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An important extensive property of all systems in thermodynamics, statistical mechanics, and information theory, quantifying their disorder (randomness), i.e., our lack of information about them. It characterizes the degree to which the energy of the system is *not* available to do useful work.
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Entropy increase vs Conservation of information (QM)
The information interpretation of entropy, also known as Shannon entropy, interprets entropy as an increase over time in the amount of information contained in a closed system. … Loosely: In quantum mechanics, it is the total uncompressed information, while in Shannon entropy, it is the total compressed information. …