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Updated: Sep 26, 2025

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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
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Comparison between a quantum annealer and a classical approximation algorithm for computing the ground state of an
Ran Yaacoby1, Nathan Schaar2, Leon Kellerhals2
1Department of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel.
Physical Review. E
|April 16, 2022
Summary
D-Wave
Area of Science:
- Computational physics and quantum computing.
- Algorithm analysis and performance benchmarking.
Background:
- The Ising spin glass problem is NP-hard, necessitating approximation algorithms.
- Quantum annealers, like D-Wave's, are suited for Ising spin glass problems on specific graph types.
Purpose of the Study:
- To compare the performance of D-Wave's quantum annealer against classical approximation algorithms for the Ising spin glass problem.
- To evaluate D-Wave's performance on Chimera architecture against specialized heuristics.
Main Methods:
- Benchmarking D-Wave's quantum annealer against a novel classical approximation algorithm.
- Comparing D-Wave's performance on Chimera graphs with a tailored heuristic algorithm.
- Testing with various weight distributions: Gaussian, uniform, and discrete binary.
Main Results:
- D-Wave consistently found better approximations for all tested Ising spin glass instances.
- D-Wave exhibited significantly faster convergence times compared to classical methods.
- The quantum annealer demonstrated superior performance for specific problem instances.
Conclusions:
- D-Wave's quantum annealer shows promise for solving Ising spin glass problems with bounded-degree graphs.
- Performance comparisons should include approximation algorithms, not just exact classical solvers.
- This study provides a framework for evaluating quantum computing performance.
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