Multi-round QAOA and advanced mixers on a trapped-ion quantum computer

Abstract

Combinatorial optimization problems on graphs have broad applications in science and engineering. The quantum approximate optimization algorithm (QAOA) is a method to solve these problems on a quantum computer by applying multiple rounds of variational circuits. However, there exist several challenges limiting the application of QAOA to real-world problems. In this paper, we demonstrate on a trapped-ion quantum computer that QAOA results improve with the number of rounds for multiple problems on several arbitrary graphs. We also demonstrate an advanced mixing Hamiltonian that allows sampling of all optimal solutions with predetermined weights. Our results are a step toward applying quantum algorithms to real-world problems.

Document Details

Document Type
Pub Defense Publication
Publication Date
Nov 02, 2022
Source ID
10.1088/2058-9565/ac91ef

Entities

People

  • Alaina Green
  • Bhuvanesh Sundar
  • Cinthia Huerta Alderete
  • Kaden R. A. Hazzard
  • Nhung Nguyen
  • Norbert M Linke
  • Yingyue Zhu
  • Zewen Zhang

Organizations

  • Joint Quantum Institute
  • National Science Foundation
  • Office of Naval Research
  • Robert A. Welch Foundation

Tags

Fields of Study

  • Computer science

Readers

  • Operations Research
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing