Quantum Fisher information and spin squeezing in one-axis twisting model

Abstract

We consider the quantum Fisher information and spin squeezing in one-axis twisting model with a coherent spin state $|{\theta }_0,{\varphi }_0⟩$. We analytically discuss the dependence of the two parameters: spin squeezing parameter ${\xi }_K^2$ and the average parameter estimation precision ${\chi }^2$ on the polar angle ${\theta }_0$ and the azimuth angle ${\varphi }_0$. Moreover, we discuss the effects of the collisional dephasing on the dynamics of the two parameters. In this case, the analytical solution of ${\xi }_K^2$ is also obtained.

14 pages, 4 figures

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• Pairwise quantum discord for a symmetric multi-qubit system in different types of noisy channels