The Axiom of Choice and the No-Signaling Principle
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911451143208960 |
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| author | Baumeler, Ämin Dakić, Borivoje Del Santo, Flavio |
| author_facet | Baumeler, Ämin Dakić, Borivoje Del Santo, Flavio |
| contents | We show that the axiom of choice, a basic yet controversial postulate of set theory, leads to revise the standard understanding of one of the pillars of our best physical theories, namely the no-signaling principle. While it is well known that probabilistic no-signaling resources (such as quantum non-locality) are stronger than deterministic ones, we show-by invoking the axiom of choice-the opposite: Functional (deterministic) no-signaling resources can be stronger than probabilistic ones. To prove this, we devise a Bell-like game that shows a systematic advantage of functional no-signaling with respect to any probabilistic no-signaling resource. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_08467 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Axiom of Choice and the No-Signaling Principle Baumeler, Ämin Dakić, Borivoje Del Santo, Flavio Quantum Physics We show that the axiom of choice, a basic yet controversial postulate of set theory, leads to revise the standard understanding of one of the pillars of our best physical theories, namely the no-signaling principle. While it is well known that probabilistic no-signaling resources (such as quantum non-locality) are stronger than deterministic ones, we show-by invoking the axiom of choice-the opposite: Functional (deterministic) no-signaling resources can be stronger than probabilistic ones. To prove this, we devise a Bell-like game that shows a systematic advantage of functional no-signaling with respect to any probabilistic no-signaling resource. |
| title | The Axiom of Choice and the No-Signaling Principle |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2206.08467 |