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 …

Recent advances for quantum classifiers

W Li, DL Deng - Science China Physics, Mechanics & Astronomy, 2022 - Springer
Abstract Machine learning has achieved dramatic success in a broad spectrum of
applications. Its interplay with quantum physics may lead to unprecedented perspectives for …

Quantum criticality under decoherence or weak measurement

JY Lee, CM Jian, C Xu - PRX quantum, 2023 - APS
Decoherence inevitably happens when a quantum state is exposed to its environment,
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …

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) …

Avoiding barren plateaus using classical shadows

SH Sack, RA Medina, AA Michailidis, R Kueng… - PRX Quantum, 2022 - APS
Variational quantum algorithms are promising algorithms for achieving quantum advantage
on near-term devices. The quantum hardware is used to implement a variational wave …

Theoretical guarantees for permutation-equivariant quantum neural networks

L Schatzki, M Larocca, QT Nguyen, F Sauvage… - npj Quantum …, 2024 - nature.com
Despite the great promise of quantum machine learning models, there are several
challenges one must overcome before unlocking their full potential. For instance, models …

General parameter-shift rules for quantum gradients

D Wierichs, J Izaac, C Wang, CYY Lin - Quantum, 2022 - quantum-journal.org
Variational quantum algorithms are ubiquitous in applications of noisy intermediate-scale
quantum computers. Due to the structure of conventional parametrized quantum gates, the …

Simultaneous perturbation stochastic approximation of the quantum fisher information

J Gacon, C Zoufal, G Carleo, S Woerner - Quantum, 2021 - quantum-journal.org
Abstract The Quantum Fisher Information matrix (QFIM) is a central metric in promising
algorithms, such as Quantum Natural Gradient Descent and Variational Quantum Imaginary …

Adaptive variational quantum dynamics simulations

YX Yao, N Gomes, F Zhang, CZ Wang, KM Ho… - PRX Quantum, 2021 - APS
We propose a general-purpose, self-adaptive approach to construct a variational wave-
function ansatz for highly accurate quantum dynamics simulations based on McLachlan's …

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 …