Maximum entropy distributions of quantum subsystems now converge onto structures previously only seen in pure states. Unlike prior work limited to fixed density matrices, this research demonstrates convergence to a correlated Wishart ensemble when averaging over mixed states, a key step towards understanding complex systems at realistic temperatures. Applying this framework to the transverse-field Ising model yields leading order corrections to established spectral laws like Marchenko, Pastur.
Researchers Link Quantum States’ Entropy to Correlated Wishart Ensembles
Maximum entropy distributions of quantum subsystems now converge onto structures previously only seen in pure states. Unlike prior work limited to fixed density matrices, this research demonstrates convergence to a correlated Wishart ensemble when averaging over mixed states, a key step towards understanding complex systems at realistic temperatures. Applying this framework to the transverse-field Ising model yields leading order corrections to established spectral laws like Marchenko, Pastur.