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	Shor's Algorithm	量子位相推定
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	1994	1995
提唱者	Peter Shor	Alexei Kitaev
種類	Quantum algorithm	Subroutine algorithm
原典	Shor, P. W. (1994). Algorithms for quantum computation: discrete logarithms and factoring. Proceedings of the 35th Annual Symposium on Foundations of Computer Science, 124–134.	Kitaev, A. Y. (1995). Quantum measurements and the Abelian stabilizer problem. arXiv preprint quant-ph/9511026.
別名	Shor factorization, quantum factorization	QPE, phase kickback
関連	3	3
概要	Shor's Algorithm is a polynomial-time quantum algorithm for factoring large integers and computing discrete logarithms, problems believed to be intractable on classical computers. Discovered by Peter Shor in 1994, it demonstrated the potential of quantum computers to break widely used cryptographic systems like RSA, marking a landmark in quantum computing theory.	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.