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Faster quantum-walk algorithm for the two-dimensional spatial search

Tulsi, Avatar (2008) Faster quantum-walk algorithm for the two-dimensional spatial search. In: Physical Revoew A, 78 (1). 012310-1- 012310-6.

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We consider the problem of finding a desired item out of N items arranged on the sites of a two-dimensional lattice of size root N X root N. The previous quantum-walk based algorithms take O(root N ln N) steps to solve this problem, and it is an open question whether the performance can be improved. We present an algorithm which solves the problem in O(root N ln N) steps, thus giving an O(root ln N) improvement over the known algorithms. The improvement is achieved by controlling the quantum walk on the lattice using an ancilla qubit.

Item Type: Journal Article
Publication: Physical Revoew A
Publisher: The American Physical Society
Additional Information: Copyright belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 20 Jul 2009 11:46
Last Modified: 19 Sep 2010 04:54
URI: http://eprints.iisc.ac.in/id/eprint/16915

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