Linganisha mbinu

	Ukadiriaji wa Awamu ya Kiasi	Mtafiti wa Kiasi wa Quantum (Variational Quantum Eigensolver)
Nyanja	Ukokotoaji wa Kwantamu	Ukokotoaji wa Kwantamu
Familia	Machine learning	Machine learning
Mwaka wa asili	1995	2014
Mwanzilishi	Alexei Kitaev	Alberto Peruzzo
Aina	Subroutine algorithm	Hybrid quantum-classical algorithm
Chanzo asilia	Kitaev, A. Y. (1995). Quantum measurements and the Abelian stabilizer problem. arXiv preprint quant-ph/9511026.	Peruzzo, A., McClean, J., Shadbolt, P., et al. (2014). A variational eigenvalue solver on a photonic quantum processor. Nature Communications, 5, 4213.
Majina mbadala	QPE, phase kickback	VQE, hybrid quantum-classical
Zinazohusiana	3	4
Muhtasari	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.	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.