An Improved Quantum Scheduling Algorithm
Quantum Physics
2007-05-23 v1
Abstract
The scheduling problem consists of finding a common 1 in two remotely located N bit strings. Denote the number of 1s in the string with the fewer 1s by epsilon*N. Classically, it needs at least O(epsilon*N) bits of communication to find the common 1 (ignoring logarithmic factors). The best known quantum algorithm would require O(sqrt(N)) qubits of communication. This paper gives a modified quantum algorithm to find the common 1 with only O(sqrt(epsilon*N)) qubits of communication.
Cite
@article{arxiv.quant-ph/0202033,
title = {An Improved Quantum Scheduling Algorithm},
author = {Lov K. Grover},
journal= {arXiv preprint arXiv:quant-ph/0202033},
year = {2007}
}