scholarly journals Quantum Fisher information and symmetric logarithmic derivative via anti-commutators

2016 ◽  
Vol 49 (27) ◽  
pp. 275302 ◽  
Author(s):  
Jing Liu ◽  
Jie Chen ◽  
Xiao-Xing Jing ◽  
Xiaoguang Wang
Keyword(s):  
Fisher Information ◽  
Logarithmic Derivative ◽  
Quantum Fisher Information

scholarly journals Symmetric Logarithmic Derivative of Fermionic Gaussian States

2018 ◽  
Author(s):  
Angelo Carollo ◽  
Bernardo Spagnolo ◽  
Davide Valenti
Keyword(s):  
Fisher Information ◽  
Logarithmic Derivative ◽  
Quantum Fisher Information ◽  
Closed Form Expression ◽  
Quantum Metrology ◽  
Many Body ◽  
Form Expression ◽  
Gaussian States ◽  
Many Body Systems ◽  
Thermal States

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.

About the quantum Fisher information of nearly pure quantum statistical models

2020 ◽  
Vol 18 (01) ◽  
pp. 1941022
Author(s):  
Matteo G. A. Paris
Keyword(s):  
Fisher Information ◽  
Statistical Models ◽  
Logarithmic Derivative ◽  
Quantum Fisher Information ◽  
Independent State ◽  
Approximate Analytic Expression ◽  
Weak Source ◽  
Pure States ◽  
Analytic Expression ◽  
Quantum Statistical

We address nearly pure quantum statistical models, i.e. situations where the information about a parameter is encoded in pure states weakly perturbed by the mixing with a parameter independent state, mimicking a weak source of noise. We show that the symmetric logarithmic derivative is left unchanged, and find an approximate analytic expression for the quantum Fisher information (QFI) which provides bounds on how much a weak source of noise may degrade the QFI.

Quantum Fisher Information of Two Moving Four-Level Atoms

2020 ◽  
Vol 41 (3) ◽  
pp. 310-320
Author(s):  
S. Jamal Anwar ◽  
M. Usman ◽  
M. Ramzan ◽  
M. Khalid Khan
Keyword(s):  
Fisher Information ◽  
Quantum Fisher Information

Does relativistic motion always degrade quantum Fisher information?

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Xiaobao Liu ◽  
Jiliang Jing ◽  
Zehua Tian ◽  
Weiping Yao
Keyword(s):  
Fisher Information ◽  
Quantum Fisher Information ◽  
Relativistic Motion
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