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Peer-reviewedCC BY 4.0Quantum

Post-selection games

  • Víctor Calleja Rodríguez1
  • Ivan A. Bocanegra-Garay1
  • Mateus Araújo1,2
  1. 1Departamento de Física Teórica, Atómica y Óptica, Universidad de Valladolid, 47011 Valladolid, Spain
  2. 2Laboratory for Disruptive Interdisciplinary Science (LaDIS), Universidad de Valladolid, 47011 Valladolid, Spain.
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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.

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Cite

BibTeXRIS
BibTeX
@article{rodriguez2026postselection,
  title = {{Post-selection games}},
  author = {Víctor Calleja Rodríguez and Ivan A. Bocanegra-Garay and Mateus Araújo},
  journal = {Quantum},
  year = {2026},
  month = nov,
  doi = {10.22331/q-2026-11-05-2259},
  url = {https://quantum-journal.org/papers/q-2026-11-05-2259/},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Post-selection games
AU  - Víctor Calleja Rodríguez
AU  - Ivan A. Bocanegra-Garay
AU  - Mateus Araújo
PY  - 2026
DA  - 2026/11/05
JO  - Quantum
DO  - 10.22331/q-2026-11-05-2259
UR  - https://quantum-journal.org/papers/q-2026-11-05-2259/
AB  - 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.
SN  - 2521-327X
ER  -