手法を比較

	量子位相推定	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	1995	2014
提唱者	Alexei Kitaev	Alberto Peruzzo
種類	Subroutine algorithm	Hybrid quantum-classical algorithm
原典	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.
別名	QPE, phase kickback	VQE, hybrid quantum-classical
関連	3	4
概要	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.