dorsal/arxiv
View SchemaApproximate and Exact Consistency of Histories
| Authors | J. N. McElwaine |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9506034 |
| URL | https://arxiv.org/abs/quant-ph/9506034 |
| DOI | 10.1103/PhysRevA.53.2021 |
Abstract
The consistent histories formalism is discussed using path-projected states. These are used to analyse various criteria for approximate consistency. The connection between the Dowker-Halliwell criterion and sphere packing problems is shown and used to prove several new bounds on the violation of probability sum rules. The quantum Zeno effect is also analysed within the consistent histories formalism and used to demonstrate some of the difficulties involved in discussing approximate consistency. The complications associated with null histories and infinite sets are briefly discussed.
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"abstract": "The consistent histories formalism is discussed using path-projected states.\nThese are used to analyse various criteria for approximate consistency. The\nconnection between the Dowker-Halliwell criterion and sphere packing problems\nis shown and used to prove several new bounds on the violation of probability\nsum rules. The quantum Zeno effect is also analysed within the consistent\nhistories formalism and used to demonstrate some of the difficulties involved\nin discussing approximate consistency. The complications associated with null\nhistories and infinite sets are briefly discussed.",
"arxiv_id": "quant-ph/9506034",
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"doi": "10.1103/PhysRevA.53.2021",
"title": "Approximate and Exact Consistency of Histories",
"url": "https://arxiv.org/abs/quant-ph/9506034"
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