Connecting the von Neumann and Renyi entropies for Fermions

Abstract

We explore the relation between the von Neumann entropy and the Renyi entropies of integer orders for shift-invariant quasi-free Fermionic lattice systems. We investigate approximating the von Neumann entropy by a combination of integer-order Renyi entropies and give an estimate for the quality of such an approximation.

arXiv comment15 pages, 3 figures

References in corpus (5)

• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Time-dependent variational principle for quantum lattices
• Tensor network states and geometry
• Entropic uncertainty relations and entanglement
• Fermionic Quasi-free States and Maps in Information Theory

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• Calculation of Gibbs partition function with imaginary time evolution on near-term quantum computers