Entanglement capacity of fermionic Gaussian states
arXiv:2302.02229 · doi:10.1088/1751-8121/acfc06
Abstract
We study the capacity of entanglement as an alternative to entanglement entropies in estimating the degree of entanglement of quantum bipartite systems over fermionic Gaussian states. In particular, we derive the exact and asymptotic formulas of average capacity of two different cases - with and without particle number constraints. For the later case, the obtained formulas generalize some partial results of average capacity in the literature. The key ingredient in deriving the results is a set of new tools for simplifying finite summations developed very recently in the study of entanglement entropy of fermionic Gaussian states.
39 pages, 1 figure
References in corpus (13)
- Aspects of generic entanglement
- Fermionic Gaussian states: an introduction to numerical approaches
- The Page Curve for Fermionic Gaussian States
- Entanglement distribution in the Quantum Symmetric Simple Exclusion Process
- A Proof of Vivo-Pato-Oshanin's Conjecture on the Fluctuation of von Neumann Entropy
- Eigenstate capacity and Page curve in fermionic Gaussian states
- Bures-Hall Ensemble: Spectral Densities and Average Entropies
- Capacity of Entanglement in Local Operators
- Capacity of entanglement in random pure state
- Skewness of von Neumann entanglement entropy
- Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement
- Average capacity of quantum entanglement
- Entropy fluctuation formulas of fermionic Gaussian states