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

Larsen, Mikkel V. and Chamberland, Christopher and Noh, Kyungjoo and Neergaard-Nielsen, Jonas S. and Andersen, Ulrik L. (2021) Fault-Tolerant Continuous-Variable Measurement-based Quantum Computation Architecture. PRX Quantum, 2 (3). Art. No. 030325. ISSN 2691-3399. doi:10.1103/PRXQuantum.2.030325.

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Continuous-variable measurement-based quantum computation on cluster states has in recent years shown great potential for scalable, universal, and fault-tolerant quantum computation when combined with the Gottesman-Kitaev-Preskill (GKP) code and quantum error correction. However, no complete fault-tolerant architecture exists that includes everything from cluster-state generation with finite squeezing to gate implementations with realistic noise and error correction. In this work, we propose a simple architecture for the preparation of a cluster state in three dimensions in which gates can be efficiently implemented by gate teleportation. To accommodate scalability, we propose architectures that allow both spatial and temporal multiplexing, with the temporally encoded version requiring as little as two squeezed light sources. Because of its three-dimensional structure, the architecture supports topological qubit error correction, while GKP error correction is efficiently realized within the architecture by teleportation. To validate fault tolerance, the architecture is simulated using surface-GKP codes, including noise from GKP states as well as gate noise caused by finite squeezing in the cluster state. We find a fault-tolerant squeezing threshold of 12.7 dB, with room for further improvement.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Larsen, Mikkel V.0000-0002-7019-1506
Chamberland, Christopher0000-0003-3239-5783
Noh, Kyungjoo0000-0002-6318-8472
Neergaard-Nielsen, Jonas S.0000-0002-8585-0068
Andersen, Ulrik L.0000-0002-1990-7687
Alternate Title:A fault-tolerant continuous-variable measurement-based quantum computation architecture
Additional Information:© 2021 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. (Received 11 January 2021; revised 18 May 2021; accepted 23 July 2021; published 11 August 2021) The work was supported by the Danish National Research Foundation through the Center for Macroscopic Quantum States (bigQ, DNRF0142). This work was done before CC and KN joined the AWS Center for Quantum Computing.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Danish National Research FoundationDNRF0142
Issue or Number:3
Record Number:CaltechAUTHORS:20210830-203806545
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110612
Deposited By: George Porter
Deposited On:31 Aug 2021 14:26
Last Modified:31 Aug 2021 14:26

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