Figure 1

The experimental setup for teleportation of quantum entanglement. OPOs are optical parametric oscillators. All beam splitters except $99/1$ BSs are $50/50$ beam splitters. LOs are local oscillators for homodyne detection. SA is a spectrum analyzer. The ellipses illustrate the squeezed quadrature of each beam. Symbols and abbreviations are defined in the text.Reuse & Permissions

Figure 2

The measurement results of the teleported state for a coherent state input in $x$ quadrature. Each trace is normalized to the corresponding vacuum noise level. Trace (i) shows the corresponding vacuum noise level $⟨(\Delta {\widehat{x}}_{\mathrm{out}}^{(0)}{)}^2⟩=1/4$. Trace (ii) shows the teleported state for a vacuum input. Note that the variance of the teleported state for a vacuum input corresponds to that for a coherent state input. Trace (iii) shows the teleported state for a coherent state input with the phase scanned. At the top (bottom) of the trace, the relative phase between the input and the LO is 0 or $\pi$ ($\pi /2$ or $3\pi /2$). The measurement frequency is centered at 1 MHz, and the resolution and video bandwidths are 30 kHz and 300 Hz, respectively. Traces (i) and (ii) are averaged 20  times.Reuse & Permissions

Figure 3

Correlation measurement for EPR1 beams. (a) The measurement result of the reference mode alone. Trace (i) shows the corresponding vacuum noise level $⟨(\Delta {\widehat{x}}_{\mathrm{ref}}^{(0)}{)}^2⟩=⟨(\Delta {\widehat{p}}_{\mathrm{ref}}^{(0)}{)}^2⟩=1/4$. Traces (ii) and (iii) are the measurement results of $⟨(\Delta {\widehat{x}}_{\mathrm{ref}}{)}^2⟩$ and $⟨(\Delta {\widehat{p}}_{\mathrm{ref}}{)}^2⟩$, respectively. (b) The measurement result of the correlation between the input mode and the reference mode. Trace (i) shows the corresponding vacuum noise level $⟨[\Delta ({\widehat{x}}_{\mathrm{ref}}^{(0)}-{\widehat{x}}_{\mathrm{in}}^{(0)}){]}^2⟩=⟨[\Delta ({\widehat{p}}_{\mathrm{ref}}^{(0)}+{\widehat{p}}_{\mathrm{in}}^{(0)}){]}^2⟩=1/2$. Traces (ii) and (iii) are the measurement results of $⟨[\Delta ({\widehat{x}}_{\mathrm{ref}}-{\widehat{x}}_{\mathrm{in}}){]}^2⟩$ and $⟨[\Delta ({\widehat{p}}_{\mathrm{ref}}+{\widehat{p}}_{\mathrm{in}}){]}^2⟩$, respectively. The measurement condition is the same as that of Fig. 2.Reuse & Permissions

Figure 4

Correlation measurement results of the teleportation of quantum entanglement. (a) The measurement result of the output mode alone. Trace (i) shows the corresponding vacuum noise level $⟨(\Delta {\widehat{x}}_{\mathrm{out}}^{(0)}{)}^2⟩=⟨(\Delta {\widehat{p}}_{\mathrm{out}}^{(0)}{)}^2⟩=1/4$. Traces (ii) and (iii) are the measurement results of $⟨(\Delta {\widehat{x}}_{\mathrm{out}}{)}^2⟩$ and $⟨(\Delta {\widehat{p}}_{\mathrm{out}}{)}^2⟩$, respectively. (b) The measurement result of the correlation between the output mode and the reference mode. Trace (i) shows the corresponding vacuum noise level $⟨[\Delta ({\widehat{x}}_{\mathrm{ref}}^{(0)}-{\widehat{x}}_{\mathrm{out}}^{(0)}){]}^2⟩=⟨[\Delta ({\widehat{p}}_{\mathrm{ref}}^{(0)}+{\widehat{p}}_{\mathrm{out}}^{(0)}){]}^2⟩=1/2$. Traces (ii) and (iii) are the measurement results of $⟨[\Delta ({\widehat{x}}_{\mathrm{ref}}-{\widehat{x}}_{\mathrm{out}}){]}^2⟩$ and $⟨[\Delta ({\widehat{p}}_{\mathrm{ref}}+{\widehat{p}}_{\mathrm{out}}){]}^2⟩$, respectively. The measurement condition is the same as that of Fig. 2.Reuse & Permissions