Gen Kimura, Koji Nuida, Hideki Imai
Published 2009-10-06, updated 2009-11-19Version 3
As a part of the construction of an information theory based on general probabilistic theories, we propose and investigate the several distinguishability measures and "entropies" in general probabilistic theories. As their applications, no-cloning theorems, information-disturbance theorems are reformulated, and a bound of the accessible informations is discussed in any general probabilistic theories, not resorting to quantum theory.
Comments: 17 pages, 1 figure, Related but independent works (arXiv:0909.4801 and arXiv:0909.5075) have appeared recently while we were completing this paper. In v2, we added the reference (arXiv:0909.4801); In v3, "mimimum" is changed to "infimum" in the definition of fidelity so that it is more rigorous
Journal: Rep. Math. Phys. 66, 175 (2010)
Gentle Measurement as a Principle of Quantum Theory
A formalism-local framework for general probabilistic theories including quantum theory
Simulating all non-signalling correlations via classical or quantum theory with negative probabilities
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