A Quantum Adiabatic Algorithm for Multiobjective Combinatorial Optimization
Keyword(s):
In this work we show how to use a quantum adiabatic algorithm to solve multiobjective optimization problems. For the first time, we demonstrate a theorem proving that the quantum adiabatic algorithm can find Pareto-optimal solutions in finite-time, provided some restrictions to the problem are met. A numerical example illustrates an application of the theorem to a well-known problem in multiobjective optimization. This result opens the door to solve multiobjective optimization problems using current technology based on quantum annealing.
1985 ◽
Vol 12
◽
pp. 230-235
◽
1989 ◽
Vol 39
(1)
◽
pp. 61-70
◽
2002 ◽
Vol 10
(3)
◽
pp. 263-282
◽
2015 ◽
Vol 2015
◽
pp. 1-18
◽
2019 ◽
Vol 22
(3)
◽
pp. 67-78