Lyapunov control-inspired strategies for quantum combinatorial optimization

Magann, Alicia B.; Rudinger, Kenneth; Grace, Matthew D.; Sarovar, Mohan

doi:10.48550/arxiv.2108.05945

Cited by 2 publications

(2 citation statements)

References 72 publications

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“…A QOCT landscape analysis has been applied to the combinatorial optimization problem MaxCut [370]. Quantum combinatorial optimization without classical optimization can be based on another class of strategies well-known from QOCT, those inspired by Lyapunov control [404]. Grover's quantum search problem can be mapped to a time-optimal control problem, and then described through the Pontryagin Maximum Principle [387].…”

Section: Quantum Algorithmsmentioning

confidence: 99%

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch

Boscain

Calarco

et al. 2022

EPJ Quantum Technol.

177

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Quantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved into one of the cornerstones for enabling quantum technologies. The last few years have seen a rapid evolution and expansion of the field. We review here recent progress in our understanding of the controllability of open quantum systems and in the development and application of quantum control techniques to quantum technologies. We also address key challenges and sketch a roadmap for future developments.

show abstract

Section: Quantum Algorithmsmentioning

confidence: 99%

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch

Boscain

Calarco

et al. 2022

EPJ Quantum Technol.

177

View full text Add to dashboard Cite

show abstract

“…A QOCT landscape analysis has been applied to the combinatorial optimization problem MaxCut [366]. Quantum combinatorial optimization without classical optimization can be based on another class of strategies well-known from QOCT, those inspired by Lyapunov control [400]. Grover's quantum search problem can be mapped to a time-optimal control problem, and then described through the Pontryagin Maximum Principle [380].…”

Section: Quantum Algorithmsmentioning

confidence: 99%

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch,

Boscain,

Calarco

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

Lyapunov control-inspired strategies for quantum combinatorial optimization

Cited by 2 publications

References 72 publications

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

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