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Quantum minimum description of density matrices
Patrick Hayden, Alexander Maloney, Jinzhao Wang +1
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,…
Free entropy and quantum minimum description length
Patrick Hayden, Alexander Maloney, Jinzhao Wang +1
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 quan…
Approximation theorems for fermionic Gaussian states
Amir-Reza Negari, Farzin Salek, Zoltán Zimborás +3
A recurring principle in many-body physics is that sufficiently distributed interactions or correlations lead to an effectively mean-field description. For fermionic Gaussian state…