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 …

NISQ computing: where are we and where do we go?

JWZ Lau, KH Lim, H Shrotriya, LC Kwek - AAPPS bulletin, 2022 - Springer
In this short review article, we aim to provide physicists not working within the quantum
computing community a hopefully easy-to-read introduction to the state of the art in the field …

Generalization in quantum machine learning from few training data

MC Caro, HY Huang, M Cerezo, K Sharma… - Nature …, 2022 - nature.com
Modern quantum machine learning (QML) methods involve variationally optimizing a
parameterized quantum circuit on a training data set, and subsequently making predictions …

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 …

Digital quantum simulation of open quantum systems using quantum imaginary–time evolution

H Kamakari, SN Sun, M Motta, AJ Minnich - PRX Quantum, 2022 - APS
Quantum simulation on emerging quantum hardware is a topic of intense interest. While
many studies focus on computing ground-state properties or simulating unitary dynamics of …

Building spatial symmetries into parameterized quantum circuits for faster training

F Sauvage, M Larocca, PJ Coles… - Quantum Science and …, 2024 - iopscience.iop.org
Practical success of quantum learning models hinges on having a suitable structure for the
parameterized quantum circuit. Such structure is defined both by the types of gates …

Can error mitigation improve trainability of noisy variational quantum algorithms?

S Wang, P Czarnik, A Arrasmith, M Cerezo… - Quantum, 2024 - quantum-journal.org
Abstract Variational Quantum Algorithms (VQAs) are often viewed as the best hope for near-
term quantum advantage. However, recent studies have shown that noise can severely limit …

Improved Hamiltonians for quantum simulations of gauge theories

M Carena, H Lamm, YY Li, W Liu - Physical Review Letters, 2022 - APS
Quantum simulations of lattice gauge theories for the foreseeable future will be hampered by
limited resources. The historical success of improved lattice actions in classical simulations …

Primitive quantum gates for an discrete subgroup: Binary tetrahedral

EJ Gustafson, H Lamm, F Lovelace, D Musk - Physical Review D, 2022 - APS
We construct a primitive gate set for the digital quantum simulation of the binary tetrahedral
(BT) group on two quantum architectures. This non-Abelian discrete group serves as a crude …