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) …

Barren plateaus in quantum tensor network optimization

EC Martín, K Plekhanov, M Lubasch - Quantum, 2023 - quantum-journal.org
We analyze the barren plateau phenomenon in the variational optimization of quantum
circuits inspired by matrix product states (qMPS), tree tensor networks (qTTN), and the …

Tensor networks for quantum machine learning

HM Rieser, F Köster, AP Raulf - Proceedings of the …, 2023 - royalsocietypublishing.org
Once developed for quantum theory, tensor networks (TNs) have been established as a
successful machine learning (ML) paradigm. Now, they have been ported back to the …

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 …

Quantum neural estimation of entropies

Z Goldfeld, D Patel, S Sreekumar, MM Wilde - Physical Review A, 2024 - APS
Entropy measures quantify the amount of information and correlation present in a quantum
system. In practice, when the quantum state is unknown and only copies thereof are …

ResQNets: a residual approach for mitigating barren plateaus in quantum neural networks

M Kashif, S Al-Kuwari - EPJ Quantum Technology, 2024 - epjqt.epj.org
The barren plateau problem in quantum neural networks (QNNs) is a significant challenge
that hinders the practical success of QNNs. In this paper, we introduce residual quantum …

Training variational quantum algorithms with random gate activation

S Liu, SX Zhang, SK Jian, H Yao - Physical Review Research, 2023 - APS
Variational quantum algorithms (VQAs) hold great potential for near-term applications and
are promising to achieve quantum advantage in practical tasks. However, VQAs suffer from …

Classical splitting of parametrized quantum circuits

C Tüysüz, G Clemente, A Crippa, T Hartung… - Quantum Machine …, 2023 - Springer
Barren plateaus appear to be a major obstacle for using variational quantum algorithms to
simulate large-scale quantum systems or to replace traditional machine learning algorithms …

Efficient estimation of trainability for variational quantum circuits

V Heyraud, Z Li, K Donatella, A Le Boité, C Ciuti - PRX Quantum, 2023 - APS
Parameterized quantum circuits used as variational ansatzes are emerging as promising
tools to tackle complex problems ranging from quantum chemistry to combinatorial …

Accelerating variational quantum eigensolver convergence using parameter transfer

M Skogh, O Leinonen, P Lolur, M Rahm - Electronic Structure, 2023 - iopscience.iop.org
One impediment to the useful application of variational quantum algorithms in quantum
chemistry is slow convergence with large numbers of classical optimization parameters. In …