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Dissipative self-interference and robustness of continuous error-correction to miscalibration

Albert, Victor V. and Noh, Kyungjoo and Reiter, Florentin (2018) Dissipative self-interference and robustness of continuous error-correction to miscalibration. . (Submitted)

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We derive an effective equation of motion within the steady-state subspace of a large family of Markovian open systems (i.e., Lindbladians) due to perturbations of their Hamiltonians and system-bath couplings. Under mild and realistic conditions, competing dissipative processes destructively interfere without the need for fine-tuning and produce no dissipation within the steady-state subspace. In quantum error-correction, these effects imply that continuously error-correcting Lindbladians are robust to calibration errors, including miscalibrations consisting of operators undetectable by the code. A similar interference is present in more general systems if one implements a particular Hamiltonian drive, resulting in a coherent cancellation of dissipation. On the opposite extreme, we provide a simple implementation of universal Lindbladian simulation.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Albert, Victor V.0000-0002-0335-9508
Noh, Kyungjoo0000-0002-6318-8472
Additional Information:We thank Mikhail D. Lukin, Jacob P. Covey, Richard Kueng, John Preskill, Liang Jiang, Paola Cappellaro, and M˘ad˘alin Gu¸t˘a for illuminating discussions. We acknowledge financial support from theWalter Burke Institute for Theoretical Physics at Caltech (V.V.A.), the Korea Foundation for Advanced Studies (K.N.), and a Feodor-Lynen fellowship from the Alexander von Humboldt-Foundation (F.R.).
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Korea Foundation for Advanced StudiesUNSPECIFIED
Alexander von Humboldt FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20190208-121222483
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92795
Deposited By: Bonnie Leung
Deposited On:15 Feb 2019 21:07
Last Modified:02 Jun 2023 00:42

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