Time scaling and quantum speed limit in non-Hermitian Hamiltonians

We report on a time scaling technique to enhance the performances of quantum protocols in non-Hermitian systems. The considered time scaling involves no extra-couplings and yields a significant enhancement of the quantum fidelity for a comparable amount of resources. We discuss the application of th...

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Bibliographic Details
Published inarXiv.org
Main Authors Impens, F, D'Angelis, F M, Pinheiro, F A, Guéry-Odelin, D
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.06.2021
Subjects
Couplings
Damping
Physics - Quantum Physics
Scaling
Speed limits
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Summary:We report on a time scaling technique to enhance the performances of quantum protocols in non-Hermitian systems. The considered time scaling involves no extra-couplings and yields a significant enhancement of the quantum fidelity for a comparable amount of resources. We discuss the application of this technique to quantum state transfers in 2 and 3-level open quantum systems. We derive the quantum speed limit in a system governed by a non-Hermitian Hamiltonian. Interestingly, we show that, with an appropriate driving, the time-scaling technique preserves the optimality of the quantum speed with respect to the quantum speed limit while reducing significantly the damping of the quantum state norm.
ISSN:2331-8422
DOI:10.48550/arxiv.2106.05155