The Realization, Properties And Decoherence Of Non-Gaussian Quantum States

In recent years,the development of quantum information has greatly promoted the theoretical and experimental study of non-Gaussian states of light fields,because its importance far exceeds that of traditional non-Gaussian states.Especially non-Gauss entangled states,which can make up for the shortcomings of traditional Gaussian entangled states in quantum information processing,realize the best entanglement distillation to determine the success or failure of quantum communication,thus effectively improve the entanglement degree of traditional Gaussian states and improve some practical quantum information processing process.Moreover,as a new quantum information resource,it can not only provide a new physical carrier for long-distance quantum information processing,but also promote the development of quantum state control engineering.In view of the importance of non-Gaussian quantum states in the field of quantum information,the realization,non-classical properties of a series of non-Gaussian states and their decoherence evolution in the amplitude decay channel are discussed in this paper.The main research contents of this paper include the following three aspects:1.The normalization factors of squeezed Hermite polynomial states(SHPSs)are derived.The squeezing,photon number distribution and Wigner function of the SHPSs are investigated,and the effects of squeezing operations and Hermite polynomial production operations on them are analyzed.In addition,the decoherence evolution of the density operator and its Wigner function in the amplitude decay channel is studied by using the entangled state representation.2.Two-mode binomial states and their derivatives are theoretically prepared by using optical beam splitter operators and multi-photon addition or subtraction operations,and their photon number distribution,Wigner function,marginal distribution function and entanglement properties are studied.3.Two kinds of new non-Gaussian mixed entangled states are theoretically prepared by applying the multi-photon addition or subtraction operations to the two-mode squeezed thermal state,and their normalization factors are derived by using operator ordering.The EPR correlation and teleportation fidelity of these two kinds of non-Gauss mixed entangled states are studied,and the effects of photon addition or subtraction operations on EPR correlation and teleportation fidelity are analyzed.In addition,based on the entangled state representation,the analytical expressions of the Wigner function and its evolution in the amplitude decay channel are derived,and the non-classical properties of the corresponding quantum states are discussed according to their partial negativity.