Bernstein's socks and polynomial-time provable coherence
Quantum Physics
2019-03-12 v1 Optimization and Control
Abstract
We recently introduced a bounded rationality approach 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.
Cite
@article{arxiv.1903.04406,
title = {Bernstein's socks and polynomial-time provable coherence},
author = {Alessio Benavoli and Alessandro Facchini and Marco Zaffalon},
journal= {arXiv preprint arXiv:1903.04406},
year = {2019}
}