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quant-ph2025
Entanglement entropy bounds for pure states of rapid decorrelation
Michael Aizenman, Simone Warzel
For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we c…
quant-ph2024
Ruminations on Matrix Convexity and the Strong Subadditivity of Quantum Entropy
Michael Aizenman, Giorgio Cipolloni
The familiar second derivative test for convexity, combined with resolvent calculus, is shown to yield a useful tool for the study of convex matrix-valued functions. We demonstrate…