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Quantum Information Processing
Published in: Quantum Information Processing 4/2018

01-04-2018

Time-optimal control with finite bandwidth

Published in: Quantum Information Processing | Issue 4/2018

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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.
previous article Partition-based discrete-time quantum walks
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Appendix
Available only for authorised users
Footnotes
1
Infinite decompositions are also possible. However, here an infinite sequence with equal times is a rotation about \(\sigma _z\); thus, an infinite decomposition can be speedily obtained by a singular control (setting \(\varOmega =0\)).
 
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Metadata
Title
Time-optimal control with finite bandwidth
Publication date
01-04-2018
Published in
Quantum Information Processing / Issue 4/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1845-6

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