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Main Authors: Rodríguez, Víctor Calleja, Bocanegra-Garay, Ivan A., Araújo, Mateus
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.18861
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author Rodríguez, Víctor Calleja
Bocanegra-Garay, Ivan A.
Araújo, Mateus
author_facet Rodríguez, Víctor Calleja
Bocanegra-Garay, Ivan A.
Araújo, Mateus
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_18861
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Post-selection games
Rodríguez, Víctor Calleja
Bocanegra-Garay, Ivan A.
Araújo, Mateus
Quantum Physics
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.
title Post-selection games
topic Quantum Physics
url https://arxiv.org/abs/2601.18861