CZ vs Beam Splitter: errors of entangled operations

TL;DR

This paper compares the errors introduced by CZ and beam splitter entangled operations in continuous-variable quantum teleportation, showing CZ can achieve lower errors with optimized parameters despite intrinsic noise.

Contribution

It introduces a comparative analysis of CZ and beam splitter entangled transformations, highlighting how CZ can reduce teleportation errors with parameter optimization.

Findings

CZ operation results in lower teleportation errors than beam splitter.

Optimizing CZ parameters further reduces errors.

Practical CZ implementation can outperform traditional teleportation protocols.

Abstract

Using the quantum teleportation in continuous variables as a test scheme, we compare two entangled transformations - mixing of signals on a beamsplitter and by the 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.