| Issue |
EPL
Volume 86, Number 1, April 2009
|
|
|---|---|---|
| Article Number | 18004 | |
| Number of page(s) | 6 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/86/18004 | |
| Published online | 21 April 2009 | |
Fidelity measure and conservation of information in general probabilistic theories
1
Department of Physics, University of Pretoria - 0002 Pretoria, South Africa
2
National University La Plata, UNLP-CREG-CONICET - C.C. 727, 1900 La Plata, Argentina
3
Instituto Carlos I de Física Teórica y Computacional, University of Granada - Granada, Spain, EU
Corresponding author: arplastino@maple.up.ac.za
Received:
12
January
2009
Accepted:
16
March
2009
We investigate the main features of a measure of fidelity between states in a general family of probabilistic theories admitting classical probability theory and standard quantum theory as particular instances. We apply the aforementioned measure to investigate information-theoretical features of these theories related to the conservation of information during the evolution of closed physical systems. In particular, we derive a generalization of a fundamental result in quantum theory relevant for the measurement problem: Zurek's recent extension of the no-cloning theorem.
PACS: 89.70.-a – Information and communication theory / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems / 03.65.Ta – Foundations of quantum mechanics; measurement theory
© EPLA, 2009
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