Optimal fidelity of teleportation of coherent states and entanglement

TL;DR

This paper analyzes the Braunstein-Kimble protocol for continuous variable teleportation, establishing bounds and optimal local Gaussian operations to maximize fidelity based on shared entanglement.

Contribution

It provides the first comprehensive bounds and optimal strategies for maximizing teleportation fidelity with Gaussian states and operations.

Findings

Derived bounds for teleportation fidelity based on entanglement levels.

Identified optimal local Gaussian operations for maximizing fidelity.

Quantified maximum achievable fidelity under trace-preserving Gaussian maps.

Abstract

We study the Braunstein-Kimble protocol for the continuous variable teleportation of a coherent state. We determine lower and upper bounds for the optimal fidelity of teleportation, maximized over all local Gaussian operations for a given entanglement of the two-mode Gaussian state shared by the sender (Alice) and the receiver (Bob). We also determine the optimal local transformations at Alice and Bob sites and the corresponding maximum fidelity when one restricts to local trace-preserving Gaussian completely positive maps.