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The Quantum Approximate Optimization Algorithm, QAOA, uses a shallow depth quantum circuit to produce a parameter dependent state.
Journal of Algorithms, Volume 53 Issue 2, Pages 169-185
Eran Halperin, Dror Livnat, Uri Zwick. MAX CUT in cubic graphs, 2004 · 2004
Earlier work this paper cites.
Edward Farhi, Jeffrey Goldstone, Sam Gutmann. A Quantum Approximate Optimization Algorithm, 2014 · 2014
Earlier work this paper cites.
Edward Farhi, Jeffrey Goldstone, Sam Gutmann. A Quantum Approximate Optimization Algorithm Applied to a Bounded Occurrence Constraint Problem, 2015 · 2015
Earlier work this paper cites.
Electronic Colloquium on Computational Complexity, Report No. 82 (2015). arXiv:1505.03424 [cs.CC]
Boaz Barak, Ankur Moitra, Ryan O’Donnell, Prasad Raghavendra, Oded Regev, David Steurer, Luca Trevisan, Aravindan Vijayaraghavan, David Witmer, John Wright. Beating the random assignment on constraint satisfaction problems of bounded degree, 2015 · 2015
Earlier work this paper cites.
Johan Håstad. Improved bounds for bounded occurrence constraint satisfaction, 2015. https://www.nada.kth.se/~johanh/bounded2.pdf
2015
Cited alongside, same era.
Phys. Rev. A, Volume 94 Issue 2, Pages 022309
D. Wecker, M. B. Hastings, M. Troyer. Training A Quantum Optimizer, 2016 · 2016
Cited alongside, same era.
Charles Bordenave. Lecture Notes on Random Graphs and Probabilistic Combinatorial Optimization. 2016. www.math.univ-toulouse.fr/ bordenave/coursRG.pdf
2016
Cited alongside, same era.
Gavin E. Crooks. Performance of the Quantum Approximate Optimization Algorithm on the Maximum Cut Problem, 2018 · 2018
Closest in time.
Leo Zhou, Sheng-Tao Wang, Soonwon Choi, Hannes Pichler, Mikhail D. Lukin. Quantum Approximate Optimization Algorithm: Performance, Mechanism, and Implementation on Near-Term Devices, 2018 · 2018
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Sergey Bravyi, Dan Browne, Padraic Calpin, Earl Campbell, David Gosset, Mark Howard. Simulation of quantum circuits by low-rank stabilizer decompositions, 2018 · 2018
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