By virtue of the Weyl correspondence and based on the the technique of integration within an ordered product of operators, we show under what condition the superoperator＇s Kraus representation p^1=∑μAμpA^＋μ can ...By virtue of the Weyl correspondence and based on the the technique of integration within an ordered product of operators, we show under what condition the superoperator＇s Kraus representation p^1=∑μAμpA^＋μ can be deformed as p＇= （1/π） ∫ d^2d^2α（α）D（α）D（α）pD^＋（α）, where D（α） is the displacement operator, B（α） is a probability density related to the classical Weyl correspondence of Aμ. An alternate discussion by using the entangled state representation and through a quantum teleportation process is also presented.展开更多
By exposing deficiency of the usual superoperators that have no explicit operator-expression in quantuminformation theory we introduce thermo entangled state representation to endow each of these superoperators a defi...By exposing deficiency of the usual superoperators that have no explicit operator-expression in quantuminformation theory we introduce thermo entangled state representation to endow each of these superoperators a definiteoperator-expression in an enlarged space in which one mode is a fictitious.This helps us to directly derive the role ofexponential of superoperators and the solutions of some master equations.展开更多
Considering a system in which a single photon and a coherent field propagate through a Kerr medium, when the weak cross-Kerr interaction between the coherent state and the single photon under decoherence is involved, ...Considering a system in which a single photon and a coherent field propagate through a Kerr medium, when the weak cross-Kerr interaction between the coherent state and the single photon under decoherence is involved, this paper derives analytically a macroscopic superposition state by the superoperator method and investigates the influences of decoherence on the coherence properties of the obtained state. It finds that the macroscopic superposition state will experience evolution from a pure superposltion state to a mixed state in a dissipative environment and the Kerr effect makes the field display a periodic revival from decoherence for a short time.展开更多
基金National Natural Science Foundation of China under Grant Nos.10775097,10874174,and 10647133the Natural Science Foundation of Jiangxi Province under Grant Nos.2007GQS1906 and 2007GZS1871the Research Foundation of the Education Department of Jiangxi Province under Grant No.[2007]22
文摘By virtue of the Weyl correspondence and based on the the technique of integration within an ordered product of operators, we show under what condition the superoperator＇s Kraus representation p^1=∑μAμpA^＋μ can be deformed as p＇= （1/π） ∫ d^2d^2α（α）D（α）D（α）pD^＋（α）, where D（α） is the displacement operator, B（α） is a probability density related to the classical Weyl correspondence of Aμ. An alternate discussion by using the entangled state representation and through a quantum teleportation process is also presented.
基金Supported by the President Foundation of Chinese Academy of Science
文摘By exposing deficiency of the usual superoperators that have no explicit operator-expression in quantuminformation theory we introduce thermo entangled state representation to endow each of these superoperators a definiteoperator-expression in an enlarged space in which one mode is a fictitious.This helps us to directly derive the role ofexponential of superoperators and the solutions of some master equations.
基金Project supported by the National Natural Science Foundation of China (Grant No 60478049)the Natural Science Foundation of Hubei Province, China (Grant No 2006 ABB015)
文摘Considering a system in which a single photon and a coherent field propagate through a Kerr medium, when the weak cross-Kerr interaction between the coherent state and the single photon under decoherence is involved, this paper derives analytically a macroscopic superposition state by the superoperator method and investigates the influences of decoherence on the coherence properties of the obtained state. It finds that the macroscopic superposition state will experience evolution from a pure superposltion state to a mixed state in a dissipative environment and the Kerr effect makes the field display a periodic revival from decoherence for a short time.
