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Grover's Algoritme×Kwantum Monte Carlo×Kwantumfase-schatting×Shor's Algoritme×
VakgebiedKwantumcomputingKwantumcomputingKwantumcomputingKwantumcomputing
FamilieMachine learningMachine learningMachine learningMachine learning
Jaar van ontstaan1996195319951994
GrondleggerLov GroverNicholas Metropolis and colleaguesAlexei KitaevPeter Shor
TypeQuantum algorithmMonte Carlo simulationSubroutine algorithmQuantum algorithm
Oorspronkelijke bronGrover, 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 ↗
Aliassenquantum search, amplitude amplificationQMC, variational Monte Carlo, diffusion Monte CarloQPE, phase kickbackShor factorization, quantum factorization
Verwant3333
SamenvattingGrover'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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ScholarGateMethoden vergelijken: Grover's Algorithm · Quantum Monte Carlo · Quantum Phase Estimation · Shor's Algorithm. Geraadpleegd op 2026-06-15 via https://scholargate.app/nl/compare