Entanglement Teleportation Via Two-Qubit Channel Under the Non-Markovian Environment
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Entanglement teleportation via a two-qubit quantum channel under the non-Markovian environment is investigated in detail. We mainly concentrate on the effects about the channel initial states and decoherence environment on the entanglement of the output state C out and the average fidelity F a. It is shown that for different channel initial states with increasing noise environment parameters the teleportated entanglement is initially decreased from the maximum value to a minimum value and then undergoes a increasing tendency finally to be one constant nonzero value. The average fidelity is strongly dependent on the channel initial states and the Non-Markovian environment, tuning these parameters can make the average fidelity larger than the maximum value of classical communication 2/3. Moreover, there is a threshold time t c , when t<t c the average fidelity is always superior to 2/3, tuning the environment parameters and channel initial states not only can make F a superior to 2/3 but also can broaden the region where F a is larger than 2/3. We also obtain the analytic solution values of t c in the limit case of γ→∞ where the non-Markovian environment reduced to the Markovian one.
KeywordsEntanglement teleportation Average fidelity
This project was supported by the Natural Science Foundation for Young Scientists of Shanxi Province, China (Grant No. 2012021003-3) and the Special Funds of the National Natural Science Foundation of China (Grant No. 11247247).