Autonomous quantum error correction and quantum computation
- URL: http://arxiv.org/abs/2103.05007v1
- Date: Mon, 8 Mar 2021 19:00:03 GMT
- Title: Autonomous quantum error correction and quantum computation
- Authors: Jos\'e Lebreuilly, Kyungjoo Noh, Chiao-Hsuan Wang, Steven M. Girvin,
and Liang Jiang
- Abstract summary: We present a general theoretical framework for the study of autonomously corrected quantum devices.
We identify a necessary and sufficient revised version of the Knill-Laflamme conditions for the existence of an engineered Lindbladian.
We demonstrate that engineered dissipation can be combined with generalized realizations of error-transparent Hamiltonians.
- Score: 3.1541105002077714
- License: http://creativecommons.org/licenses/by/4.0/
- 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 $c$
consecutive errors of natural dissipation, giving rise to an effective logical
decoherence rate suppressed to order $c$. 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.
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