Autonomous quantum error correction and quantum computation
Abstract
In this work, we present a general theoretical framework for the study of autonomously corrected quantum devices. First, we identify a necessary and sufficient revised version of the Knill-Laflamme conditions for the existence of an engineered Lindbladian providing protection against at most consecutive errors of natural dissipation, giving rise to an effective logical decoherence rate suppressed to order . Moreover, we demonstrate that such engineered dissipation can be combined with generalized realizations of error-transparent Hamiltonians (ETH) in order to perform a quantum computation in the logical space while maintaining the same degree of suppression of decoherence. Finally, we introduce a formalism predicting with precision the emergent dynamics in the logical code space resulting from the interplay of natural, engineered dissipations sources and the generalized ETH.
Cite
@article{arxiv.2103.05007,
title = {Autonomous quantum error correction and quantum computation},
author = {José Lebreuilly and Kyungjoo Noh and Chiao-Hsuan Wang and Steven M. Girvin and Liang Jiang},
journal= {arXiv preprint arXiv:2103.05007},
year = {2021}
}