CaltechAUTHORS
  A Caltech Library Service

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) http://resolver.caltech.edu/CaltechAUTHORS:20190208-121222483

[img] PDF - Submitted Version
See Usage Policy.

273Kb

Use this Persistent URL to link to this item: http://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:
URLURL TypeDescription
http://arxiv.org/abs/1809.07324arXivDiscussion Paper
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:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Korea Foundation for Advanced StudiesUNSPECIFIED
Alexander von Humboldt FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20190208-121222483
Persistent URL:http://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:15 Feb 2019 21:07

Repository Staff Only: item control page