A central limit theorem for partial transposes of multipartite Wishart matrices
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917657289162752 |
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| author | Park, Gyunam Youn, Sang-Gyun |
| author_facet | Park, Gyunam Youn, Sang-Gyun |
| contents | The partial transposition from quantum information theory provides a new source to distill the so-called asymptotic freeness without the assumption of classical independence between random matrices. Indeed, a recent paper [MP19] established asymptotic freeness between partial transposes in the bipartite situation. In this paper, we prove almost sure asymptotic freeness in the general multipartite situation and establish a central limit theorem for the partial transposes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02822 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A central limit theorem for partial transposes of multipartite Wishart matrices Park, Gyunam Youn, Sang-Gyun Operator Algebras 46L54, 15B52 The partial transposition from quantum information theory provides a new source to distill the so-called asymptotic freeness without the assumption of classical independence between random matrices. Indeed, a recent paper [MP19] established asymptotic freeness between partial transposes in the bipartite situation. In this paper, we prove almost sure asymptotic freeness in the general multipartite situation and establish a central limit theorem for the partial transposes. |
| title | A central limit theorem for partial transposes of multipartite Wishart matrices |
| topic | Operator Algebras 46L54, 15B52 |
| url | https://arxiv.org/abs/2405.02822 |