Abstract
We develop a Bloch vector representation of Unruh channel for a Dirac field mode. This is used to provide a unified, analytical treatment of quantum Fisher and Skew information for a qubit subjected to the Unruh channel, both in its pure form as well as in the presence of experimentally relevant external noise channels. The time evolution of Fisher and Skew information is studied along with the impact of external environment parameters such as temperature and squeezing. The external noises are modelled by both purely dephasing phase damping as well as the squeezed generalized amplitude damping channels. An interesting interplay between the external reservoir temperature and squeezing on the Fisher and Skew information is observed, in particular, for the action of the squeezed generalized amplitude damping channel. It is seen that for some regimes, squeezing can enhance the quantum information against the deteriorating influence of the ambient environment. Similar features are also observed for the analogous study of Skew information, highlighting the similar origin of the Fisher and Skew information.
Highlights
The Unruh effect [1, 2] predicts that the Minkowski vacuum as seen by an observer accelerating uniformly will appear as a warm gas emitting black-body radiation at the Unruh temperature
This is used to provide a unified, analytical treatment of quantum Fisher and Skew information for a qubit subjected to the Unruh channel, both in its pure form as well as in the presence of experimentally relevant external noise channels
Estimation of initial state parameters has been of interest for quiet some time [24] and in recent years this approach has been turned towards state estimation in the context of open quantum systems [25, 26]
Summary
The Unruh effect [1, 2] predicts that the Minkowski vacuum as seen by an observer accelerating uniformly will appear as a warm gas emitting black-body radiation at the Unruh temperature. In this work we take up the problem of studying Fisher and its variant Skew information [17,18,19] for the Unruh effect on a Dirac field mode in the context of open quantum systems [20,21,22]. Estimation of initial state parameters has been of interest for quiet some time [24] and in recent years this approach has been turned towards state estimation in the context of open quantum systems [25, 26] Another variant of the Fisher information is the Skew information, which is the related to the infinitesimal form of the quantum Hellinger distance [27].
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