Preprint
Oct 2026
Free entropy and quantum minimum description length
In free probability, Voiculescu's free entropy counts matrix microstates that approximate an operator. It is a non-commutative analog of the Shannon entropy, distinct from any quantum entropy of a density operator, but it has had no physical meaning in quantum theory. We define a finite-dimensional physical free entrop...
Patrick M. Hayden, A. Maloney, Jin-Zhao Wang et al.
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