Linganisha mbinu

	Mtafiti wa Kiasi wa Quantum (Variational Quantum Eigensolver)	Ukadiriaji wa Awamu ya Kiasi
Nyanja	Ukokotoaji wa Kwantamu	Ukokotoaji wa Kwantamu
Familia	Machine learning	Machine learning
Mwaka wa asili	2014	1995
Mwanzilishi	Alberto Peruzzo	Alexei Kitaev
Aina	Hybrid quantum-classical algorithm	Subroutine algorithm
Chanzo asilia	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.
Majina mbadala	VQE, hybrid quantum-classical	QPE, phase kickback
Zinazohusiana	4	3
Muhtasari	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.