Teleportation of two-mode squeezed states

TL;DR

This paper presents a protocol for teleporting two-mode squeezed states of continuous variables using linear optics, analyzing fidelity and entanglement trade-offs.

Contribution

It introduces a new teleportation scheme for two-mode squeezed states utilizing linear amplifiers and beam splitters, with a detailed fidelity analysis.

Findings

Fidelity depends on the entanglement of the teleported state

Protocol uses four-mode entangled states shared between Alice and Bob

Trade-off observed between teleportation fidelity and entanglement level

Abstract

We consider two-mode squeezed states which are parametrized by the squeezing parameter and the phase. We present a scheme for teleporting such entangled states of continuous variables from Alice to Bob. Our protocol is operationalized through the creation of a four-mode entangled state shared by Alice and Bob using linear amplifiers and beam splitters. Teleportation of the entangled state proceeds with local operations and the classical communication of four bits. We compute the fidelity of teleportation and find that it exhibits a trade-off with the magnitude of entanglement of the resultant teleported state.