Optimal state in the Knill-Laflamme-Milburn scheme of linear optical teleportation

TL;DR

This paper analyzes the optimal conditions for quantum teleportation using the Knill-Laflamme-Milburn scheme, demonstrating the optimality of maximally entangled states and proposing an experimental implementation with polarization encoding.

Contribution

It derives an error correction scheme for nonmaximally entangled states and establishes the optimality of maximally entangled states in the scheme.

Findings

Maximally entangled states are optimal for teleportation.

Error correction scheme can be implemented experimentally.

Probability of perfect teleportation is derived.

Abstract

We discuss some properties of the Knill-Laflamme-Milburn scheme for quantum teleportation with both maximally and nonmaximally entangled states. We derive the error correction scheme when one performs teleportation with nonmaximally entangled states and we find the probability for perfect teleportation. We show that the maximally entangled state is optimal in such a case. We also show how the error correction scheme can be implemented experimentally when one uses polarization encoding.