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Quantum Algorithms
Quantum Fisher information for states in exponential form
arXiv
Authors: Zhang Jiang
Year
2013
Paper ID
32317
Status
Preprint
Abstract Read
~2 min
Abstract Words
84
Citations
N/A
Abstract
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.
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- It adds a 2013 reference point for readers tracking recent quantum research.
- 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...
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