Abstract
Logical entropy gives a measure, in the sense of measure theory, of the distinctions of a given partition of a set, an idea that can be naturally generalized to classical probability distributions. Here, we analyze how this fundamental concept and other related definitions can be applied to the study of quantum systems with the use of quantum logical entropy. Moreover, we prove several properties of this entropy for generic density matrices that may be relevant to various areas of quantum mechanics and quantum information. Furthermore, we extend the notion of quantum logical entropy to post-selected systems.
Funder
israel innovation authority
pazy foundation
planning and budgeting committee of the council for higher education of israel
foundational questions institute
Israeli Ministry of Science and Technology
Reference57 articles.
1. Operationally Invariant Information in Quantum Measurements
2. Conceptual inadequacy of the Shannon information in quantum measurements
3. Quantum entanglement and entropy
4. Cover TM, Thomas JA (2006), Elements of Information Theory, 2nd edn., Wiley, Hoboken, New Jersey.
5. Ellerman D (2013), Information as distinctions: New foundations for information theory, arXiv:1301.5607.
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