Related papers: Minimal action control method in quantum critical models

Minimal action control method in quantum critical models

URL: http://arxiv.org/abs/2208.09271v2
Date: Fri, 25 Nov 2022 15:58:48 GMT
Title: Minimal action control method in quantum critical models
Authors: Ainur Kazhybekova, Steve Campbell, Anthony Kiely
Abstract summary: We show that high fidelity control of the ground state of critical quantum systems can be achieved. We demonstrate our results for three widely applicable systems: the Landau-Zener, Ising, and fully connected spin models.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We present a general protocol to control closed quantum systems that is based on minimising the adiabatic action. Using tools based on the geometry of quantum evolutions through the quantum adiabatic brachistochrone, we show that high fidelity control of the ground state of critical quantum systems can be achieved and requires only a reasonable approximation for the ground state spectral gap. We demonstrate our results for three widely applicable systems: the Landau-Zener, Ising, and fully connected spin models.

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