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Chinese Journal of Quantum Electronics

Optimizing the fidelity of continuous-variable quantum teleportation

Yun‐Jie Xia

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

Based on the fidelity conclusions of employing two-mode squeezed vacuum state for the entangled channel to teleport coherent state, continuous-variable quantum teleportation employing bright two-mode squeezed state for the entangled channel was studied. The results indicate that it's fidelity can be further improved by choosing appropriate parameters, in addition, we can fulfill that fidelity is 1, that is, not anamorphic quantum teleportation of coherent state under particular conditions.

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Based on the fidelity conclusions of employing two-mode squeezed vacuum state for the entangled channel to teleport coherent state, continuous-variable quantum teleportation employing bright two-mode squeezed state for the entangled channel was studied. The results indicate that it's fidelity can be further improved by choosing appropriate parameters, in addition, we can fulfill that fidelity is 1, that is, not anamorphic quantum teleportation of coherent state under particular conditions.
This paper investigates an analytical expression of teleportation fidelity in the teleportation scheme of a single mode of electromagnetic field. The fidelity between the original squeezed coherent state and the teleported one is expressed in terms of the squeezing parameter r and the quantum channel parameter (two-mode squeezed state) p . The results of analysis show that the fidelity increases with the increase of the quantum channel parameter p , while the fidelity decreases with the increase of the squeezing parameter r of the squeezed state. Thus the coherent state ( r = 0) is the best quantum signal for continuous variable quantum teleportation once the quantum channel is built.
Achieving near-unity fidelity in conventional continuous-variable quantum teleportation schemes based on two-mode squeezed vacuum states is fundamentally unattainable. To overcome this limitation, alternative approaches utilizing ensembles of two-dimensional entangled qubits have been proposed. In this work, we investigate continuous-variable quantum teleportation employing entangled qutrit resources under realistic noise effects. The results demonstrate that the proposed scheme performs well in both ideal and noisy conditions, enabling high-fidelity teleportation with a reasonable success probability.
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.
We investigate continuous variable quantum teleportation using non-Gaussian states of the radiation field as entangled resources. We compare the performance of different classes of degaussified resources, including two-mode photon-added and two-mode photon-subtracted squeezed states. We then introduce a class of two-mode squeezed Bell-like states with one-parameter dependence for optimization. These states interpolate between and include as subcases different classes of degaussified resources. We show that optimized squeezed Bell-like resources yield a remarkable improvement in the fidelity of teleportation both for coherent and nonclassical input states. The investigation reveals that the optimal non-Gaussian resources for continuous variable teleportation are those that most closely realize the simultaneous maximization of the content of entanglement, the degree of affinity with the two-mode squeezed vacuum, and the, suitably measured, amount of non-Gaussianity.