Amplitude amplification is a technique in quantum computing which generalizes the idea behind Grover's search algorithm, and gives rise to a family of quantum algorithms.
It was discovered by Gilles Brassard and Peter Høyer in 1997,[1] and independently rediscovered by Lov Grover in 1998.[2]
In a quantum computer, amplitude amplification can be used to obtain a quadratic speedup over several classical algorithms.
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Gilles Brassard; Peter Høyer (June 1997). "An exact quantum polynomial-time algorithm for Simon's problem". Proceedings of the Fifth Israeli Symposium on Theory of Computing and Systems. IEEE Computer Society Press. pp. 12–23. arXiv:quant-ph/9704027. Bibcode:1997quant.ph..4027B. doi:10.1109/ISTCS.1997.595153. ISBN 0-8186-8037-7. S2CID 5177739.
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Grover, Lov K. (May 1998). "Quantum Computers Can Search Rapidly by Using Almost Any Transformation". Phys. Rev. Lett. 80 (19): 4329–4332. arXiv:quant-ph/9712011. Bibcode:1998PhRvL..80.4329G. doi:10.1103/PhysRevLett.80.4329. S2CID 17879840.
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