Cost function dependent barren plateaus in shallow parametrized quantum circuits

M Cerezo, A Sone, T Volkoff, L Cincio… - Nature communications, 2021 - nature.com
Variational quantum algorithms (VQAs) optimize the parameters θ of a parametrized
quantum circuit V (θ) to minimize a cost function C. While VQAs may enable practical …

Absence of barren plateaus in quantum convolutional neural networks

A Pesah, M Cerezo, S Wang, T Volkoff, AT Sornborger… - Physical Review X, 2021 - APS
Quantum neural networks (QNNs) have generated excitement around the possibility of
efficiently analyzing quantum data. But this excitement has been tempered by the existence …

Trainability of dissipative perceptron-based quantum neural networks

K Sharma, M Cerezo, L Cincio, PJ Coles - Physical Review Letters, 2022 - APS
Several architectures have been proposed for quantum neural networks (QNNs), with the
goal of efficiently performing machine learning tasks on quantum data. Rigorous scaling …

Analytic theory for the dynamics of wide quantum neural networks

J Liu, K Najafi, K Sharma, F Tacchino, L Jiang… - Physical Review Letters, 2023 - APS
Parametrized quantum circuits can be used as quantum neural networks and have the
potential to outperform their classical counterparts when trained for addressing learning …

Mitigating barren plateaus of variational quantum eigensolvers

X Liu, G Liu, HK Zhang, J Huang… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Variational quantum algorithms (VQAs) are expected to establish valuable applications on
near-term quantum computers. However, recent works have pointed out that the …

Laziness, barren plateau, and noises in machine learning

J Liu, Z Lin, L Jiang - Machine Learning: Science and Technology, 2024 - iopscience.iop.org
We define laziness to describe a large suppression of variational parameter updates for
neural networks, classical or quantum. In the quantum case, the suppression is exponential …

Robustness of quantum reinforcement learning under hardware errors

A Skolik, S Mangini, T Bäck, C Macchiavello… - EPJ Quantum …, 2023 - Springer
Variational quantum machine learning algorithms have become the focus of recent research
on how to utilize near-term quantum devices for machine learning tasks. They are …

Non-Hermitian Hamiltonians violate the eigenstate thermalization hypothesis

G Cipolloni, J Kudler-Flam - Physical Review B, 2024 - APS
The eigenstate thermalization hypothesis (ETH) represents a cornerstone in the theoretical
understanding of the emergence of thermal behavior in closed quantum systems. The ETH …

Generating random quantum channels

R Kukulski, I Nechita, Ł Pawela, Z Puchała… - Journal of …, 2021 - pubs.aip.org
Several techniques of generating random quantum channels, which act on the set of d-
dimensional quantum states, are investigated. We present three approaches to the problem …

Symmetric pruning in quantum neural networks

X Wang, J Liu, T Liu, Y Luo, Y Du, D Tao - arXiv preprint arXiv:2208.14057, 2022 - arxiv.org
Many fundamental properties of a quantum system are captured by its Hamiltonian and
ground state. Despite the significance of ground states preparation (GSP), this task is …