Entanglement capacity of fermionic Gaussian states

• URL: http://arxiv.org/abs/2302.02229v1
• Date: Sat, 4 Feb 2023 19:53:51 GMT
• Title: Entanglement capacity of fermionic Gaussian states
• Authors: Youyi Huang and Lu Wei
• Abstract summary: We study the capacity of entanglement as an alternative to entanglement entropies. We derive the exact entanglement and quantum formulas of average capacity of two different cases.
• Score: 3.8265321702445267
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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