Post-selection games
Quantum Physics
2026-02-10 v2
Abstract
In this paper, we introduce post-selection games, a generalization of nonlocal games where each round can be not only won or lost by the players, but also discarded by the referee. Such games naturally formalize possibilistic proofs of nonlocality, such as Hardy's paradox. We develop algorithms for computing the local and Tsirelson bounds of post-selection games. Furthermore, we show that they have an unbounded advantage in statistical power over traditional nonlocal games, making them ideally suited for analysing Bell tests with low detection efficiency.
Keywords
Cite
@article{arxiv.2601.18861,
title = {Post-selection games},
author = {Víctor Calleja Rodríguez and Ivan A. Bocanegra-Garay and Mateus Araújo},
journal= {arXiv preprint arXiv:2601.18861},
year = {2026}
}
Comments
13 pages, 2 figures. v2: added citations and link to repository