Optimally robust shortcuts to population inversion in two-level quantum systems

By Andreas Ruschhaupt, Xiangshan Chen, D. Alonso, Juan Gonzalo Muga. 2012

291 citations recorded by the source corpus.

We examine the stability versus different types of perturbations of recently proposed shortcuts to adiabaticity to speed up the population inversion of a two-level quantum system. We find the optimally robust processes by using invariant-based engineering of the Hamiltonian. Amplitude noise and systematic errors require different optimal protocols.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/daa97ab195b09f94c70bcc90c84c310224e51f80

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Shortcuts to Adiabaticity (2012, methodology): “qS may be calculated with a perturbation approximation of the solution keeping only terms up to β(2) (Ruschhaupt et al., 2012).”
Shortcuts to adiabaticity: Concepts, methods, and applications (2019, methodology): “In the following, we review some of these works beginning with the simple example of a two-level system. a. Illustrative example: Control of a Two-level System Ruschhaupt et al. (2012) examined population inversion in a two-level quantum system subjected to different systematic and noisy errors.”
Training Schrödinger’s cat: quantum optimal control (2015, methodology): “hortcuts to adiabaticity weredeveloped [413]. This approach can be viewed as an inverse engineering technique based on Lewis-Riesenfeld invariants. It has been applied to a variety of quantum systems [20, 77, 90, 347] for which such an invariant exists. Even for an ensemble of quantum systems, analy”