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This research advances the characterization of multipartite entanglement by establishing new criteria for $k$-nonstretchability using informationally complete symmetric measurements. The derived families of criteria offer practical tools for identifying specific classes of non-stretchable quantum states, contributing directly to foundational problems in quantum information theory.
Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements
arXiv:2508.12817v3 Announce Type: replace Abstract: Characterizing multipartite entanglement is a fundamental problem in quantum information theory. The concept of $k$-stretchability provides a framework for characterizing the structure of multipartite entanglement. We investigate $k$-nonstretchability using informationally complete $(s,t)$-positive operator-valued measures ($(s,t)$-POVMs) and derive two families of criteria. These criteria identify classes of $k$-nonstretchable states, and we demonstrate their applicability and advantages through explicit examples.
Abstract:Characterizing multipartite entanglement is a fundamental problem in quantum information theory. The concept of $k$-stretchability provides a framework for characterizing the structure of multipartite entanglement. We investigate $k$-nonstretchability using informationally complete $(s,t)$-positive operator-valued measures ($(s,t)$-POVMs) and derive two families of criteria. These criteria identify classes of $k$-nonstretchable states, and we demonstrate their applicability and advantages through explicit examples.
arXiv:2508.12817 [quant-ph]
(or arXiv:2508.12817v3 [quant-ph] for this version)
From: Limin Gao Ph.D. [view email] [v1] Mon, 18 Aug 2025 10:54:10 UTC (39 KB) [v2] Tue, 9 Sep 2025 05:40:05 UTC (39 KB) [v3] Sat, 1 Aug 2026 11:07:16 UTC (1,513 KB)
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