arXiv:1310.2687 [quant-ph]AbstractReferencesReviewsResources
Quantum Fisher information for states in exponential form
Published 2013-10-10, updated 2014-03-31Version 3
We derive explicit expressions for the quantum Fisher information and the symmetric logarithmic derivative (SLD) of a quantum state in the exponential form; the SLD is expressed in terms of the generator. Applications include quantum-metrology problems with Gaussian states and general thermal states. Specifically, we give the SLD for a Gaussian state in two forms, in terms of its generator and its moments; the Fisher information is also calculated for both forms. Special cases are discussed, including pure, degenerate, and very noisy Gaussian states.
Comments: 10 pages
Journal: Phys. Rev. A 89, 032128 (2014)
Categories: quant-ph
Keywords: quantum fisher information, exponential form, noisy gaussian states, general thermal states, symmetric logarithmic
Tags: journal article
Related articles: Most relevant | Search more
arXiv:1401.0596 [quant-ph] (Published 2014-01-03)
Quantum fisher information in noninertial frames
Fisher information and asymptotic normality in system identification for quantum Markov chains
Beyond quantum Fisher information: optimal phase estimation with arbitrary a priori knowledge