Finding the chromatic sums of graphs using a D-Wave quantum computer

被引：0
|
作者：
Michael J. Dinneen
Anuradha Mahasinghe
Kai Liu
机构：
[1] University of Auckland,School of Computer Science
[2] University of Colombo,Department of Mathematics
来源：
The Journal of Supercomputing | 2019年 / 75卷
关键词：
Chromatic sum; Graph coloring; QUBO formulation; Adiabatic quantum computing;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we demonstrate how to solve the chromatic sum problem using a D-Wave quantum computer. Starting from a BIP (binary integer programming) formulation, we develop a QUBO (quadratic unconstrained binary optimization) formulation of the chromatic sum problem, which is acceptable to a D-Wave quantum computer. Our construction requires nk qubits for a graph of n vertices and upper bound of k colors. Further, we present the experimental results obtained by running several QUBOs on a D-Wave quantum computer.
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收藏
页码：4811 / 4828
页数：17
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