TY - GEN
T1 - The Bayesian learner is optimal for noisy binary search (and pretty good for quantum as well)
AU - Or, Michael Ben
AU - Hassidim, Avinatan
PY - 2008
Y1 - 2008
N2 - We use a Bayesian approach to optimally solve problems in noisy binary search. We deal with two variants: Each comparison is erroneous with independent probability 1 - p. At each stage k comparisons can be performed in parallel and a noisy answer is returned. We present a (classical) algorithm which solves both variants optimally (with respect to p and k), up to an additive term of O(loglog n), and prove matching informationtheoretic lower bounds. We use the algorithm to improve the results of Farhi et al. [11], presenting an exact quantum search algorithm in an ordered list of expected complexity less than (log2 n)/3.
AB - We use a Bayesian approach to optimally solve problems in noisy binary search. We deal with two variants: Each comparison is erroneous with independent probability 1 - p. At each stage k comparisons can be performed in parallel and a noisy answer is returned. We present a (classical) algorithm which solves both variants optimally (with respect to p and k), up to an additive term of O(loglog n), and prove matching informationtheoretic lower bounds. We use the algorithm to improve the results of Farhi et al. [11], presenting an exact quantum search algorithm in an ordered list of expected complexity less than (log2 n)/3.
UR - http://www.scopus.com/inward/record.url?scp=57949112800&partnerID=8YFLogxK
U2 - 10.1109/FOCS.2008.58
DO - 10.1109/FOCS.2008.58
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???
AN - SCOPUS:57949112800
SN - 9780769534367
T3 - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
SP - 221
EP - 230
BT - Proceedings of the 49th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2008
T2 - 49th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2008
Y2 - 25 October 2008 through 28 October 2008
ER -