Improving Quantum Approximate Optimization by Noise-Directed Adaptive Remapping Article Swipe
Filip B. Maciejewski
,
Jacob Biamonte
,
Stuart Hadfield
,
Davide Venturelli
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.22331/q-2025-11-06-1906
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.22331/q-2025-11-06-1906
We present Noise-Directed Adaptive Remapping (NDAR), a heuristic algorithm for approximately solving binary optimization problems by leveraging certain types of noise. We consider access to a noisy quantum processor with dynamics that features a global attractor state. In a standard setting, such noise can be detrimental to the quantum optimization performance. Our algorithm bootstraps the noise attractor state by iteratively gauge-transforming the cost-function Hamiltonian in a way that transforms the noise attractor into higher-quality solutions. The transformation effectively changes the attractor into a higher-quality solution of the Hamiltonian based on the results of the previous step. The end result is that noise aids variational optimization, as opposed to hindering it. We present an improved Quantum Approximate Optimization Algorithm (QAOA) runs in experiments on Rigetti's quantum device. We report approximation ratios - for random, fully connected graphs on qubits, using only depth QAOA with NDAR. This compares to - for standard QAOA with the same number of function calls.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.22331/q-2025-11-06-1906
- https://quantum-journal.org/papers/q-2025-11-06-1906/pdf/
- OA Status
- gold
- Cited By
- 3
- References
- 80
- OpenAlex ID
- https://openalex.org/W4415962224
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https://doi.org/10.22331/q-2025-11-06-1906Digital Object Identifier
- Title
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Improving Quantum Approximate Optimization by Noise-Directed Adaptive RemappingWork title
- Type
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articleOpenAlex work type
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
-
2025-11-06Full publication date if available
- Authors
-
Filip B. Maciejewski, Jacob Biamonte, Stuart Hadfield, Davide VenturelliList of authors in order
- Landing page
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https://doi.org/10.22331/q-2025-11-06-1906Publisher landing page
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https://quantum-journal.org/papers/q-2025-11-06-1906/pdf/Direct link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://quantum-journal.org/papers/q-2025-11-06-1906/pdf/Direct OA link when available
- Cited by
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3Total citation count in OpenAlex
- Citations by year (recent)
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2025: 3Per-year citation counts (last 5 years)
- References (count)
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80Number of works referenced by this work
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| abstract_inverted_index.into | 72, 81 |
| abstract_inverted_index.only | 153 |
| abstract_inverted_index.runs | 119 |
| abstract_inverted_index.same | 187 |
| abstract_inverted_index.such | 41 |
| abstract_inverted_index.that | 31, 67, 100 |
| abstract_inverted_index.with | 29, 162, 185 |
| abstract_inverted_index.NDAR. | 163 |
| abstract_inverted_index.based | 88 |
| abstract_inverted_index.depth | 154 |
| abstract_inverted_index.fully | 141 |
| abstract_inverted_index.noise | 42, 55, 70, 101 |
| abstract_inverted_index.noisy | 26 |
| abstract_inverted_index.state | 57 |
| abstract_inverted_index.step. | 95 |
| abstract_inverted_index.types | 18 |
| abstract_inverted_index.using | 152 |
| abstract_inverted_index.(QAOA) | 118 |
