Abstract
Buschs theorem deriving the standard quantum probability rule can be regarded as a more general form of Gleasons theorem. Here we show that a further generalization is possible by reducing the number of quantum postulates used by Busch. We do not assume that the positive measurement outcome operators are effects or that they form a probability operator measure. We derive a more general probability rule from which the standard rule can be obtained from the normal laws of probability when there is no measurement outcome information available, without the need for further quantum postulates. Our general probability rule has prediction-retrodiction symmetry and we show how it may be applied in quantum communications and in retrodictive quantum theory.
| Original language | English |
|---|---|
| Article number | 043025 |
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | New Journal of Physics |
| Volume | 16 |
| DOIs | |
| Publication status | Published - 29 Apr 2014 |
Bibliographical note
Copyright 2014 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. First published in New J. Phys. 16, 043025. The original publication is available at http://www.doi.org/10.1088/1367-2630/16/4/043025, published by IOP Publishing. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.Fingerprint
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