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{ "pk": 64952, "title": "Pretty good state transfer among large sets of vertices", "subtitle": null, "abstract": "In a continuous-time quantum walk on a network of qubits, pretty good state transfer is the phenomenon of state transfer between two vertices with fidelity arbitrarily close to 1. We construct families of graphs to demonstrate that there is no bound on the size of a set of vertices that admits pretty good state transfer between any two vertices of the set.\n \nMathematics Subject Classifications: 05C50, 05C38\n \nKeywords: Continuous-time quantum walks, pretty good state transfer", "language": "en", "license": { "name": "Creative Commons Attribution 4.0", "short_name": "CC BY 4.0", "text": "Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.", "url": "https://creativecommons.org/licenses/by/4.0" }, "keywords": [ { "word": "Continuous-time quantum walks" }, { "word": "pretty good state transfer" } ], "section": "Research Articles", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/7kk1z825", "frozenauthors": [ { "first_name": "Ada", "middle_name": "", "last_name": "Chan", "name_suffix": "", "institution": "Department of Mathematics and Statistics, York University, Toronto, ON, N3J 1P3, Canada", "department": "" }, { "first_name": "Peter", "middle_name": "", "last_name": "Sin", "name_suffix": "", "institution": "Department of Mathematics, University of Florida, P. O. Box 118105, Gainesville FL 32611, U.S.A.", "department": "" } ], "date_submitted": "2024-09-26T16:21:13+02:00", "date_accepted": "2024-09-26T16:21:13+02:00", "date_published": "2024-09-30T09:00:00+02:00", "render_galley": null, "galleys": [ { "label": "", "type": "pdf", "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64952/galley/49762/download/" } ] }