Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912577475313664 |
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| author | Hong, Yan Zhang, Mengjia Gao, Limin Zhou, Huaqi Zhang, Limei |
| author_facet | Hong, Yan Zhang, Mengjia Gao, Limin Zhou, Huaqi Zhang, Limei |
| contents | Characterizing multipartite entanglement is a fundamental problem in quantum information theory. The concept of $k$-stretchability [Szalay, Quantum 3, 204 (2019)] provides a framework for describing multipartite entanglement structures. We investigate the detection of $k$-nonstretchability using informationally complete $(s,t)$-POVMs [Siudzi$\textrm{ń}$ska, Phys. Rev. A 105, 042209 (2022)], which encompass GSIC-POVMs and MUMs. Several criteria for $k$-nonstretchability in multipartite quantum systems are established. These criteria identify classes of $k$-nonstretchable states, and their applicability and advantages are demonstrated through explicit examples. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_12817 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements Hong, Yan Zhang, Mengjia Gao, Limin Zhou, Huaqi Zhang, Limei Quantum Physics Mathematical Physics Characterizing multipartite entanglement is a fundamental problem in quantum information theory. The concept of $k$-stretchability [Szalay, Quantum 3, 204 (2019)] provides a framework for describing multipartite entanglement structures. We investigate the detection of $k$-nonstretchability using informationally complete $(s,t)$-POVMs [Siudzi$\textrm{ń}$ska, Phys. Rev. A 105, 042209 (2022)], which encompass GSIC-POVMs and MUMs. Several criteria for $k$-nonstretchability in multipartite quantum systems are established. These criteria identify classes of $k$-nonstretchable states, and their applicability and advantages are demonstrated through explicit examples. |
| title | Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2508.12817 |