Lower Bounds of Success Probabilities for High-Fidelity Approach in KLM Scheme

TL;DR

This paper derives explicit lower bounds on the success probabilities of high-fidelity quantum teleportation in the KLM scheme, providing a method to prepare optimal ancilla states for arbitrary qubit numbers.

Contribution

It introduces an explicit prescription for preparing optimal ancilla states and establishes exact lower bounds on success probabilities in the high-fidelity KLM scheme.

Findings

Explicit lower bounds for success probabilities derived.

Method for preparing optimal ancilla states provided.

Exact success probability bounds applicable for any number of qubits.

Abstract

In the Knill-Laflamme-Milburn (KLM) scheme, the success probability of quantum teleportation is given by ${n \over n+1}$, wehre $2n$ is the number of the ancilla qubits. For the high-fidelity approach in the KLM scheme, the success probability is approximately given by $1-{1 \over n^{2}}$ for large $n$. We give an explicit prescription to prepare an optimal ancilla state and give an exact lower bound of the success probability for the high-fidelity approach for arbitrary $n$.