@inproceedings{658b5a5ea59e4464b9152ae9351644fc,

title = "On oblivious amplification of coin-tossing protocols",

abstract = "We consider the problem of amplifying two-party coin-tossing protocols: given a protocol where it is possible to bias the common output by at most ρ, we aim to obtain a new protocol where the output can be biased by at most ρ? < ρ. We rule out the existence of a natural type of amplifiers called oblivious amplifiers for every ρ? < ρ. Such amplifiers ignore the way that the underlying ρ-bias protocol works and can only invoke an oracle that provides ρ-bias bits. We provide two proofs of this impossibility. The first is by a reduction to the impossibility of deterministic randomness extraction from Santha-Vazirani sources. The second is a direct proof that is more general and also rules outs certain types of asymmetric amplification. In addition, it gives yet another proof for the Santha-Vazirani impossibility.",

keywords = "Amplification, Coin tossing, Lower bound, Santha vazirani",

author = "Nir Bitansky and Nathan Geier",

note = "Publisher Copyright: {\textcopyright} Nir Bitansky and Nathan Geier.; 11th Innovations in Theoretical Computer Science Conference, ITCS 2020 ; Conference date: 12-01-2020 Through 14-01-2020",

year = "2020",

month = jan,

doi = "10.4230/LIPIcs.ITCS.2020.30",

language = "אנגלית",

series = "Leibniz International Proceedings in Informatics, LIPIcs",

publisher = "Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing",

editor = "Thomas Vidick",

booktitle = "11th Innovations in Theoretical Computer Science Conference, ITCS 2020",

}