scholarly journals Quantum Fisher information on two manifolds of two-mode Gaussian states

2016 ◽  
Vol 93 (5) ◽  
Author(s):  
Paulina Marian ◽  
Tudor A. Marian
Keyword(s):  
Fisher Information ◽  
Quantum Fisher Information ◽  
Gaussian States

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.

scholarly journals Incompatibility in Multi-Parameter Quantum Metrology with Fermionic Gaussian States

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 34
Author(s):  
Angelo Carollo ◽  
Bernardo Spagnolo ◽  
Davide Valenti
Keyword(s):  
Fisher Information ◽  
Quantum Fisher Information ◽  
Spin Systems ◽  
Closed Form Expression ◽  
Quantum Metrology ◽  
Form Expression ◽  
Gaussian States ◽  
Optimal Measurement ◽  
Measurement Strategies ◽  
Thermal States

In this article we derive a closed form expression for the incompatibility condition in multi-parameter quantum metrology when the reference states are Fermionic Gaussian states. Together with the quantum Fisher information, the knowledge of the compatibility condition provides a way of designing optimal measurement strategies for multi-parameter quantum estimation. Applications range from quantum metrology with thermal states to non-equilibrium steady states with Fermionic and spin systems.

scholarly journals Purification complexity without purifications

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Shan-Ming Ruan
Keyword(s):  
Fisher Information ◽  
Mixed State ◽  
Quantum Fisher Information ◽  
Quantum States ◽  
Density Matrices ◽  
Gaussian States ◽  
State Complexity ◽  
Quantum Operations ◽  
Fisher Information Metric ◽  
Information Metric

Abstract We generalize the Fubini-Study method for pure-state complexity to generic quantum states by taking Bures metric or quantum Fisher information metric (QFIM) on the space of density matrices as the complexity measure. Due to Uhlmann’s theorem, we show that the mixed-state complexity exactly equals the purification complexity measured by the Fubini-Study metric for purified states but without explicitly applying any purification. We also find the purification complexity is non-increasing under any trace-preserving quantum operations. We also study the mixed Gaussian states as an example to explicitly illustrate our conclusions for purification complexity.

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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