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Open AccessArticle

Symmetric Logarithmic Derivative of Fermionic Gaussian States

Department of Physics and Chemistry, Group of Interdisciplinary Theoretical Physics, Palermo University and CNISM, Viale delle Scienze, Ed. 18, I-90128 Palermo, Italy
Department of Radiophysics, Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Avenue, Nizhni Novgorod 603950, Russia
Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Via S. Sofia 64, I-90123 Catania, Italy
Istituto di Biomedicina ed Immunologia Molecolare (IBIM) “Alberto Monroy”, CNR, Via Ugo La Malfa 153, I-90146 Palermo, Italy
Author to whom correspondence should be addressed.
Entropy 2018, 20(7), 485;
Received: 21 May 2018 / Revised: 16 June 2018 / Accepted: 16 June 2018 / Published: 22 June 2018
(This article belongs to the Special Issue Theoretical Aspect of Nonlinear Statistical Physics)
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 range from quantum Metrology with thermal states to non-equilibrium steady states with Fermionic many-body systems. View Full-Text
Keywords: quantum metrology; Fermionic Gaussian state; quantum geometric information quantum metrology; Fermionic Gaussian state; quantum geometric information
MDPI and ACS Style

Carollo, A.; Spagnolo, B.; Valenti, D. Symmetric Logarithmic Derivative of Fermionic Gaussian States. Entropy 2018, 20, 485.

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