2019-12-17
Quadratic speedup for finding marked vertices by quantum walks
Publication
Publication
A quantum walk algorithm can detect the presence of a marked vertex on a graph quadratically faster than the corresponding random walk algorithm (Szegedy, FOCS 2004). However, quantum algorithms that actually find a marked element quadratically faster than a classical random walk were only known for the special case when the marked set consists of just a single vertex, or in the case of some specific graphs. We present a new quantum algorithm for finding a marked vertex in any graph, with any set of marked vertices, that is (up to a log factor) quadratically faster than the corresponding classical random walk.
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arXiv.org e-Print archive | |
Organisation | Algorithms and Complexity |
Ambainis, A, Gilyén, A.P, Jeffery, S, & Kokainis, M. (2019). Quadratic speedup for finding marked vertices by quantum walks. arXiv.org e-Print archive.
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