npj Quantum Information (Mar 2025)

Quantum error mitigation in quantum annealing

  • Jack Raymond,
  • Mohammad H. Amin,
  • Andrew D. King,
  • Richard Harris,
  • William Bernoudy,
  • Andrew J. Berkley,
  • Kelly Boothby,
  • Anatoly Smirnov,
  • Fabio Altomare,
  • Michael Babcock,
  • Catia Baron,
  • Jake Connor,
  • Martin H. Dehn,
  • Colin Enderud,
  • Emile Hoskinson,
  • Shuiyuan Huang,
  • Mark W. Johnson,
  • Eric Ladizinsky,
  • Trevor Lanting,
  • Allison J. R. MacDonald,
  • Gaelen Marsden,
  • Reza Molavi,
  • Travis Oh,
  • Gabriel Poulin-Lamarre,
  • Hugh Ramp,
  • Chris Rich,
  • Berta Trullas Clavera,
  • Nicholas Tsai,
  • Mark Volkmann,
  • Jed D. Whittaker,
  • Jason Yao,
  • Niclas Heinsdorf,
  • Nitin Kaushal,
  • Alberto Nocera,
  • Marcel Franz,
  • Jacek Dziarmaga

DOI
https://doi.org/10.1038/s41534-025-00977-3
Journal volume & issue
Vol. 11, no. 1
pp. 1 – 15

Abstract

Read online

Abstract Quantum error mitigation (QEM) presents a promising near-term approach to reducing errors when estimating expectation values in quantum computing. Here, we introduce QEM techniques tailored for quantum annealing, using zero-noise extrapolation (ZNE). We implement ZNE through zero-temperature and zero-time extrapolations. The practical zero-time extrapolation developed exploits the Kibble-Zurek mechanism so that only problem-Hamiltonian rescaling is required. We conduct experimental investigations into the quantum critical and post-critical dynamics of a transverse-field Ising spin chain by examining statistics with weak and strong post-critical dynamics. We demonstrate successful mitigation of thermal noise and non-thermal errors through both of these extrapolation techniques.