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Symmetric Logarithmic Derivative of Fermionic Gaussian States

2019/12/27 by Angelo Carollo, Bernardo Spagnolo, Davide Valenti
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.3390/e20070485

published as Entropy 2018, 20, 485 · 15 pages. arXiv admin note: substantial text overlap with arXiv:1911.10196; text overlap with arXiv:1608.02634 by other authors

arxiv created 2019/12/27 · arxiv updated 2020/01/01

Abstract

In this article we derive a closed form expression for the symmetric logarithmic derivative of Fermionic Gaussian states. This provides a direct way of computing the quantum Fisher Information for Fermionic Gaussian states. Applications ranges from quantum Metrology with thermal states and non-equilibrium steady states with Fermionic many-body systems.

Citations