| abstract_inverted_index.access | 23 |
| abstract_inverted_index.binary | 12 |
| abstract_inverted_index.calls. | 191 |
| abstract_inverted_index.global | 34 |
| abstract_inverted_index.graphs | 143 |
| abstract_inverted_index.noise. | 20 |
| abstract_inverted_index.number | 188 |
| abstract_inverted_index.ratios | 129 |
| abstract_inverted_index.report | 127 |
| abstract_inverted_index.result | 98 |
| abstract_inverted_index.state. | 36 |
| abstract_inverted_index.(NDAR), | 5 |
| abstract_inverted_index.Quantum | 114 |
| abstract_inverted_index.certain | 17 |
| abstract_inverted_index.changes | 78 |
| abstract_inverted_index.device. | 125 |
| abstract_inverted_index.opposed | 106 |
| abstract_inverted_index.present | 1, 111 |
| abstract_inverted_index.quantum | 27, 48, 124 |
| abstract_inverted_index.qubits, | 151 |
| abstract_inverted_index.random, | 140 |
| abstract_inverted_index.results | 91 |
| abstract_inverted_index.solving | 11 |
| abstract_inverted_index.Adaptive | 3 |
| abstract_inverted_index.compares | 165 |
| abstract_inverted_index.consider | 22 |
| abstract_inverted_index.dynamics | 30 |
| abstract_inverted_index.features | 32 |
| abstract_inverted_index.function | 190 |
| abstract_inverted_index.improved | 113 |
| abstract_inverted_index.previous | 94 |
| abstract_inverted_index.problems | 14 |
| abstract_inverted_index.setting, | 40 |
| abstract_inverted_index.solution | 84 |
| abstract_inverted_index.standard | 39, 177 |
| abstract_inverted_index.<mml:math | 130, 135, 145, 155, 167, 172, 178 |
| abstract_inverted_index.Algorithm | 117 |
| abstract_inverted_index.Remapping | 4 |
| abstract_inverted_index.Rigetti's | 123 |
| abstract_inverted_index.algorithm | 8, 52 |
| abstract_inverted_index.attractor | 35, 56, 71, 80 |
| abstract_inverted_index.connected | 142 |
| abstract_inverted_index.heuristic | 7 |
| abstract_inverted_index.hindering | 108 |
| abstract_inverted_index.processor | 28 |
| abstract_inverted_index.bootstraps | 53 |
| abstract_inverted_index.leveraging | 16 |
| abstract_inverted_index.solutions. | 74 |
| abstract_inverted_index.transforms | 68 |
| abstract_inverted_index.</mml:math> | 133, 138, 150, 160, 170, 175, 183 |
| abstract_inverted_index.Approximate | 115 |
| abstract_inverted_index.Hamiltonian | 63, 87 |
| abstract_inverted_index.detrimental | 45 |
| abstract_inverted_index.effectively | 77 |
| abstract_inverted_index.experiments | 121 |
| abstract_inverted_index.iteratively | 59 |
| abstract_inverted_index.variational | 103 |
| abstract_inverted_index.Optimization | 116 |
| abstract_inverted_index.optimization | 13, 49 |
| abstract_inverted_index.performance. | 50 |
| abstract_inverted_index.approximately | 10 |
| abstract_inverted_index.approximation | 128 |
| abstract_inverted_index.cost-function | 62 |
| abstract_inverted_index.optimization, | 104 |
| abstract_inverted_index.Noise-Directed | 2 |
| abstract_inverted_index.higher-quality | 73, 83 |
| abstract_inverted_index.transformation | 76 |
| abstract_inverted_index.<mml:mi>n</mml:mi> | 147 |
| abstract_inverted_index.<mml:mi>p</mml:mi> | 157, 180 |
| abstract_inverted_index.<mml:mn>1</mml:mn> | 159, 182 |
| abstract_inverted_index.<mml:mo>=</mml:mo> | 148, 158, 181 |
| abstract_inverted_index.gauge-transforming | 60 |
| abstract_inverted_index.<mml:mn>82</mml:mn> | 149 |
| abstract_inverted_index.<mml:mn>0.9</mml:mn> | 132 |
| abstract_inverted_index.<mml:mn>0.34</mml:mn> | 169 |
| abstract_inverted_index.<mml:mn>0.51</mml:mn> | 174 |
| abstract_inverted_index.<mml:mn>0.96</mml:mn> | 137 |
| abstract_inverted_index.xmlns:mml="http://www.w3.org/1998/Math/MathML"> | 131, 136, 146, 156, 168, 173, 179 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile |