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Combinatorial optimization is regarded as a potentially promising application of near and long-term quantum computers.
Farhi, E., Goldstone, J., Gutmann, S., and Zhou, L. (2019) · 1910
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Reinforcement-learning-based variational quantum circuits optimization for combinatorial problems
Khairy, S., Shaydulin, R., Cincio, L., Alexeev, Y., and Balaprakash, P. (2019) · 1911
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Elementary theory of angular momentum
Rose, M. E. (1957) · 1957
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On the limited memory BFGS method for large scale optimization
Liu, D. C. and Nocedal, J. (1989) · 1989
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Quantum search heuristics
Hogg, T. (2000) · 2000
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Random Graphs
Bollobás, B. (2001) · 2001
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Connected components in random graphs with given expected degree sequences
Chung, F. and Lu, L. (2002) · 2002
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The quantum approximate optimization algorithm needs to see the whole graph: A typical case
Farhi, E., Gamarnik, D., and Gutmann, S. (2020a) · 2004
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The quantum approximate optimization algorithm needs to see the whole graph: Worst case examples
Farhi, E., Gamarnik, D., and Gutmann, S. (2020b) · 2005
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The NLopt nonlinear-optimization package
Johnson, S. G. (2011) · 2011
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The Sherrington-Kirkpatrick model
Panchenko, D. (2013) · 2013
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Quantum supremacy through the Quantum Approximate Optimization Algorithm
Farhi, E. and Harrow, A. (2016) · 2016
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The theory of variational hybrid quantum-classical algorithms
McClean, J. R., Romero, J., Babbush, R., and Aspuru-Guzik, A. (2016) · 2016
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Hand-waving and interpretive dance: an introductory course on tensor networks
Bridgeman, J. C. and Chubb, C. T. (2017) · 2017
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Extremal cuts of sparse random graphs
Dembo, A., Montanari, A., and Sen, S. (2017) · 2017
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Learning to optimize variational quantum circuits to solve combinatorial problems
Khairy, S., Shaydulin, R., Cincio, L., Alexeev, Y., and Balaprakash, P. (2020) · 2020
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Quantum optimization with a novel gibbs objective function and ansatz architecture search
Li, L., Fan, M., Coram, M., Riley, P., and Leichenauer, S. (2020) · 2020
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Policy gradient based quantum approximate optimization algorithm
Yao, J., Bukov, M., and Lin, L. (2020) · 2020
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Quantum approximate optimization algorithm: Performance, mechanism, and implementation on near-term devices
Zhou, L., Wang, S.-T., Choi, S., Pichler, H., and Lukin, M. D. (2020) · 2020
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Parameter concentration in quantum approximate optimization
Akshay, V., Rabinovich, D., Campos, E., and Biamonte, J. (2021) · 2021
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Brandao, F. G. S. L., Broughton, M., Farhi, E., Gutmann, S., and Neven, H. (2018) · 2018
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Wang, Z., Hadfield, S., Jiang, Z., and Rieffel, E. G. (2018) · 2018
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A quantum approximate optimization algorithm
Farhi, E., Goldstone, J., and Gutmann, S. (2014a)
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A quantum approximate optimization algorithm applied to a bounded occurrence constraint problem
Farhi, E., Goldstone, J., and Gutmann, S. (2014b)
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Variational quantum algorithms
Cerezo, M., Arrasmith, A., Babbush, R., Benjamin, S. C., Endo, S., Fujii, K., McClean, J. R., Mitarai, K., Yuan, X., Cincio, L., and Coles, P. J. (2021) · 2021
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Limitations of local quantum algorithms on maximum cuts of sparse hypergraphs and beyond
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Quantum annealing initialization of the quantum approximate optimization algorithm
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