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Shor's Algorithm×グローバーのアルゴリズム×量子鍵配送(BB84)×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 learningMachine learningMachine learningMachine learning
提唱年1994199619841995
提唱者Peter ShorLov GroverCharles Bennett and Gilles BrassardAlexei Kitaev
種類Quantum algorithmQuantum algorithmCryptographic protocolSubroutine 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. DOI ↗Grover, L. K. (1996). A fast quantum mechanical algorithm for database search. Proceedings of the 28th Annual ACM Symposium on Theory of Computing (STOC), 212–219. DOI ↗Bennett, C. H., Brassard, G. (1984). Quantum cryptography: public key distribution and coin tossing. Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing, 175–179. link ↗Kitaev, A. Y. (1995). Quantum measurements and the Abelian stabilizer problem. arXiv preprint quant-ph/9511026. link ↗
別名Shor factorization, quantum factorizationquantum search, amplitude amplificationBB84, quantum cryptographyQPE, phase kickback
関連3323
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.Grover's Algorithm is a quantum algorithm for searching an unsorted database, offering a quadratic speedup over classical linear search. Proposed by Lov Grover in 1996, it exploits quantum superposition and amplitude amplification to find a target item among N items in O(√N) queries, compared to the classical O(N) requirement.Quantum Key Distribution (QKD) BB84 is a cryptographic protocol allowing two parties to establish a shared secret key using quantum mechanics. Proposed by Bennett and Brassard in 1984, BB84 provides information-theoretic security: an eavesdropper's presence is guaranteed to be detected, and the secret key is provably secure against unlimited computational power.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.
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ScholarGate手法を比較: Shor's Algorithm · Grover's Algorithm · Quantum Key Distribution (BB84) · Quantum Phase Estimation. 2026-06-15に以下より取得 https://scholargate.app/ja/compare