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

CP Koch, U Boscain, T Calarco, G Dirr… - EPJ Quantum …, 2022 - epjqt.epj.org
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 …

Noisy intermediate-scale quantum algorithms

K Bharti, A Cervera-Lierta, TH Kyaw, T Haug… - Reviews of Modern …, 2022 - APS
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

Variational quantum algorithms

M Cerezo, A Arrasmith, R Babbush… - Nature Reviews …, 2021 - nature.com
Applications such as simulating complicated quantum systems or solving large-scale linear
algebra problems are very challenging for classical computers, owing to the extremely high …

Theory of overparametrization in quantum neural networks

M Larocca, N Ju, D García-Martín, PJ Coles… - Nature Computational …, 2023 - nature.com
The prospect of achieving quantum advantage with quantum neural networks (QNNs) is
exciting. Understanding how QNN properties (for example, the number of parameters M) …

Diagnosing barren plateaus with tools from quantum optimal control

M Larocca, P Czarnik, K Sharma, G Muraleedharan… - Quantum, 2022 - quantum-journal.org
Abstract Variational Quantum Algorithms (VQAs) have received considerable attention due
to their potential for achieving near-term quantum advantage. However, more work is …

Introduction to the Pontryagin maximum principle for quantum optimal control

U Boscain, M Sigalotti, D Sugny - PRX Quantum, 2021 - APS
Optimal control theory is a powerful mathematical tool, which has known a rapid
development since the 1950s, mainly for engineering applications. More recently, it has …

Capacity and quantum geometry of parametrized quantum circuits

T Haug, K Bharti, MS Kim - PRX Quantum, 2021 - APS
To harness the potential of noisy intermediate-scale quantum devices, it is paramount to find
the best type of circuits to run hybrid quantum-classical algorithms. Key candidates are …

Adaptive, problem-tailored variational quantum eigensolver mitigates rough parameter landscapes and barren plateaus

HR Grimsley, GS Barron, E Barnes… - npj Quantum …, 2023 - nature.com
Variational quantum eigensolvers (VQEs) represent a powerful class of hybrid quantum-
classical algorithms for computing molecular energies. Various numerical issues exist for …

Digitized counterdiabatic quantum algorithm for protein folding

P Chandarana, NN Hegade, I Montalban, E Solano… - Physical Review …, 2023 - APS
We propose a hybrid classical-quantum digitized counterdiabatic algorithm to tackle the
protein-folding problem on a tetrahedral lattice. Digitized counterdiabatic quantum …

Large-scale quantum approximate optimization on nonplanar graphs with machine learning noise mitigation

SH Sack, DJ Egger - Physical Review Research, 2024 - APS
Quantum computers are increasing in size and quality but are still very noisy. Error
mitigation extends the size of the quantum circuits that noisy devices can meaningfully …