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Title: Quantum annealing correction for random Ising problems

Journal Article · · Physical Review A - Atomic, Molecular, and Optical Physics
 [1];  [2];  [3]
  1. Univ. of Southern California, Los Angeles, CA (United States). Dept. of Electrical Engineering, Center for Quantum Information Science & Technology, and Information Sciences Inst.
  2. Univ. of Southern California, Los Angeles, CA (United States). Center for Quantum Information Science & Technology, Information Sciences Inst., and Dept. of Physics and Astronomy
  3. Univ. of Southern California, Los Angeles, CA (United States). Dept. of Electrical Engineering, Center for Quantum Information Science & Technology, Information Sciences Inst., Dept. of Chemistry, and Dept. of Physics and Astronomy

Here, we demonstrate that the performance of a quantum annealer on hard random Ising optimization problems can be substantially improved using quantum annealing correction (QAC). Our error correction strategy is tailored to the D-Wave Two device. We find that QAC provides a statistically significant enhancement in the performance of the device over a classical repetition code, improving as a function of problem size as well as hardness. Moreover, QAC provides a mechanism for overcoming the precision limit of the device, in addition to correcting calibration errors. Performance is robust even to missing qubits. We present evidence for a constructive role played by quantum effects in our experiments by contrasting the experimental results with the predictions of a classical model of the device. Our work demonstrates the importance of error correction in appropriately determining the performance of quantum annealers.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); UT-Battelle LLC/ORNL, Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1565358
Alternate ID(s):
OSTI ID: 1179314
Journal Information:
Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Issue 4; ISSN 1050-2947
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 65 works
Citation information provided by
Web of Science

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Cited By (28)

Boosting quantum annealer performance via sample persistence journal May 2017
Nested quantum annealing correction journal August 2016
Analog errors in quantum annealing: doom and hope journal November 2019
Maximum-Entropy Inference with a Programmable Annealer journal March 2016
Quantum information processing with superconducting circuits: a review journal September 2017
Analog errors in Ising machines journal April 2019
Uncertain fate of fair sampling in quantum annealing journal September 2019
Decoherence in adiabatic quantum computation journal June 2015
Best-case performance of quantum annealers on native spin-glass benchmarks: How chaos can affect success probabilities journal January 2016
Quantum-annealing correction at finite temperature: Ferromagnetic p -spin models journal February 2017
Nested quantum annealing correction at finite temperature: p -spin models journal June 2019
Quantum isomer search journal January 2020
Maximum-Entropy Inference with a Programmable Annealer text January 2016
Seeking Quantum Speedup Through Spin Glasses: The Good, the Bad, and the Ugly text January 2015
Nested Quantum Annealing Correction text January 2015
Strengths and weaknesses of weak-strong cluster problems: A detailed overview of state-of-the-art classical heuristics vs quantum approaches text January 2016
Retrieving the ground state of spin glasses using thermal noise: Performance of quantum annealing at finite temperatures text January 2016
Quantum information processing with superconducting circuits: a review text January 2016
Nested Quantum Annealing Correction at Finite Temperature: $p$-spin models text January 2018
Uncertain fate of fair sampling in quantum annealing text January 2018
Finite temperature quantum annealing solving exponentially small gap problem with non-monotonic success probability journal July 2018
Lack of a thermodynamic finite-temperature spin-glass phase in the two-dimensional randomly coupled ferromagnet journal May 2018
EQUAL: Improving the Fidelity of Quantum Annealers by Injecting Controlled Perturbations preprint March 2022
Decoherence in adiabatic quantum computation text January 2015
Analog Errors in Ising Machines text January 2018
Quantum Thermodynamics: An introduction to the thermodynamics of quantum information preprint January 2019
Improved Boltzmann machines with error corrected quantum annealing text January 2019
Scaling overhead of embedding optimization problems in quantum annealing text January 2021

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