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We consider the quantum version of the bandit problem known as {\em best arm identification} (BAI).
on the likelihood that one unknown probability distribution exceeds another in view of the evidence ot two samples
William R. Thompson · 1933
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Probability inequalities for sums of bounded random variables
Wassily Hoeffding · 1963
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Asymptotically efficient adaptive allocation rules
Tze Leung Lai and Herbert Robbins · 1985
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Neuro-dynamic programming
Dimitri P. Bertsekas and John N. Tsitsiklis · 1996
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A fast quantum mechanical algorithm for database search
Lov K. Grover · 1996
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Reinforcement learning: A survey
Leslie Pack Kaelbling, Michael L. Littman, and Andrew P. Moore · 1996
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Quantum computers can search rapidly by using almost any transformation
Lov K. Grover · 1998
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Quantum Amplitude Amplification and Estimation
Gilles Brassard, Peter Hoyer, Michele Mosca, and Alain Tapp · 2000
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Finite-time analysis of the multiarmed bandit problem
Peter Auer, Nicolò Cesa-Bianchi, and Paul Fischer · 2002
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Spatial search by quantum walk
Andrew M. Childs and Jeffrey Goldstone · 2004
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Quantum speed-up for unsupervised learning
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Machine learning & artificial intelligence in the quantum domain: a review of recent progress
Vedran Dunjko and Hans J. Briegel · 2018
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