Document Type

Article

Language

eng

Format of Original

15 p.

Publication Date

2016

Publisher

Nature Publishing Group (Macmillan Publishers Limited)

Source Publication

Scientific Reports

Source ISSN

2045-2322

Original Item ID

DOI: 10.1038/srep33957

Abstract

Here we consider using quantum annealing to solve Set Cover with Pairs (SCP), an NP-hard combinatorial optimization problem that plays an important role in networking, computational biology, and biochemistry. We show an explicit construction of Ising Hamiltonians whose ground states encode the solution of SCP instances. We numerically simulate the time-dependent Schrödinger equation in order to test the performance of quantum annealing for random instances and compare with that of simulated annealing. We also discuss explicit embedding strategies for realizing our Hamiltonian construction on the D-wave type restricted Ising Hamiltonian based on Chimera graphs. Our embedding on the Chimera graph preserves the structure of the original SCP instance and in particular, the embedding for general complete bipartite graphs and logical disjunctions may be of broader use than that the specific problem we deal with.

Comments

Published version. Scientific Reports, Vol. 6 (2016). DOI. © The Author(s) 2016.

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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