Hybrid architecture for encoded measurement-based quantum computation

TL;DR

This paper introduces a hybrid quantum computing scheme combining circuit and measurement-based models, optimizing resource states for fault-tolerance with a noise threshold of about 10%.

Contribution

It develops minimal resource states for encoded quantum operations and error correction within a hybrid measurement-based framework.

Findings

Achieves a fault-tolerance threshold of ~10% local noise per particle.

Constructs optimal minimal resource states for elementary encoded operations.

Demonstrates the effectiveness of the hybrid approach for quantum computation.

Abstract

We present a hybrid scheme for quantum computation that combines the modular structure of elementary building blocks used in the circuit model with the advantages of a measurement-based approach to quantum computation. We show how to construct optimal resource states of minimal size to implement elementary building blocks for encoded quantum computation in a measurement-based way, including states for error correction and encoded gates. The performance of the scheme is determined by the quality of the resource states, where within this error model we find a threshold of the order of 10% local noise per particle for fault-tolerant quantum computation and quantum communication.