Quantum Local Search with the Quantum Alternating Operator Ansatz
Teague Tomesh, Zain H. Saleem, Martin Suchara
Abstract
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.
Topics & Concepts
Local search (optimization)QubitOperator (biology)QuantumSet (abstract data type)Focus (optics)Quantum algorithmAnsatzQuantum computerComputer scienceMathematicsMathematical optimizationTheoretical computer sciencePhysicsQuantum mechanicsMathematical physicsRepressorTranscription factorOpticsProgramming languageBiochemistryChemistryGeneQuantum Computing Algorithms and ArchitectureQuantum Information and CryptographyComplexity and Algorithms in Graphs