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	Quantum Approximate Optimization Algorithm	変分量子固有値ソルバー
分野	量子コンピューティング	量子コンピューティング
系統	Machine learning	Machine learning
提唱年	2014	2014
提唱者	Edward Farhi	Alberto Peruzzo
種類	Hybrid quantum-classical algorithm	Hybrid quantum-classical algorithm
原典	Farhi, E., Goldstone, J., Gutmann, S. (2014). A quantum approximate optimization algorithm. arXiv preprint arXiv:1411.4028.	Peruzzo, A., McClean, J., Shadbolt, P., et al. (2014). A variational eigenvalue solver on a photonic quantum processor. Nature Communications, 5, 4213.
別名	QAOA, quantum alternating operator ansatz	VQE, hybrid quantum-classical
関連	4	4
概要	The Quantum Approximate Optimization Algorithm (QAOA) is a hybrid quantum-classical algorithm designed to solve combinatorial optimization problems on near-term quantum devices. Introduced by Farhi, Goldstone, and Gutmann in 2014, QAOA encodes optimization problems into quantum circuits and uses classical optimization to tune circuit parameters, aiming to find approximately optimal solutions for problems like MaxCut, graph coloring, and scheduling.	The Variational Quantum Eigensolver (VQE) is a hybrid quantum-classical algorithm designed to find the lowest eigenvalue (ground state energy) of a quantum Hamiltonian. Introduced by Peruzzo et al. in 2014, it exploits the variational principle to combine the power of quantum circuits with classical optimization to solve chemistry and materials science problems on near-term quantum devices.