Solutions to the constant Yang-Baxter equation in all dimensions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866910521738919936 |
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| author | Pourkia, Arash |
| author_facet | Pourkia, Arash |
| contents | We will present solutions to the constant Yang-Baxter equation, in any dimension $n$. More precisely, for any $n$, we will create an infinite family of $n^2$ by $n^2$ matrices which are solutions to the constant Yang-Baxter equation. The total number of non-vanishing entries of such a matrix is $4n^2$ for $n$ even, and $4(n-1)(n)+1$ for $n$ odd. We will also present the unitary conditions for those matrices. Moreover, we discuss the entangling property of those matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1806_08400 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Solutions to the constant Yang-Baxter equation in all dimensions Pourkia, Arash Quantum Physics We will present solutions to the constant Yang-Baxter equation, in any dimension $n$. More precisely, for any $n$, we will create an infinite family of $n^2$ by $n^2$ matrices which are solutions to the constant Yang-Baxter equation. The total number of non-vanishing entries of such a matrix is $4n^2$ for $n$ even, and $4(n-1)(n)+1$ for $n$ odd. We will also present the unitary conditions for those matrices. Moreover, we discuss the entangling property of those matrices. |
| title | Solutions to the constant Yang-Baxter equation in all dimensions |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/1806.08400 |