Multipartite entanglement dynamics in quantum walks

Quantum Physics [Submitted on 25 Mar 2026] Multipartite entanglement dynamics in quantum walks Emil K. F. Donkersloot, René Sondenheimer, Jan Sperling Quantum walks constitute a rich area of quantum information science, where multipartite entanglement plays a central role in the dynamics and scalability of quantum advantage over classical simulators. In this work, we study the multipartite entanglement of quantum walks in optical settings. We present methods for computing a geometric measure of entanglement for arbitrary partitions of a single-walker quantum walk and for analyzing the entanglement in multi-walker scenarios. These techniques are used for numerical studies on the entanglement dynamics of quantum walks in large systems and under various initial conditions. For a given bipartition, based on the coin degrees of freedom, we derive exact expressions describing the complete entanglement dynamics for arbitrary localized initial conditions. We use these expressions for analytic statements about the asymptotic behavior of the system. Furthermore, we demonstrate the emergence of entanglement typicality in statistical ensembles of random optical networks. Comments: 13 pages + 3 appendix, 9 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.24679 [quant-ph]   (or arXiv:2603.24679v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2603.24679 Focus to learn more Submission history From: René Sondenheimer [view email] [v1] Wed, 25 Mar 2026 18:01:08 UTC (2,118 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)