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.
Carollo, A., Spagnolo, B., Valenti, D. (2018). Symmetric logarithmic derivative of Fermionic Gaussian states. ENTROPY, 20(7), 1-12 [10.3390/e20070485].
Symmetric logarithmic derivative of Fermionic Gaussian states
Carollo, Angelo;Spagnolo, Bernardo;Valenti, Davide
2018-01-01
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 range from quantum Metrology with thermal states to non-equilibrium steady states with Fermionic many-body systems.
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