The Entropy Characterization of Quantum MDS Codes
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915336223195136 |
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| author | Sun, Hua |
| author_facet | Sun, Hua |
| contents | An $[[n,k,d]]$ quantum maximum-distance-separable code maps $k$ source qudits to $n$ coded qudits such that any $n-(d-1)$ coded qudits may recover all source qudits and $n = k + 2 (d-1)$. The entropy of the joint state of the reference system of $k$ qudits and the $n$ coded qudits is fully characterized - the joint state must be pure, i.e., has entropy zero; and any sub-system whose number of qudits is at most half of $k+n$, the total number of qudits in the joint state must be maximally mixed, i.e., has entropy equal to its size. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19826 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Entropy Characterization of Quantum MDS Codes Sun, Hua Quantum Physics Information Theory An $[[n,k,d]]$ quantum maximum-distance-separable code maps $k$ source qudits to $n$ coded qudits such that any $n-(d-1)$ coded qudits may recover all source qudits and $n = k + 2 (d-1)$. The entropy of the joint state of the reference system of $k$ qudits and the $n$ coded qudits is fully characterized - the joint state must be pure, i.e., has entropy zero; and any sub-system whose number of qudits is at most half of $k+n$, the total number of qudits in the joint state must be maximally mixed, i.e., has entropy equal to its size. |
| title | The Entropy Characterization of Quantum MDS Codes |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2505.19826 |