Teleportation of squeezing: Optimization using non-Gaussian resources

TL;DR

This paper explores optimizing quantum teleportation of continuous-variable states by using non-Gaussian entangled resources, specifically squeezed Bell states, to improve fidelity and variance minimization in ideal and imperfect setups.

Contribution

It introduces the use of non-Gaussian squeezed Bell states for optimized quantum teleportation, providing distinct procedures for maximizing fidelity and minimizing variance.

Findings

Non-Gaussian resources outperform Gaussian ones in certain conditions.

Two independent optimization procedures yield different benefits.

Performance varies with input state parameters and setup imperfections.

Abstract

We study the continuous-variable quantum teleportation of states, statistical moments of observables, and scale parameters such as squeezing. We investigate the problem both in ideal and imperfect Vaidman-Braunstein-Kimble protocol setups. We show how the teleportation fidelity is maximized and the difference between output and input variances is minimized by using suitably optimized entangled resources. Specifically, we consider the teleportation of coherent squeezed states, exploiting squeezed Bell states as entangled resources. This class of non-Gaussian states includes photon-added and photon-subtracted squeezed states as special cases. At variance with the case of entangled Gaussian resources, the use of entangled non-Gaussian squeezed Bell resources allows for different optimization procedures that lead to inequivalent results. Performing two independent optimization procedures one can either maximize the state teleportation fidelity, or minimize the difference between input and output quadrature variances. The two different procedures are compared depending on the degrees of displacement and squeezing of the input states and on the working conditions in ideal and non-ideal setups.