On the mixed UDA states and additivity
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915742020009984 |
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| author | Qiu, Xinyu Chen, Lin Li, Genwei Chu, Delin |
| author_facet | Qiu, Xinyu Chen, Lin Li, Genwei Chu, Delin |
| contents | Mixed states that are uniquely determined among all (UDA) states are vital in efficient quantum tomography. We show the necessary and sufficient conditions by which some multipartite mixed states are UDA by their $k$-partite reduced density matrices. The case for $k=2$ is mostly studied, which requires minimal local information and shows practical benefits. Based on that, we establish a systematic method for determining UDA states and provide a complete characterization of the additivity of UDA bipartite and three-qubit product states. We show the application of mixed UDA states and their characterization from the perspectives of tomography and other tasks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20133 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the mixed UDA states and additivity Qiu, Xinyu Chen, Lin Li, Genwei Chu, Delin Quantum Physics Mixed states that are uniquely determined among all (UDA) states are vital in efficient quantum tomography. We show the necessary and sufficient conditions by which some multipartite mixed states are UDA by their $k$-partite reduced density matrices. The case for $k=2$ is mostly studied, which requires minimal local information and shows practical benefits. Based on that, we establish a systematic method for determining UDA states and provide a complete characterization of the additivity of UDA bipartite and three-qubit product states. We show the application of mixed UDA states and their characterization from the perspectives of tomography and other tasks. |
| title | On the mixed UDA states and additivity |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.20133 |