-values, and for the first time close the binarisation loophole in high-dimensional Bell experiments. Guaranteeing Bell-nonlocal correlations using frequency-only measurements removes the technological hurdle of measurements in the temporal domain, thus greatly simplifying any practical implementation of future high-dimensional quantum information protocols. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20796 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Observing High-dimensional Bell Inequality Violations using Multi-Outcome Spectral Measurements Dekkers, Kiki Serino, Laura DAlessandro, Nicola Bhattacharjee, Abhinandan Brecht, Benjamin Tavakoli, Armin Silberhorn, Christine Leach, Jonathan Quantum Physics Optics Violation of Bell inequalities is an essential requirement for many quantum information and communication protocols. In high-dimensional systems, Bell inequality tests face the challenge of implementing genuinely multi-outcome measurements, since the emulation of these with separate dichotomic projections opens a binarisation loophole that local hidden variable theories can exploit. Here we show that the joint spectral intensity of a two-photon entangled state contains access to the necessary multi-outcome measurements to overcome this obstacle and certify and violate a Bell inequality for high-dimensional states. This result is contrary to the belief that the joint spectral intensity is a phase-insensitive quantity and does not have sufficient information to certify entanglement or Bell-nonlocality. Using this approach, we violate the CGLMP Bell inequality up to dimension d = 8, all with negligible p-values, and for the first time close the binarisation loophole in high-dimensional Bell experiments. Guaranteeing Bell-nonlocal correlations using frequency-only measurements removes the technological hurdle of measurements in the temporal domain, thus greatly simplifying any practical implementation of future high-dimensional quantum information protocols. |
| title | Observing High-dimensional Bell Inequality Violations using Multi-Outcome Spectral Measurements |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2506.20796 |