Quantum Local Search with the Quantum Alternating Operator Ansatz

Tomesh, Teague; Saleem, Zain H.; Suchara, Martin

doi:10.22331/q-2022-08-22-781

Quantum Local Search with the Quantum Alternating Operator Ansatz

Journal Article · Mon Aug 22 00:00:00 EDT 2022 · Quantum

DOI:https://doi.org/10.22331/q-2022-08-22-781· OSTI ID:1882740

^[1]; Saleem, Zain H. ^[2]; Suchara, Martin ^[2]

Department of Computer Science, Princeton University, Princeton, NJ 08540, USA.
Argonne National Laboratory, 9700 S. Cass Ave., Lemont, IL 60439, USA.

We present a new hybrid, local search algorithm for quantum approximate optimization of constrained combinatorial optimization problems. We focus on the Maximum Independent Set problem and demonstrate the ability of quantum local search to solve large problem instances on quantum devices with few qubits. This hybrid algorithm iteratively finds independent sets over carefully constructed neighborhoods and combines these solutions to obtain a global solution. We study the performance of this algorithm on 3-regular, Community, and Erdős-Rényi graphs with up to 100 nodes.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1882740

Journal Information:: Quantum, Journal Name: Quantum Vol. 6; ISSN 2521-327X

Publisher:: Verein zur Forderung des Open Access Publizierens in den QuantenwissenschaftenCopyright Statement

Country of Publication:: Austria

Language:: English

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