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We discuss several mappings from well-known NP-hard problems to Quadratic Unconstrained Binary Optimisation problems which are treated incorrectly by Lucas.
Quantum optimization of fully connected spin glasses
D. Venturelli, S. Mandra, S. Knysh, B. O’Gorman, R. Biswas, and V. Smelyanskiy · 1911
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Discrete-variable extremum problems
G. B. Dantzig · 1957
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Reducibility among combinatorial problems
R. M. Karp · 1972
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On the computational complexity of ising spin glass models
F. Barahona · 1982
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A probabilistic heuristic for a computationally difficult set covering problem
T. A. Feo and M. G. Resende · 1989
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Computers and Intractability; A Guide to the Theory of NP-Completeness
M. R. Garey and D. S. Johnson · 1990
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Anderson localization makes adiabatic quantum optimization fail
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N. G. Dickson and M. Amin · 2011
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A. Lucas · 2014
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Defining and detecting quantum speedup
T. F. Rønnow, Z. Wang, J. Job, S. Boixo, S. V. Isakov, D. Wecker, J. M. Martinis, D. A. Lidar, and M. Troyer · 2014
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Quantum versus classical annealing of ising spin glasses
B. Heim, T. F. Rønnow, S. V. Isakov, and M. Troyer · 2015
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A case study in programming a quantum annealer for hard operational planning problems
E. G. Rieffel, D. Venturelli, B. O’Gorman, M. B. Do, E. M. Prystay, and V. N. Smelyanskiy · 2015
Later among the works it cites.
Hard combinatorial problems and minor embeddings on lattice graphs
A. Lucas · 2019
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