The Optimization Landscape of Hybrid Quantum-Classical Algorithms: from Quantum Control to NISQ Applications

Ge, Xiaozhen; Wu, Rongbo; Rabitz, Herschel

doi:10.48550/arxiv.2201.07448

Cited by 2 publications

(1 citation statement)

References 72 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The topology of quantum control problems that governs the convergence of the optimization algorithms, often termed control landscape, has recently been reviewed [241]. Analysis of the quantum control landscape can be exploited to derive the Pontryagin maximum principle for robust control [345,346].…”

Section: Numerical Approachmentioning

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

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: Numerical Approachmentioning

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

Switching Time Optimization for Binary Quantum Optimal Control

Fei,

Brady,

Larson

et al. 2024

ACM Transactions on Quantum Computing

View full text Add to dashboard Cite

Quantum optimal control is a technique for controlling the evolution of a quantum system and has been applied to a wide range of problems in quantum physics. We study a binary quantum control optimization problem, where control decisions are binary-valued and the problem is solved in diverse quantum algorithms. In this paper, we utilize classical optimization and computing techniques to develop an algorithmic framework that sequentially optimizes the number of control switches and the duration of each control interval on a continuous time horizon. Specifically, we first solve the continuous relaxation of the binary control problem based on time discretization and then use a heuristic to obtain a controller sequence with a penalty on the number of switches. Then, we formulate a switching time optimization model and apply sequential least-squares programming with accelerated time-evolution simulation to solve the model. We demonstrate that our computational framework can obtain binary controls with high-quality performance and also reduce computational time via solving a family of quantum control instances in various quantum physics applications.

show abstract

The Optimization Landscape of Hybrid Quantum-Classical Algorithms: from Quantum Control to NISQ Applications

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

Switching Time Optimization for Binary Quantum Optimal Control

Contact Info

Product

Resources

About