A review of barren plateaus in variational quantum computing

M Larocca, S Thanasilp, S Wang, K Sharma… - arXiv preprint arXiv …, 2024 - arxiv.org
Variational quantum computing offers a flexible computational paradigm with applications in
diverse areas. However, a key obstacle to realizing their potential is the Barren Plateau (BP) …

Noise-induced shallow circuits and absence of barren plateaus

AA Mele, A Angrisani, S Ghosh, S Khatri… - arXiv preprint arXiv …, 2024 - arxiv.org
Motivated by realistic hardware considerations of the pre-fault-tolerant era, we
comprehensively study the impact of uncorrected noise on quantum circuits. We first show …

Fleming-Viot helps speed up variational quantum algorithms in the presence of barren plateaus

D Mastropietro, G Korpas, V Kungurtsev… - arXiv preprint arXiv …, 2023 - arxiv.org
Inspired by the Fleming-Viot stochastic process, we propose a variant of Variational
Quantum Algorithms benefitting from a parallel implementation of the classical step of …

Beyond unital noise in variational quantum algorithms: noise-induced barren plateaus and fixed points

P Singkanipa, DA Lidar - arXiv preprint arXiv:2402.08721, 2024 - arxiv.org
Variational quantum algorithms (VQAs) hold much promise but face the challenge of
exponentially small gradients. Unmitigated, this barren plateau (BP) phenomenon leads to …

Quantum DeepONet: Neural operators accelerated by quantum computing

P Xiao, M Zheng, A Jiao, X Yang, L Lu - arXiv preprint arXiv:2409.15683, 2024 - arxiv.org
In the realm of computational science and engineering, constructing models that reflect real-
world phenomena requires solving partial differential equations (PDEs) with different …

Estimates of loss function concentration in noisy parametrized quantum circuits

G Crognaletti, M Grossi, A Bassi - arXiv preprint arXiv:2410.01893, 2024 - arxiv.org
Variational quantum computing provides a versatile computational approach, applicable to a
wide range of fields such as quantum chemistry, machine learning, and optimization …

Noise robust detection of quantum phase transitions

K Lively, T Bode, J Szangolies, JX Zhu… - Physical Review …, 2024 - APS
Quantum computing allows for the manipulation of highly correlated states whose properties
quickly go beyond the capacity of any classical method to calculate. Thus one natural …

Spectral Methods for Quantum Optimal Control: Artificial Boundary Conditions

A Wodecki, J Marecek, V Kungurtsev, P Eichler… - arXiv preprint arXiv …, 2024 - arxiv.org
The problem of quantum state preparation is one of the main challenges in achieving the
quantum advantage. Furthermore, classically, for multi-level problems, our ability to solve …

Robust Experimental Signatures of Phase Transitions in the Variational Quantum Eigensolver

K Lively, T Bode, J Szangolies, JX Zhu… - arXiv preprint arXiv …, 2024 - arxiv.org
The Variational Quantum Eigensolver (VQE) is widely considered to be a promising
candidate for a quantum-classical algorithm which could achieve near-term quantum …

Parameter optimization comparison in QAOA using Stochastic Hill Climbing with Random Re-starts and Local Search with entangled and non-entangled mixing …

BG Sarmina, GH Sun, SH Dong - arXiv preprint arXiv:2405.08941, 2024 - arxiv.org
This study investigates the efficacy of Stochastic Hill Climbing with Random Restarts (SHC-
RR) compared to Local Search (LS) strategies within the Quantum Approximate …