Fisher information under decoherence in Bloch representation
By W. Zhong, Zhe Sun, Jian Ma, Xiaoguang Wang, Franco Nori. 2012
270 citations recorded by the source corpus.
The dynamics of two variants of quantum Fisher information under decoherence is investigated from a geometrical point of view. We first derive the explicit formulas of these two quantities for a single qubit in terms of the Bloch vector. Moreover, we obtain analytical results for them under three different decoherence channels, which are expressed as affine transformation matrices. Using the hierarchy equation method, we numerically study the dynamics of both sets of information in a dissipative model and compare the numerical results with the analytical ones obtained by applying the rotating-wave approximation. We further express the two information quantities in terms of the Bloch vector for a qudit by expanding the density matrix and Hermitian operators in a common set of generators of the Lie algebra su(d). By calculating the dynamical quantum Fisher information, we find that the collisional dephasing significantly diminishes the precision of the phase parameter with the Ramsey interferometry.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/e8063cae63d3cbfdc10bb0d181224bcd2588ca35
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Dynamics of non-Markovian open quantum systems (2015, background): “Other non-Markovianity measures are based on the quantum Fisher information flow (Lu et al., 2010; Zhong et al., 2013) and Bures distance (Liu et al., 2013b), a quantification of the deviation from divisibility in terms of the negative values of transition maps (Rajagopal et al., 2010), or the…”
- Quantum Fisher information matrix and multiparameter estimation (2019, background): “The diagonal entry of equation (24) is exactly the one given by reference [47].”