Work

Second-order statistics of fermionic Gaussian states

Year: 2022

Type: article

Abstract: We study the statistical behavior of entanglement in quantum bipartite systems over fermionic Gaussian states as measured by von Neumann entropy and entanglement capacity. The focus is on the variance of von Neumann entropy and the mean entanglement capacity that belong to the so-defined second-order statistics. The main results are the exact yet explicit formulas of the two considered second-order statistics for fixed subsystem dimension differences. We also conjecture the exact variance of von Neumann entropy valid for arbitrary subsystem dimensions. Based on the obtained results, we analytically study the numerically observed phenomena of Gaussianity of von Neumann entropy and linear growth of average capacity.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ac4e20

Authors: Youyi Huang, Lu Wei

Institution: Texas Tech University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Division of Computer and Network Systems

Awards: Collaborative Research: CNS Core: Small: Fundamentals of Ultra-Dense Wireless Networks with Generalized Repulsion, Collaborative Research: CNS Core: Small: Fundamentals of Ultra-Dense Wireless Networks with Generalized Repulsion, G7308711413