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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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Is uncertainty and correlations actualy the same thing?
Thus, it cannot be entangled with anything else and the entropy is zero.
In the latter case, the state is maximally mixed. … Indeed, the entropy is maximum.
Of course, Von Neumann entropy also quantifies the uncertainty "in the preparation of a state" (like Shannon entropy does in classical communication theory). …