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Open AccessArticle

Symmetric Logarithmic Derivative of Fermionic Gaussian States

1
Department of Physics and Chemistry, Group of Interdisciplinary Theoretical Physics, Palermo University and CNISM, Viale delle Scienze, Ed. 18, I-90128 Palermo, Italy
2
Department of Radiophysics, Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Avenue, Nizhni Novgorod 603950, Russia
3
Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Via S. Sofia 64, I-90123 Catania, Italy
4
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; https://doi.org/10.3390/e20070485
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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