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Motivated by notions of quantum heuristics and by average-case rather than worst-case algorithmic analysis, we define quantum computational advantage in terms of individual problem instances.
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eprint quant-ph/0511096
Dorit Aharonov, Vaughan Jones & Zeph Landau (2006): A Polynomial Quantum Algorithm for Approximating the Jones Polynomial · 2006
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In Shubhangi Saraf, editor: 35th Computational Complexity Conference (CCC 2020)
Scott Aaronson, Nai-Hui Chia, Han-Hsuan Lin, Chunhao Wang & Ruizhe Zhang (2020): On the Quantum Complexity of Closest Pair and Related Problems · 2020
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In Markus Bläser & Benjamin Monmege, editors: 38th International Symposium on Theoretical Aspects of Computer Science (STACS 2021)
Harry Buhrman, Subhasree Patro & Florian Speelman (2021): A Framework of Quantum Strong Exponential-Time Hypotheses · 2021
Later among the works it cites.
eprint 2508.05720
Hsin-Yuan Huang, Soonwon Choi, Jarrod R. McClean & John Preskill (2025): The vast world of quantum advantage · 2025
Closest in time.
eprint 2503.05625
Tuomas Laakkonen, Enrico Rinaldi, Chris N. Self, Eli Chertkov, Matthew DeCross, David Hayes, Brian Neyenhuis, Marcello Benedetti & Konstantinos Meichanetzidis (2025): Less Quantum, More Advantage: An End-to-End Quantum Algorithm for the Jones Polynomial · 2025
Closest in time.
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