Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
Abstract
A long-standing open question about Gaussian continuous-variable cluster states is whether they enable fault-tolerant measurement-based quantum computation. The answer is yes. Initial squeezing in the cluster above a threshold value of 20.5 dB ensures that errors from finite squeezing acting on encoded qubits are below the fault-tolerance threshold of known qubit-based error-correcting codes. By concatenating with one of these codes and using ancilla-based error correction, fault-tolerant measurement-based quantum computation of theoretically indefinite length is possible with finitely squeezed cluster states.
Cite
@article{arxiv.1310.7596,
title = {Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States},
author = {Nicolas C. Menicucci},
journal= {arXiv preprint arXiv:1310.7596},
year = {2014}
}
Comments
(v3) consistent with published version, more accessible for general audience; (v2) condensed presentation, added references on GKP state generation and a comparison of currently achievable squeezing to the threshold; (v1) 13 pages, a few figures