Author

Patrick M. Hayden

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Preprint Oct 2026

Approximation theorems for fermionic Gaussian states

A recurring principle in many-body physics is that sufficiently distributed interactions or correlations lead to an effectively mean-field description. For fermionic Gaussian states, we establish a quantitative version of this principle directly at the level of Majorana covariance matrices. The main observation is that...

Amir-Reza Negari, Farzin Salek, Z. Zimborás 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