Limits of quantum speed-ups for computational geometry and other problems: Fine-grained complexity via quantum walks

Many computational problems are subject to a quantum speed-up: one might find that a problem having an O(n^3)-time or O(n^2)-time classic algorithm can be solved by a known O(n^1.5)-time or O(n)-time quantum algorithm. The question naturally arises: how much quantum speed-up is possible? The area of...

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Veröffentlicht in:	arXiv.org
Hauptverfasser:	Buhrman, Harry, Loff, Bruno, Patro, Subhasree, Speelman, Florian
Format:	Paper
Sprache:	Englisch
Veröffentlicht:	Ithaca Cornell University Library, arXiv.org 03.06.2021
Schlagworte:	Algorithms Complexity Computational geometry Lower bounds Upper bounds
ISSN:	2331-8422
Online-Zugang:	Volltext
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