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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.04078 |
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| _version_ | 1866909451015946240 |
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| author | Singh, Gurpahul Wurtz, Kelly Martín-Martínez, Eduardo |
| author_facet | Singh, Gurpahul Wurtz, Kelly Martín-Martínez, Eduardo |
| contents | We present a phase space formalism to evaluate Bell inequality violations in continuous variable systems. By doing so we can generalize previous analyses (which have dealt only with pure states) to arbitrary mixed states. We leverage these results to analyze the effect of temperature on violations of Bell inequalities in a two-mode squeezed thermal state, which can become useful in tests of local realism in the presence of thermal noise. We also explore the non-monotonic relationship between the violations of Bell inequalities and the amount of entanglement present in this family of mixed states. Additionally, we discuss the optimal choices of pseudospin operators for states beyond the two-mode squeezed vacuum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04078 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase space analysis of Bell inequalities for mixed Gaussian states Singh, Gurpahul Wurtz, Kelly Martín-Martínez, Eduardo Quantum Physics We present a phase space formalism to evaluate Bell inequality violations in continuous variable systems. By doing so we can generalize previous analyses (which have dealt only with pure states) to arbitrary mixed states. We leverage these results to analyze the effect of temperature on violations of Bell inequalities in a two-mode squeezed thermal state, which can become useful in tests of local realism in the presence of thermal noise. We also explore the non-monotonic relationship between the violations of Bell inequalities and the amount of entanglement present in this family of mixed states. Additionally, we discuss the optimal choices of pseudospin operators for states beyond the two-mode squeezed vacuum. |
| title | Phase space analysis of Bell inequalities for mixed Gaussian states |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.04078 |