Entanglement measures for multipartite quantum systems:limitations and new approaches

[2408.10272] Entanglement measures for multipartite quantum systems:limitations and new approaches Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:2408.10272 (quant-ph) [Submitted on 17 Aug 2024 ( v1 ), last revised 15 Aug 2026 (this version, v3)] Title: Entanglement measures for multipartite quantum systems:limitations and new approaches Authors: Reza Hamzehofi View a PDF of the paper titled Entanglement measures for multipartite quantum systems:limitations and new approaches, by Reza Hamzehofi View PDF Abstract: In this research, we investigate the distribution of entanglement within two entangled $n$-qubit systems using the one-tangle and $\pi$-tangle. Our analysis reveals that for certain quantum states such as the generalized $W$ state, where the probability coefficients depend on the number of qubits, increasing the system size causes these traditional measures to gradually diminish, with the monogamy relation tending toward equality. This behavior highlights a limitation of conventional tangle-based measures in capturing multipartite correlations in large systems. To overcome this, we introduce two alternative measures: the sum of squared one-tangles and the generalized residual entanglement. Unlike the standard one-tangle and $\pi$-tangle, these new quantities remain robust as the number of qubits increases. Moreover, we propose a strong monogamy relation that preserves nontrivial entanglement distribution even in the large-$n$ limit. Our results provide a refined framework for quantifying entanglement in high-dimensional multipartite systems. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2408.10272 [quant-ph] (or arXiv:2408.10272v3 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2408.10272 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Eur. Phys. J. D (2026) 80:67 Related DOI : https://doi.org/10.1140/epjd/s10053-026-01182-3 Focus to learn more DOI(s) linking to related resources Submission history From: Reza Hamzehofi [ view email ] [v1] Sat, 17 Aug 2024 06:33:16 UTC (495 KB) [v2] Wed, 26 Feb 2025 12:21:11 UTC (602 KB) [v3] Sat, 15 Aug 2026 07:03:05 UTC (615 KB) Full-text links: Access Paper: View a PDF of the paper titled Entanglement measures for multipartite quantum systems:limitations and new approaches, by Reza Hamzehofi View PDF view license Current browse context: quant-ph < prev | next > new | recent | 2024-08 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

Related documents

• Genuine multipartite Rains entanglement#799936
• Neural network-based multipartite entanglement classification with prior guidance from quantum uncertainty relations#1037451
• Characterizing entanglement shareability and distribution in $N$-partite systems#1062821
• G_q-concurrence and entanglement constraints in multiqubit systems#1062745
• Certifying unknown-basis pure-state entanglement dimensionality with few measurement settings#1063829