Study Of Quantum Steering For Quantum Correlated Systems In Optical Cavities

In this paper,some quantum correlated systems in an optical cavity are taken into consideration.It is interesting to study how different types of optical fields and spacetime quantum field have effects on quantum steering properties of quantum states.The recent photonic experiments show that quantum steering is an experimental quantum correlation and can be widely applied in optical quantum information processing.For example,it helps to construct novel communication protocols by means of quantum steering.The thesis is divided into three aspects as follows.Firstly,the evolution of the quantum correlated systems in the structured optical field environments is discussed.Through the dynamic deformation and volume of quantum steering ellipsoids,the influence of the couplings between the system and environment on the asymmetry of quantum steering is analyzed.Optical environment can greatly change the shape of quantum steering ellipsoids and compress its volume so as to reduce quantum steering.Secondly,the influence of quantum field in expanded spacetime on quantum steering is investigated.Based on the cavity quantum dynamical theory in quantum optics,the evolution of quantum steering is studied by vector mapping of quantum state.According to three different quantum steering criteria,it is discovered that quantum steering can be divided into physical accessible state and non-physical state.Whereas the quantum steering of physical unaccessible state increases,the quantum steering of physical state decreases with the increasing of the dilation parameter monotonically.Finally,with the idea of non-inertial acceleration,the dynamics of the precision of the parameter estimation for the quantum correlated state are studied.Quantum information divergence is obtained from relative entropy by analogy with the relationship between quantum Fisher information and Bures distance.On account of acceleration,the precision of parameter estimation of quantum state gradually decreases to a stable value with the increase of radiation temperature.This is in accordance with the laws of quantum statistics.These conclusions provide theoretical basis for quantum information and quantum measurement based on optical systems.