A quantum algorithm for minimal spanning tree

Quantum computing algorithms are considered for several problems in graph theory. Classical algorithms involve searching over some space for finding the minimal spanning tree problem in a graph. We modify classical Primpsilas algorithm and replace quantum search instead of classical search, of which...

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Bibliographic Details
Main Authors: Aghaei, Mohammad Reza Soltan, Ahmad Zukarnain, Zuriati, Mamat, Ali, Zainuddin, Hishamuddin
Format: Conference or Workshop Item
Language:English
Published: IEEE 2008
Online Access:http://psasir.upm.edu.my/id/eprint/69245/
http://psasir.upm.edu.my/id/eprint/69245/1/A%20quantum%20algorithm%20for%20minimal%20spanning%20tree.pdf
Description
Summary:Quantum computing algorithms are considered for several problems in graph theory. Classical algorithms involve searching over some space for finding the minimal spanning tree problem in a graph. We modify classical Primpsilas algorithm and replace quantum search instead of classical search, of which it will lead to more efficient algorithm. Also we proposed the structure for non-classical algorithms and design the various phases of the probabilistic quantum-classical algorithm for classical and quantum parts. Finally, we represent the result of implementing and simulating Primpsilas algorithm in the probabilistic quantum-classical algorithm.