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	Variational Quantum Eigensolver	Stima di Fase Quantistica
Campo	Calcolo quantistico	Calcolo quantistico
Famiglia	Machine learning	Machine learning
Anno di origine	2014	1995
Ideatore	Alberto Peruzzo	Alexei Kitaev
Tipo	Hybrid quantum-classical algorithm	Subroutine algorithm
Fonte seminale	Peruzzo, A., McClean, J., Shadbolt, P., et al. (2014). A variational eigenvalue solver on a photonic quantum processor. Nature Communications, 5, 4213.	Kitaev, A. Y. (1995). Quantum measurements and the Abelian stabilizer problem. arXiv preprint quant-ph/9511026.
Alias	VQE, hybrid quantum-classical	QPE, phase kickback
Correlati	4	3
Sintesi	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.	Quantum Phase Estimation (QPE) is a fundamental quantum subroutine that estimates the eigenvalues of a unitary operator. Developed by Alexei Kitaev in 1995, QPE combines controlled unitary evolution with the quantum Fourier transform to extract eigenvalues from quantum states with exponential precision scaling.