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Алгоритм Гровера×Квантовый Монте-Карло×Квантовое оценивание фазы×Алгоритм Шора×
ОбластьКвантовые вычисленияКвантовые вычисленияКвантовые вычисленияКвантовые вычисления
СемействоMachine learningMachine learningMachine learningMachine learning
Год появления1996195319951994
Автор методаLov GroverNicholas Metropolis and colleaguesAlexei KitaevPeter Shor
ТипQuantum algorithmMonte Carlo simulationSubroutine algorithmQuantum algorithm
Основополагающий источникGrover, 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 ↗Metropolis, N., Rosenbluth, A. W., et al. (1953). Equation of state calculations by fast computing machines. Journal of Chemical Physics, 21, 1087–1092. DOI ↗Kitaev, A. Y. (1995). Quantum measurements and the Abelian stabilizer problem. arXiv preprint quant-ph/9511026. link ↗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 ↗
Другие названияquantum search, amplitude amplificationQMC, variational Monte Carlo, diffusion Monte CarloQPE, phase kickbackShor factorization, quantum factorization
Связанные3333
СводкаGrover'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 Monte Carlo (QMC) is a stochastic computational method for computing ground state properties of quantum many-body systems. Combining classical Monte Carlo sampling with quantum mechanics, QMC approaches are among the most accurate methods available for electronic structure and condensed matter physics, achieving sub-percent accuracy for many systems.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.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.
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ScholarGateСравнение методов: Grover's Algorithm · Quantum Monte Carlo · Quantum Phase Estimation · Shor's Algorithm. Получено 2026-06-15 из https://scholargate.app/ru/compare