Volume 86, Number 1, April 2009
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||21 April 2009|
Fidelity measure and conservation of information in general probabilistic theories
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: email@example.com
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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