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arXiv · 1810.11379

Parameter estimation for a Lorentz invariance violation

H. A. S. Costa·P. R. S. Carvalho·I. G. da Paz
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Abstract

We employ techniques from quantum estimation theory (QET) to estimate the Lorentz violation parameters in the 1+3-dimensional flat spacetime. We obtain and discuss the expression of the quantum Fisher information (QFI) in terms of the Lorentz violation parameter $\sigma_0$ and the momentum k of the created particles. We show that the maximum QFI is achieved for a specific momentum $k_{\mathrm{max}}$. We also find that the optimal precision of estimation of the Lorentz violation parameter is obtained near the Planck scale.

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H. A. S. Costa, P. R. S. Carvalho, I. G. da Paz. 2018-10-24. Parameter estimation for a Lorentz invariance violation. https://doi.org/10.1142/s0218271819500287

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