Efficient discrimination between real and complex quantum theories
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913648655466496 |
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| author | Batle, Josep Białecki, Tomasz Rybotycki, Tomasz Tworzydło, Jakub Bednorz, Adam |
| author_facet | Batle, Josep Białecki, Tomasz Rybotycki, Tomasz Tworzydło, Jakub Bednorz, Adam |
| contents | We improve the test to show the impossibility of a quantum theory based on real numbers by a larger ratio of complex-to-real bound on a Bell-type parameter. In contrast to previous theoretical and experimental proposals the test requires three settings for the parties $A$ and $C$, but also six settings for the middle party $B$, assuming separability of the sources. The bound we found for this symmetric configuration imposed on a real theory is $14.69$ while the complex maximum is $18$. This large theoretical difference enables us to demonstrate the concomitant experimental violation on IBM quantum computer via a designed quantum network, without resorting to error mitigation, obtaining as a result $15.44$ at more than $100$ standard deviations above the found real bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03013 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficient discrimination between real and complex quantum theories Batle, Josep Białecki, Tomasz Rybotycki, Tomasz Tworzydło, Jakub Bednorz, Adam Quantum Physics We improve the test to show the impossibility of a quantum theory based on real numbers by a larger ratio of complex-to-real bound on a Bell-type parameter. In contrast to previous theoretical and experimental proposals the test requires three settings for the parties $A$ and $C$, but also six settings for the middle party $B$, assuming separability of the sources. The bound we found for this symmetric configuration imposed on a real theory is $14.69$ while the complex maximum is $18$. This large theoretical difference enables us to demonstrate the concomitant experimental violation on IBM quantum computer via a designed quantum network, without resorting to error mitigation, obtaining as a result $15.44$ at more than $100$ standard deviations above the found real bound. |
| title | Efficient discrimination between real and complex quantum theories |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.03013 |