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Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations [PDF]
IEEE Transactions on Information Theory, 2009 In this paper, the relation between quantum covariances and quantum Fisher informations is studied. This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information. The proof given here considerably simplifies the previously proposed proofs and leads to more general inequalities.
Paolo Gibilisco, Fumio Hiai, Dénes Petz
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Quantum interference and Fisher information
Physics Letters A, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hradil, Z., Řeháček, J.
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Quantum criticality from Fisher information
Quantum Information Processing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongting Song +2 more
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Quantum Fisher information width in quantum metrology
Science China Physics, Mechanics & Astronomy, 2018In scenarios of quantum metrology, the unitary parametrization process often depends on space directions. How to characterize the sensitivity of parameter estimation to space directions is a natural question. We propose the concept of the quantum Fisher information (QFI) width, which is the difference between the maximum and minimum values of the QFI ...
Bo Liu +4 more
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Quantum Fisher Information and Uncertainty Relations
Letters in Mathematical Physics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum Fisher information power of quantum evolutions
Journal of Physics A: Mathematical and TheoreticalAbstract Quantum metrology is an important field in quantum information and plays a crucial role in quantum parameter estimation. Quantum Fisher information (QFI) is widely used to characterize the precision of quantum parameter estimation.
Jun-Long Zhao +7 more
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Entanglement detection via quantum Fisher information
Physical Review A, 2013We propose an entanglement criterion in terms of quantum Fisher information, which complements the criterion based on variance and local uncertainty relations [H. F. Hofmann and S. Takeuchi, Phys. Rev. A 68, 032103 (2003)]. We illustrate the significance of this criterion by showing that it can reveal entanglement undetectable by the variance method ...
Nan Li, Shunlong Luo
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Transmission of Quantum Fisher Information through Fluctuating Quantum Fields
Annalen der Physik, 2018AbstractTransmission of quantum Fisher information (QFI) of initially disentangled parties is studied and the results show that the indirect correlations generated by the environment, which is considered as a bath of fluctuating quantum fields, will help transmit the quantum information.
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Thermal quantum Fisher information in quantum dot system
Solid State Communications, 2014Abstract Using the quantum Fisher information (QFI), we investigate the problem of the parameter estimation in quantum system dot (QDS) including the effects of different parameters. We find that the QFI is affected by the strength temperature and might be finite even for higher temperatures in the asymptotic limit. Furthermore, we show that there is
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(Quantum) Fisher Information in Localization Microscopy
PhotoniquesThe precise localization of particles yields structural and dynamical information in applications ranging from fundamental physics to molecular biology. Here, we discuss how the concept of (Quantum) Fisher information can guide the development of localization techniques. Starting from dipole scattering, we discuss imaging based on elastic and inelastic
Thomas Juffmann +3 more
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