Revealing hidden physical nonclassicality with nonnegative polynomials
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913685480407040 |
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| author | Ohst, Ties-A. Yadin, Benjamin Ostermann, Birte de Wolff, Timo Gühne, Otfried Nguyen, Hai-Chau |
| author_facet | Ohst, Ties-A. Yadin, Benjamin Ostermann, Birte de Wolff, Timo Gühne, Otfried Nguyen, Hai-Chau |
| contents | Understanding quantum phenomena which go beyond classical concepts is a focus of modern quantum physics. Here, we show how the theory of nonnegative polynomials emerging around Hilbert's 17th problem, can be used to optimally exploit data capturing the nonclassical nature of light. Specifically, we show that nonnegative polynomials can reveal nonclassicality in data even when it is hidden from standard detection methods up to now. Moreover, the abstract language of nonnegative polynomials also leads to a unified mathematical approach to nonclassicality for light and spin systems, allowing us to map methods for one to the other. Conversely, the physical problems arising also inspire several mathematical insights into characterisation of nonnegative polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09807 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Revealing hidden physical nonclassicality with nonnegative polynomials Ohst, Ties-A. Yadin, Benjamin Ostermann, Birte de Wolff, Timo Gühne, Otfried Nguyen, Hai-Chau Quantum Physics Optimization and Control Understanding quantum phenomena which go beyond classical concepts is a focus of modern quantum physics. Here, we show how the theory of nonnegative polynomials emerging around Hilbert's 17th problem, can be used to optimally exploit data capturing the nonclassical nature of light. Specifically, we show that nonnegative polynomials can reveal nonclassicality in data even when it is hidden from standard detection methods up to now. Moreover, the abstract language of nonnegative polynomials also leads to a unified mathematical approach to nonclassicality for light and spin systems, allowing us to map methods for one to the other. Conversely, the physical problems arising also inspire several mathematical insights into characterisation of nonnegative polynomials. |
| title | Revealing hidden physical nonclassicality with nonnegative polynomials |
| topic | Quantum Physics Optimization and Control |
| url | https://arxiv.org/abs/2403.09807 |