Albert, Victor V. and Noh, Kyungjoo and Reiter, Florentin (2018) Dissipative self-interference and robustness of continuous error-correction to miscalibration. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20190208-121222483
![]() |
PDF
- Submitted Version
See Usage Policy. 280kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20190208-121222483
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.
Item Type: | Report or Paper (Discussion Paper) | ||||||||
---|---|---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||||
ORCID: |
| ||||||||
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 | ||||||||
Funders: |
| ||||||||
DOI: | 10.48550/arXiv.1809.07324 | ||||||||
Record Number: | CaltechAUTHORS:20190208-121222483 | ||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190208-121222483 | ||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
ID Code: | 92795 | ||||||||
Collection: | CaltechAUTHORS | ||||||||
Deposited By: | Bonnie Leung | ||||||||
Deposited On: | 15 Feb 2019 21:07 | ||||||||
Last Modified: | 02 Jun 2023 00:42 |
Repository Staff Only: item control page