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) …

Variational quantum simulation: a case study for understanding warm starts

R Puig, M Drudis, S Thanasilp, Z Holmes - arXiv preprint arXiv:2404.10044, 2024 - arxiv.org
The barren plateau phenomenon, characterized by loss gradients that vanish exponentially
with system size, poses a challenge to scaling variational quantum algorithms. Here we …

Efficient quantum-enhanced classical simulation for patches of quantum landscapes

S Lerch, R Puig, MS Rudolph, A Angrisani… - arXiv preprint arXiv …, 2024 - arxiv.org
Understanding the capabilities of classical simulation methods is key to identifying where
quantum computers are advantageous. Not only does this ensure that quantum computers …

Solving constrained optimization problems via the variational quantum eigensolver with constraints

TV Le, V Kekatos - Physical Review A, 2024 - APS
Variational quantum approaches have shown great promise in finding near-optimal
solutions to computationally challenging tasks, including solving optimization problems …

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 …

Variational Quantum Simulation: A Case Study for Understanding Warm Starts

R Puig, M Drudis, S Thanasilp, Z Holmes - PRX Quantum, 2025 - APS
The barren plateau phenomenon, characterized by loss gradients that vanish exponentially
with system size, poses a challenge to scaling variational quantum algorithms. Here we …

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 …

Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics

YQ Chen, S Liu, SX Zhang - arXiv preprint arXiv:2405.05076, 2024 - arxiv.org
In this study, we explore the information capacity of open quantum systems, focusing on the
effective channels formed by the subsystem of random quantum circuits and quantum …

Exploiting many-body localization for scalable variational quantum simulation

C Cao, Y Zhou, S Tannu, N Shannon… - arXiv preprint arXiv …, 2024 - arxiv.org
Variational quantum algorithms have emerged as a promising approach to achieving
practical quantum advantages using near-term quantum devices. Despite their potential, the …

Improve variational quantum eigensolver by many-body localization

L Xin, Z Yin - arXiv preprint arXiv:2407.11589, 2024 - arxiv.org
Variational quantum algorithms have been widely demonstrated in both experimental and
theoretical contexts to have extensive applications in quantum simulation, optimization, and …