Invariants of the quantum graph of the partial trace
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914929428135936 |
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| author | Paupa, Wojciech Sołtan, Piotr M. |
| author_facet | Paupa, Wojciech Sołtan, Piotr M. |
| contents | We compute the independence number, zero-error capacity, and the values of the Lovász function and the quantum Lovász function for the quantum graph associated to the partial trace quantum channel $\operatorname{Tr}_n\otimes\mathrm{id}_k\colon\operatorname{B}(\mathbb{C}^n\otimes\mathbb{C}^k)\to\operatorname{B}(\mathbb{C}^k)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16858 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariants of the quantum graph of the partial trace Paupa, Wojciech Sołtan, Piotr M. Mathematical Physics Information Theory 81P47, 94A40, 05C50 We compute the independence number, zero-error capacity, and the values of the Lovász function and the quantum Lovász function for the quantum graph associated to the partial trace quantum channel $\operatorname{Tr}_n\otimes\mathrm{id}_k\colon\operatorname{B}(\mathbb{C}^n\otimes\mathbb{C}^k)\to\operatorname{B}(\mathbb{C}^k)$. |
| title | Invariants of the quantum graph of the partial trace |
| topic | Mathematical Physics Information Theory 81P47, 94A40, 05C50 |
| url | https://arxiv.org/abs/2408.16858 |