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Time-optimal control with finite bandwidth

Author(s)
Hirose, Masashi; Cappellaro, Paola
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Abstract
Time-optimal control theory provides recipes to achieve quantum operations with high fidelity and speed, as required in quantum technologies such as quantum sensing and computation. While technical advances have achieved the ultrastrong driving regime in many physical systems, these capabilities have yet to be fully exploited for the precise control of quantum systems, as other limitations, such as the generation of higher harmonics or the finite response time of the control apparatus, prevent the implementation of theoretical time-optimal control. Here we present a method to achieve time-optimal control of qubit systems that can take advantage of fast driving beyond the rotating wave approximation. We exploit results from time-optimal control theory to design driving protocols that can be implemented with realistic, finite-bandwidth control fields, and we find a relationship between bandwidth limitations and achievable control fidelity.
Date issued
2018-02-28
URI
https://hdl.handle.net/1721.1/124225
Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering; Massachusetts Institute of Technology. Research Laboratory of Electronics
Journal
Quantum information processing
Publisher
Springer Science and Business Media LLC
Citation
Hirose, M. and Paola Cappellaro. "Time-optimal control with finite bandwidth." Quantum information processing 17 (2018):88
Version: Original manuscript
ISSN
1570-0755
1573-1332
Keywords
Signal Processing, Theoretical Computer Science, Modelling and Simulation, Electrical and Electronic Engineering, Electronic, Optical and Magnetic Materials, Statistical and Nonlinear Physics

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