Noncommuting common causes revisited
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916473631408128 |
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| author | Hofer-Szabó, Gábor Szalay, Szilárd |
| author_facet | Hofer-Szabó, Gábor Szalay, Szilárd |
| contents | In this paper, we revisit the concept of noncommuting common causes; refute two objections raised against them, the triviality objection and the lack of causal explanatory force; and explore how their existence modifies the EPR argument. More specifically, we show that 1) product states screening off all quantum correlations do not compromise noncommuting common causal explanations; 2) noncommuting common causes can satisfy the law of total probability; 3) perfect correlations can have indeterministic noncommuting common causes; and, as a combination of the above claims, 4) perfect correlations can have noncommuting common causes which are both nontrivial and satisfy the law of total probability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05468 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Noncommuting common causes revisited Hofer-Szabó, Gábor Szalay, Szilárd Quantum Physics Mathematical Physics History and Philosophy of Physics In this paper, we revisit the concept of noncommuting common causes; refute two objections raised against them, the triviality objection and the lack of causal explanatory force; and explore how their existence modifies the EPR argument. More specifically, we show that 1) product states screening off all quantum correlations do not compromise noncommuting common causal explanations; 2) noncommuting common causes can satisfy the law of total probability; 3) perfect correlations can have indeterministic noncommuting common causes; and, as a combination of the above claims, 4) perfect correlations can have noncommuting common causes which are both nontrivial and satisfy the law of total probability. |
| title | Noncommuting common causes revisited |
| topic | Quantum Physics Mathematical Physics History and Philosophy of Physics |
| url | https://arxiv.org/abs/2411.05468 |