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Grover's algorithm

In quantum computing, Grover's algorithm, also known as the quantum search algorithm, is a quantum algorithm for unstructured search that finds with high probability the unique input to a black box function that produces a particular output value, using just O ( N ) {\displaystyle O({\sqrt {N}})} evaluations of the function, where N {\displaystyle N} is t…

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Applications and limitations

Problem description

Algorithm

  • Measure Measurement in quantum mechanics

Geometric proof

Algebraic proof

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Grover's algorithm

Nodes56
Edges55
Triples99
Avg. degree1.96
Density0.035714
Components1

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Grover's algorithm

Top relations

related to External links · 23
Grover's algorithm → Alexander Prokopenya, Archived, Bernhard, Craig Gidney, Davy Wybiral, EMS Press, Encyclopedia, François Schwarzentruber, GitHub, Grover's, Grover's Quantum Search Algorithm, Implemented, Mathematics, Programming Language, QCL, Quantum, Quantum Circuit Implementing Grover's, Quantum Circuit Simulator, Quantum Computers, Retrieved
related to Quantum partial search · 13
Grover's algorithm → Consider, Equivalently, For, Grover, Grover's, If, In, N-b, N/2, N/K, Radhakrishnan, The, To
has application · 11
Grover's algorithm → Brassard, Generic, Grover, Grover's, However, Høyer, In, NP-complete, Tapp, The, These
related to Optimality · 11
Grover's algorithm → BQP, Grover's, Grover-type, If, N/k, NP, NP-Complete, That, The, This, Uω
related to Limitations · 9
Grover's algorithm → Fortunately, Grover's, However, In, Instead, Reading, The, This, To
related to Algorithm · 8
Grover's algorithm → Apply, Grover, Grover's, Initialize, Measure, N-1, Perform, The
related to Geometric proof · 7
Grover's algorithm → Consider, Grover's, Householder, N-1, The, There, This
related to Cryptography · 6
Grover's algorithm → Consequently, Grover's, However, Pollard's, Roughly, SHA-2
related to Problem description · 6
Grover's algorithm → As, Grover's, In, N-1, Our, We
related to Multiple matching entries · 5
Grover's algorithm → Grover's, If, N/2, N/4, There

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Important terminology

displaystyle algorithm grover's omega quantum search sqrt rangle grover iterations oracle function one algorithms state database begin frac problem end

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Grover's algorithmhas applicationGrover's0.60section
Grover's algorithmhas applicationIn0.60section
Grover's algorithmhas applicationNP-complete0.60section
Grover's algorithmhas applicationThe0.60section
Grover's algorithmhas applicationGeneric0.60section
Grover's algorithmhas applicationGrover0.60section
Grover's algorithmhas applicationThese0.60section
Grover's algorithmhas applicationHowever0.60section
Grover's algorithmhas applicationBrassard0.60section
Grover's algorithmhas applicationHøyer0.60section
Grover's algorithmhas applicationTapp0.60section
Grover's algorithmrelated to AlgorithmThe0.60section

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