Using the quantum teleportation in continuous variables as a test scheme, we compare two entangled transformations—mixing of signals on a beam splitter and by the controlled-$Z$ (cz) operation. We evaluate these transformations in terms of the errors added to teleported oscillators. We have shown that the cz operation leads to the lower error of teleportation. This error can be further reduced by choosing appropriate weight coefficients for the cz transforms. We have compared the errors of the theoretical cz scheme and its practical implementation in the optical design. Although the cz optical scheme adds intrinsic noise to the overall transformation, it is nevertheless possible to specify the parameters which provides a gain in comparison with the traditional teleportation protocol.

• Received 23 March 2021
• Accepted 20 May 2021

DOI:https://doi.org/10.1103/PhysRevA.103.062407