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The Cartographer
Multiobjective Optimization in a Quantum Adiabatic Computer
May 10, 2016 Β· Declared Dead Β· π Axioms
"No code URL or promise found in abstract"
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Authors
Benjamin Baran, Marcos Villagra
arXiv ID
1605.03152
Category
cs.DS: Data Structures & Algorithms
Cross-listed
math.OC,
quant-ph
Citations
1
Venue
Axioms
Last Checked
4 months ago
Abstract
In this work we present a quantum algorithm for multiobjective combinatorial optimization. We show how to map a convex combination of objective functions onto a Hamiltonian and then use that Hamiltonian to prove that the quantum adiabatic algorithm of Farhi \emph{et al.} [arXiv:quant-ph/0001106] can find Pareto-optimal solutions in finite time provided certain convex combinations of objectives are used and the underlying multiobjective problem meets certain restrictions.
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