Preprint Article Version 1 This version is not peer-reviewed

Symmetric Logarithmic Derivative of Fermionic Gaussian States

Version 1 : Received: 21 May 2018 / Approved: 22 May 2018 / Online: 22 May 2018 (05:52:11 CEST)

A peer-reviewed article of this Preprint also exists.

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

Journal reference: Entropy 2018, 20, 485
DOI: 10.3390/e20070485

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 range from quantum Metrology with thermal states to non-equilibrium steady states with Fermionic many-body systems.

Subject Areas

quantum metrology; fermionic gaussian state; quantum geometric information

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