Author

Yu-Xiang Yang

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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. · 1 citation

Preprint Oct 2026

Quantum minimum description of density matrices

We study a variant of Schumacher compression. The task asks for the minimal memory cost for compressing many copies of a density matrix with known spectrum and unknown eigenbasis, without preserving its purification. For fixed dimension and distinct positive eigenvalues, we obtain the cost through its additive constant...

Patrick M. Hayden, Alexander Maloney, Jin-Zhao Wang et al. · 1 citation