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Condens. Matter 2019, 4(1), 34; https://doi.org/10.3390/condmat4010034

Effect of Phase Errors on a Quantum Control Protocol Using Fast Oscillations

1
Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Parco Area delle Scienze 7/A, 43124 Parma, Italy
2
Italian Institute for Nuclear Physics (INFN), Sezione di Milano Bicocca, Gruppo Collegato di Parma, Parco Area delle Scienze 7/A, 43124 Parma, Italy
*
Author to whom correspondence should be addressed.
Received: 31 January 2019 / Revised: 13 March 2019 / Accepted: 18 March 2019 / Published: 22 March 2019
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Abstract

It has been recently shown that fast oscillating control fields can be used to speed up an otherwise slow adiabatic process, making the system always follow an instantaneous eigenvector closely. In applying this method though, one typically assumes perfect phase relations among the control fields. In this work, we discuss the effect of potential static phase errors. We show that the latter can in some cases produce higher fidelities, leading to an unexpected improvement of the method. This is shown numerically and explained via a perturbative expansion of the error produced by the control strategy. When high-precision phase control is accessible, the results suggest that the phases of the control field can be used as free parameters whose optimization can be beneficial for the control protocol. View Full-Text
Keywords: quantum control theory; shortcuts to adiabaticity; fast oscillations; phase offsets; nonlinear phenomena; Landau–Zener; Jaynes–Cummings model quantum control theory; shortcuts to adiabaticity; fast oscillations; phase offsets; nonlinear phenomena; Landau–Zener; Jaynes–Cummings model
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Petiziol, F.; Wimberger, S. Effect of Phase Errors on a Quantum Control Protocol Using Fast Oscillations. Condens. Matter 2019, 4, 34.

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