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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | https://arxiv.org/abs/2303.13617 |
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| _version_ | 1866909418580344832 |
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| author | Griffiths, Robert B. |
| author_facet | Griffiths, Robert B. |
| contents | Developing a quantum analog of the modern classical theory of causation, as formulated by Pearl and others using directed acyclic graphs, requires a theory of random or stochastic time development at the microscopic level, where the noncommutation of Hilbert-space projectors cannot be ignored. The Consistent Histories approach provides such a theory. How it works is shown by applying it to simple examples involving beam splitters and a Mach-Zehnder interferometer. It justifies the usual laboratory intuition that properly tested apparatus can reveal the earlier microscopic cause (e.g., as in radioactive decay) of a later macroscopic meassurement outcome. This approach is further illustrated by how it resolves the Bell inequalities paradox. The use of quantum circuits in discussions of quantum information in a time-irreversible manner can prevent the proper identification of earlier causes; this is illustrated using a specific circuit in the case of Bell inequalities. The approach to quantum causes known as Quantum Causal Models fails becuase it is not based upon a satisfactory theory of quantum random processes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_13617 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Consistent Quantum Causes Griffiths, Robert B. Quantum Physics Developing a quantum analog of the modern classical theory of causation, as formulated by Pearl and others using directed acyclic graphs, requires a theory of random or stochastic time development at the microscopic level, where the noncommutation of Hilbert-space projectors cannot be ignored. The Consistent Histories approach provides such a theory. How it works is shown by applying it to simple examples involving beam splitters and a Mach-Zehnder interferometer. It justifies the usual laboratory intuition that properly tested apparatus can reveal the earlier microscopic cause (e.g., as in radioactive decay) of a later macroscopic meassurement outcome. This approach is further illustrated by how it resolves the Bell inequalities paradox. The use of quantum circuits in discussions of quantum information in a time-irreversible manner can prevent the proper identification of earlier causes; this is illustrated using a specific circuit in the case of Bell inequalities. The approach to quantum causes known as Quantum Causal Models fails becuase it is not based upon a satisfactory theory of quantum random processes. |
| title | Consistent Quantum Causes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2303.13617 |