Measurement-based Quantum Communication

TL;DR

This paper reviews measurement-based quantum communication, highlighting its potential for high error thresholds, and discusses experimental realizations and optimal resource states for various tasks.

Contribution

It provides a comprehensive overview of measurement-based quantum communication schemes, including entanglement purification and error correction, with analysis of noise tolerance and experimental progress.

Findings

Measurement-based schemes achieve error thresholds of around 10% noise per qubit.

Optimal resource states can be tailored for different quantum communication tasks.

Experimental realizations include trapped ions and photons implementing quantum error correction.

Abstract

We review and discuss the potential of using measurement-based elements in quantum communication schemes, where certain tasks are realized with the help of entangled resource states that are processed by measurements. We consider long-range quantum communication based on the transmission of encoded quantum states, where encoding, decoding and syndrome read-out are implemented using small-scale resource states. We also discuss entanglement-based schemes and consider measurement-based quantum repeaters. An important element in these schemes is entanglement purification, which can also be implemented in a measurement-based way. We analyze the influence of noise and imperfections in these schemes, and show that measurement-based implementation allows for very large error thresholds of the order of 10\% noise per qubit and more. We show how to obtain optimal resource states for different tasks, and discuss first experimental realizations of measurement-based quantum error correction using trapped ions and photons.