DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Enhancing quantum annealing accuracy through replication-based error mitigation *

Journal Article · · Quantum Science and Technology

Abstract Quantum annealers like those manufactured by D-Wave Systems are designed to find high quality solutions to optimization problems that are typically hard for classical computers. They utilize quantum effects like tunneling to evolve toward low-energy states representing solutions to optimization problems. However, their analog nature and limited control functionalities present challenges to correcting or mitigating hardware errors. As quantum computing advances towards applications, effective error suppression is an important research goal. We propose a new approach called replication based mitigation (RBM) based on parallel quantum annealing (QA). In RBM, physical qubits representing the same logical qubit are dispersed across different copies of the problem embedded in the hardware. This mitigates hardware biases, is compatible with limited qubit connectivity in current annealers, and is well-suited for currently available noisy intermediate-scale quantum annealers. Our experimental analysis shows that RBM provides solution quality on par with previous methods while being more flexible and compatible with a wider range of hardware connectivity patterns. In comparisons against standard QA without error mitigation on larger problem instances that could not be handled by previous methods, RBM consistently gets better energies and ground state probabilities across parameterized problem sets.

Sponsoring Organization:
USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2439088
Journal Information:
Quantum Science and Technology, Journal Name: Quantum Science and Technology Journal Issue: 4 Vol. 9; ISSN 2058-9565
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (38)

Minor-embedding in adiabatic quantum computation: I. The parameter setting problem journal September 2008
Minor-embedding in adiabatic quantum computation: II. Minor-universal graph design journal October 2010
Solving larger maximum clique problems using parallel quantum annealing journal May 2023
Fault-tolerant quantum computation by anyons journal January 2003
Quantum annealing with manufactured spins journal May 2011
State preservation by repetitive error detection in a superconducting quantum circuit journal March 2015
Error-corrected quantum annealing with hundreds of qubits journal February 2014
Nested quantum annealing correction journal August 2016
Analog errors in quantum annealing: doom and hope journal November 2019
Error suppression in adiabatic quantum computing with qubit ensembles journal May 2021
Quantum supremacy using a programmable superconducting processor journal October 2019
Multi-qubit correction for quantum annealers journal August 2021
Parallel quantum annealing journal March 2022
Quantum annealing algorithms for Boolean tensor networks journal May 2022
Prospects for quantum enhancement with diabatic quantum annealing journal May 2021
Topological quantum memory journal September 2002
Limitations of error corrected quantum annealing in improving the performance of Boltzmann machines journal August 2020
Mitigating algorithmic errors in quantum optimization through energy extrapolation journal November 2022
Noise dynamics of quantum annealers: estimating the effective noise using idle qubits journal April 2023
Multiple-particle interference and quantum error correction
  • Steane, Andrew
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 452, Issue 1954, p. 2551-2577 https://doi.org/10.1098/rspa.1996.0136
journal November 1996
Reliable quantum computers journal January 1998
Scheme for reducing decoherence in quantum computer memory journal October 1995
Good quantum error-correcting codes exist journal August 1996
Topological quantum error correction with optimal encoding rate journal June 2006
Surface codes: Towards practical large-scale quantum computation journal September 2012
Tunable coupler for superconducting Xmon qubits: Perturbative nonlinear model journal July 2015
Quantum annealing correction with minor embedding journal October 2015
Probing for quantum speedup in spin-glass problems with planted solutions journal October 2015
Nested quantum annealing correction at finite temperature: p -spin models journal June 2019
Towards Practical Classical Processing for the Surface Code journal May 2012
Mean Field Analysis of Quantum Annealing Correction journal June 2016
Error Mitigation for Short-Depth Quantum Circuits journal November 2017
Dynamical Decoupling of Open Quantum Systems journal March 1999
Efficient Variational Quantum Simulator Incorporating Active Error Minimization journal June 2017
Practical Quantum Error Mitigation for Near-Future Applications journal July 2018
Quantum Annealing of a Disordered Magnet journal April 1999
Ising formulations of many NP problems journal January 2014
Paths, Trees, and Flowers journal January 1965