@inproceedings{zaffalon2019b,
title = {Bernstein's socks, polynomial-time provable coherence and entanglement},
author = {Benavoli, Alessio and Facchini, Alessandro and Zaffalon, Marco},
editor = {J De Bock and C de Campos and G de Cooman and E Quaeghebeur and G Wheeler},
url = {http://alessiobenavoli.com/wp-content/uploads/2019/05/benavoli19-1.pdf},
year = {2019},
date = {2019-07-07},
booktitle = {ISIPTA ;'19: Proceedings of the Eleventh International Symposium on Imprecise Probability: Theories and Applications},
publisher = {JMLR},
series = {PJMLR},
abstract = {We recently introduced a bounded rationality ap-
proach for the theory of desirable gambles. It is
based on the unique requirement that being non-
negative for a gamble has to be defined so that
it can be provable in polynomial time. In this
paper we continue to investigate properties of
this class of models. In particular we verify that
the space of Bernstein polynomials in which non-
negativity is specified by the Krivine-Vasilescu
certificate is yet another instance of this theory.
As a consequence, we show how it is possible to
construct in it a thought experiment uncovering
entanglement with classical (hence non quantum)
coins.},
keywords = {bounded rationality, Sum-of-squares polynomials},
pubstate = {published},
tppubtype = {inproceedings}
}