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arXiv:quant-ph/0207179 · Physical Review A

Experimental investigation of continuous-variable quantum teleportation

Warwick P. Bowen, Nicolas Treps, B. C. Buchler, Roman Schnabel, Timothy C. Ralph, Hans‐A. Bachor, Thomas Symul, Ping Koy Lam

Published Mar 10, 2003• 336 citations
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Abstract

We report the experimental demonstration of quantum teleportation of the quadrature amplitudes of a light field. Our experiment was stably locked for long periods, and was analyzed in terms of fidelity $\mathcal{F}$ and with signal transfer ${T}_{q}{=T}^{+}{+T}^{\ensuremath{-}}$ and noise correlation ${V}_{q}{=V}_{\mathrm{in}\mathrm{|}\mathrm{}\mathrm{out}}^{+}{V}_{\mathrm{in}\mathrm{|}\mathrm{}\mathrm{out}}^{\ensuremath{-}}.$ We observed an optimum fidelity of $0.64\ifmmode\pm\else\textpm\fi{}0.02,$ ${T}_{q}=1.06\ifmmode\pm\else\textpm\fi{}0.02,$ and ${V}_{q}=0.96\ifmmode\pm\else\textpm\fi{}0.10.$ We discuss the significance of both ${T}_{q}>1$ and ${V}_{q}<1$ and their relation to the teleportation no-cloning limit.

DOI
10.1103/physreva.67.032302

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The efficiency of continuous-variable quantum teleportation is typically quantified by fidelity especially in experiment. From the original definition of fidelity in two pure states, we give an expansion of fidelity which is related to the variances of output and input states. With a coherent or a squeezed input state, it is convenient to quantify the quantum teleportation experiment, since the variances of quadrature components of the input and output states are measurable. Furthermore, the fidelity was discussed when the quantum channel lies in the phase- and amplitude-noisy environment, which is unavoidable in experiment, and this showed that the effect of phase noise on teleportation is more sensitive than that of the amplitude-noisy environment. The classical fidelity limit of squeezed state quantum teleportation is also obtained when the entanglement resources do not exist.
We experimentally demonstrate quantum teleportation for continuous variables using squeezed-state entanglement. The teleportation fidelity for a real experimental system is calculated explicitly, including relevant imperfection factors such as propagation losses, detection inefficiencies, and phase fluctuations. The inferred fidelity for input coherent states is $F=0.61\ifmmode\pm\else\textpm\fi{}0.02,$ which when corrected for the efficiency of detection by the output observer, gives a fidelity of 0.62.0.62.0.62. By contrast, the projected result based on the independently measured entanglement and efficiencies is 0.69.0.69.0.69. The teleportation protocol is explained in detail, including a discussion on discrepancy between experiment and theory, as well as on the limitations of the current apparatus.
The experimental demonstration of quantum teleportation for continuous variables using the squeezed_state entanglement generated by a type II phase matching opt ical parametric amplifier(OPA) is reported. Type II OPA operating at deamplification can generate amplitude_anticorrelated and phase_correlated entanglements, which can be used in quantum teleportation scheme by direct Bell_ state measurement. The correlation of 2dB was obtained with a pair of KTP crystals in the cavity. The inferred teleportation fidelity is 060,which when correlated for the e fficiency of detection by the output observer, gives a fidelity of 057 The i mperfect factors in detection are also discussed.