Consistency of the Shannon entropy in quantum experiments

Abstract

The consistency of the Shannon entropy, when applied to outcomes of quantum experiments, is analysed. It is shown that the Shannon entropy is fully consistent and its properties are never violated in quantum settings, but attention must be paid to logical and experimental contexts. This last remark is shown to apply regardless of the quantum or classical nature of the experiments.

12 pages, LaTeX2e/REVTeX4. V5: slightly different than the published version

References in corpus (6)

• In defense of the epistemic view of quantum states: a toy theory
• Conceptual Inadequacy of the Shannon Information in Quantum Measurements
• Quantum Foundations in the Light of Quantum Information
• Classical Three-Box "paradox"
• Disentangling Nonlocality and Teleportation
• Quantum Measurement and Shannon Information, A Reply to M. J. W. Hall

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• A Bayesian Account of Quantum Histories
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• Bayesian Probabilities and the Histories Algebra
• `Plausibilities of plausibilities': an approach through circumstances
• Relationalism vs. Bayesianism
• Into the Fold: Searching for a Theory of Natural Inference
• Differential Entropy on Statistical Spaces