Dissipative self-interference and robustness of continuous error-correction to miscalibration
Abstract
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.
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.).Attached Files
Submitted - 1809.07324.pdf
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Additional details
- Eprint ID
- 92795
- Resolver ID
- CaltechAUTHORS:20190208-121222483
- Walter Burke Institute for Theoretical Physics, Caltech
- Korea Foundation for Advanced Studies
- Alexander von Humboldt Foundation
- Created
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2019-02-15Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics