Fault-Tolerant Continuous-Variable Measurement-based Quantum Computation Architecture

Continuous-variable measurement-based quantum computation on cluster states has in recent years shown great potential for scalable, universal, and fault-tolerant when combined with the Gottesman-Kitaev-Preskill (GKP) code error correction. However, no complete architecture exists that includes everything from cluster-state generation finite squeezing to gate implementations realistic noise In this work, we propose a simple preparation of state three dimensions which gates can be efficiently implemented by teleportation. To accommodate scalability, architectures allow both spatial temporal multiplexing, temporally encoded version requiring as little two squeezed light sources. Because its three-dimensional structure, supports topological qubit correction, while GKP correction is realized within validate fault tolerance, simulated using surface-GKP codes, including well caused state. We find threshold 12.7 dB, room further improvement.Received 11 January 2021Revised 18 May 2021Accepted 23 July 2021DOI:https://doi.org/10.1103/PRXQuantum.2.030325Published American Physical Society under terms Creative Commons Attribution 4.0 International license. Further distribution work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasMeasurement-based computingOptical information processingQuantum processing continuous variablesQuantum InformationAtomic, Molecular & Optical