Approximate and Exact Consistency of Histories

Details Approximate and Exact Consistency of Histories Approximate and Exact Consistency of Histories

1995-06-21

arxiv.org/abs/quant-ph/9506034v2

Physics

Quantum Physics

32 pages, revtex, no figures. Explanations improved, one proof extended. To appear Phys. Rev A 1st March 96

Scientific paper

10.1103/PhysRevA.53.2021

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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