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Acta Sinica Quantum Optica

Quantum Teleportation and Fidelity of One-mode Squeezing Vacuum State

Yun‐Jie Xia

Published Jan 1, 2008• 0 citations
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Abstract

Based on the proposal of Braunstein and Kimble,we study the quantum teleportation of one-mode squeezing vacuum state via minimum-correlation mixed state.The results show that the fidelity is low by the entangled mixed states as quantum channel.But with the proposal of adjusting the output field displacement factor's fidelity,we find that it can optimize the fidelity of squeezing state.In a certain reign of coefficients,the fidelity will almost reach to 1.

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Based on the proposal of Braunstein and Kimble,we study the quantum teleportation of one-mode squeezing vacuum state via minimum-correlation mixed state.The results show that the fidelity is low by the entangled mixed states as quantum channel.But with the proposal of adjusting the output field displacement factor's fidelity,we find that it can optimize the fidelity of squeezing state.In a certain reign of coefficients,the fidelity will almost reach to 1.
Based on the proposal of Braunstein and Kimble，we studied the continuous variables quantum teleportation via minimum-correlation mixed state. The results show that the mixed entangled state as a generalized type of Einstein-Podolsky-Rosen entangled states is a good quantum channel. As an example，we analyzed in detail teleporting a coherent state by means of this channel. When the parameters of minimum-correlation mixed state are chosen properly，the fidelity will almost reach to unity. The minimum-correlation mixed state as a quantum channel is better than the two-mode squeezed vacuum state.
Quantum teleportation of a continuous-variable state is studied for the quantum channel of a two-mode squeezed vacuum influenced by a thermal environment. Each mode of the squeezed vacuum is assumed to undergo the same thermal influence. It is found that when the mixed two-mode squeezed vacuum for the quantum channel is separable, any nonclassical features, which may be imposed in an original unknown state, cannot be transferred to a receiving station. A two-mode Gaussian state, one of which is a mixed two-mode squeezed vacuum, is separable if and only if a positive well-defined P function can be assigned to it. The fidelity of teleportation is considered in terms of the noise factor given by the imperfect channel. It is found that quantum teleportation may give more noise than direct transmission of a field under the thermal environment, which is due to the fragile nature of quantum entanglement of the quantum channel.
Quantum teleportation of a squeezed state is demonstrated experimentally. Due to some inevitable losses in experiments, a squeezed vacuum necessarily becomes a mixed state which is no longer a minimum uncertainty state. We establish an operational method of evaluation for quantum teleportation of such a state using fidelity and discuss the classical limit for the state. The measured fidelity for the input state is $0.85\ifmmode\pm\else\textpm\fi{}0.05$, which is higher than the classical case of $0.73\ifmmode\pm\else\textpm\fi{}0.04$. We also verify that the teleportation process operates properly for the nonclassical state input and its squeezed variance is certainly transferred through the process. We observe the smaller variance of the teleported squeezed state than that for the vacuum state input.