A $(k+1)$-partite entanglement measure of $N$-partite quantum states
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914642722291712 |
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| author | Hong, Yan Qi, Xianfei Gao, Ting Yan, Fengli |
| author_facet | Hong, Yan Qi, Xianfei Gao, Ting Yan, Fengli |
| contents | The concept of \textquotedblleft the permutationally invariant part of a density matrx\textquotedblright constitutes an important tool for entanglement characterization of multiqubit systems. In this paper, we first present $(k+1)$-partite entanglement measure of $N$-partite quantum system, which possesses desirable properties of an entanglement measure. Moreover, we give strong bounds on this measure by considering the permutationally invariant part of a multipartite state. We give two definitions of efficient measurable degree of $(k+1)$-partite entanglement. Finally, several concrete examples are given to illustrate the effectiveness of our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03266 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A $(k+1)$-partite entanglement measure of $N$-partite quantum states Hong, Yan Qi, Xianfei Gao, Ting Yan, Fengli Quantum Physics The concept of \textquotedblleft the permutationally invariant part of a density matrx\textquotedblright constitutes an important tool for entanglement characterization of multiqubit systems. In this paper, we first present $(k+1)$-partite entanglement measure of $N$-partite quantum system, which possesses desirable properties of an entanglement measure. Moreover, we give strong bounds on this measure by considering the permutationally invariant part of a multipartite state. We give two definitions of efficient measurable degree of $(k+1)$-partite entanglement. Finally, several concrete examples are given to illustrate the effectiveness of our results. |
| title | A $(k+1)$-partite entanglement measure of $N$-partite quantum states |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2211.03266 |