A quantum adiabatic algorithm for multiobjective combinatorial optimization (Q2306153)

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A quantum adiabatic algorithm for multiobjective combinatorial optimization
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    A quantum adiabatic algorithm for multiobjective combinatorial optimization (English)
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    20 March 2020
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    Summary: 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.
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    quantum computation
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    multiobjective optimization
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    quantum adiabatic evolution
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