The free entropy equality problem asks whether finite microstates free entropy forces equality with nonmicrostates
free entropy:
The tuple consists of bounded self-adjoint elements in a von Neumann algebra with a faithful normal
tracial state. The microstates entropy uses an operator-norm cutoff and an upper limit over matrix
sizes.
See also
Free Entropy,
Free
Fisher Information,
von Neumann Algebra
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References
Voiculescu, D. "Free Entropy." Bull. London
Math. Soc. 34, 257-278, 2002. https://doi.org/10.1112/S0024609301008992.
Cite this as:
Weisstein, Eric W. "Free Entropy Equality Problem."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FreeEntropyEqualityProblem.html
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