Feb 11, 2010 · Abstract:We solve an open problem by constructing quantum walks that not only detect but also find marked vertices in a graph.

Mar 3, 2015 · We solve an open problem by constructing quantum walks that not only detect but also find marked vertices in a graph.

We solve an open problem by constructing quantum walks that not only detect but also find marked vertices in a graph. In the case when the marked set $$M$$M ...

This work solves an open problem by constructing quantum walks that not only detect but also find marked vertices in a graph by introducing a notion of ...

Apr 26, 2020 · A classical approach is to perform a random walk on the graph to find out a marked vertex, for which the required time is the hitting time of ...

Jul 16, 2018 · We provide a new spatial search algorithm by continuous-time quantum walk which can find a marked node on any P in the square root of the classical hitting ...

Oct 24, 2014 · Abstract We solve an open problem by constructing quantum walks that not only detect but also find marked vertices in a graph.

Jan 30, 2014 · Abstract. We solve an open problem by constructing quantum walks that not only detect but also find marked vertices in a graph.

Theorem. Let P be a reversible, ergodic Markov chain on a set X, and. M ⊆ X be a set of marked elements. Then a quantum algorithm can find a marked element ...

Mar 22, 2014 · This post is about my paper Quantum walks can find a marked element on any graph with Hari Krovi, Frédéric Magniez, and Jérémie Roland.