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	Quantum Approximate Optimization Algorithm	Variational Quantum Eigensolver
Campo	Calcolo quantistico	Calcolo quantistico
Famiglia	Machine learning	Machine learning
Anno di origine	2014	2014
Ideatore	Edward Farhi	Alberto Peruzzo
Tipo	Hybrid quantum-classical algorithm	Hybrid quantum-classical algorithm
Fonte seminale	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.
Alias	QAOA, quantum alternating operator ansatz	VQE, hybrid quantum-classical
Correlati	4	4
Sintesi	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.