Quantum Information Theory and Free Semialgebraic Geometry: One Wonderland Through Two Looking Glasses
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866917603193126912 |
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| author | Cuevas, Gemma De Las Netzer, Tim |
| author_facet | Cuevas, Gemma De Las Netzer, Tim |
| contents | We illustrate how quantum information theory and free (i.e. noncommutative) semialgebraic geometry often study similar objects from different perspectives. We give examples in the context of positivity and separability, quantum magic squares, quantum correlations in non-local games, and positivity in tensor networks, and we show the benefits of combining the two perspectives. This paper is an invitation to consider the intersection of the two fields, and should be accessible for researchers from either field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_04240 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Quantum Information Theory and Free Semialgebraic Geometry: One Wonderland Through Two Looking Glasses Cuevas, Gemma De Las Netzer, Tim Quantum Physics Algebraic Geometry We illustrate how quantum information theory and free (i.e. noncommutative) semialgebraic geometry often study similar objects from different perspectives. We give examples in the context of positivity and separability, quantum magic squares, quantum correlations in non-local games, and positivity in tensor networks, and we show the benefits of combining the two perspectives. This paper is an invitation to consider the intersection of the two fields, and should be accessible for researchers from either field. |
| title | Quantum Information Theory and Free Semialgebraic Geometry: One Wonderland Through Two Looking Glasses |
| topic | Quantum Physics Algebraic Geometry |
| url | https://arxiv.org/abs/2102.04240 |