Hamiltonian learning for quantum error correction

The efficient validation of quantum devices is critical for emerging technological applications. In a wide class of use cases the precise engineering of a Hamiltonian is required both for the implementation of gate-based quantum information processing as well as for reliable quantum memories. Inferr...

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Bibliographic Details
Main Authors: Agnes Valenti, Evert van Nieuwenburg, Sebastian Huber, Eliska Greplova
Format: Article
Language:English
Published: American Physical Society 2019-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.1.033092
Description
Summary:The efficient validation of quantum devices is critical for emerging technological applications. In a wide class of use cases the precise engineering of a Hamiltonian is required both for the implementation of gate-based quantum information processing as well as for reliable quantum memories. Inferring the experimentally realized Hamiltonian through a scalable number of measurements constitutes the challenging task of Hamiltonian learning. In particular, assessing the quality of the implementation of topological codes is essential for quantum error correction. Here, we introduce a neural-net-based approach to this challenge. We capitalize on a family of exactly solvable models to train our algorithm and generalize to a broad class of experimentally relevant sources of errors. We discuss how our algorithm scales with system size and analyze its resilience toward various noise sources.
ISSN:2643-1564