Robust Bell Nonlocality from Gottesman-Kitaev-Preskill States
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909998129348608 |
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| author | Yang, Xiaotian Zamora, Santiago Chaves, Rafael Andersen, Ulrik L. Brask, Jonatan Bohr Junior, A. de Oliveira |
| author_facet | Yang, Xiaotian Zamora, Santiago Chaves, Rafael Andersen, Ulrik L. Brask, Jonatan Bohr Junior, A. de Oliveira |
| contents | Bell tests based on homodyne detection are strongly constrained in continuous-variable systems. Can Gottesman-Kitaev-Preskill (GKP) encoding turn homodyne detection into a practical tool for revealing Bell nonlocality? We consider a physically motivated model in which each party performs homodyne detection and digitizes the continuous outcome via a fixed periodic binning, corresponding to logical Pauli measurements. Within this framework, we derive a bipartite no-go: CHSH cannot be violated for Bell-pair states. Moving beyond two parties, we show that finitely squeezed GKP-encoded GHZ and W states nevertheless exhibit strong multipartite nonlocality, violating multipartite Bell inequalities with homodyne-only readout. We quantify the required squeezing thresholds and robustness to loss, providing a route toward homodyne-based Bell tests in continuous-variable systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16189 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Robust Bell Nonlocality from Gottesman-Kitaev-Preskill States Yang, Xiaotian Zamora, Santiago Chaves, Rafael Andersen, Ulrik L. Brask, Jonatan Bohr Junior, A. de Oliveira Quantum Physics Bell tests based on homodyne detection are strongly constrained in continuous-variable systems. Can Gottesman-Kitaev-Preskill (GKP) encoding turn homodyne detection into a practical tool for revealing Bell nonlocality? We consider a physically motivated model in which each party performs homodyne detection and digitizes the continuous outcome via a fixed periodic binning, corresponding to logical Pauli measurements. Within this framework, we derive a bipartite no-go: CHSH cannot be violated for Bell-pair states. Moving beyond two parties, we show that finitely squeezed GKP-encoded GHZ and W states nevertheless exhibit strong multipartite nonlocality, violating multipartite Bell inequalities with homodyne-only readout. We quantify the required squeezing thresholds and robustness to loss, providing a route toward homodyne-based Bell tests in continuous-variable systems. |
| title | Robust Bell Nonlocality from Gottesman-Kitaev-Preskill States |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.16189 |