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 …

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) …

Does provable absence of barren plateaus imply classical simulability? Or, why we need to rethink variational quantum computing

M Cerezo, M Larocca, D García-Martín, NL Diaz… - arxiv preprint arxiv …, 2023 - arxiv.org
A large amount of effort has recently been put into understanding the barren plateau
phenomenon. In this perspective article, we face the increasingly loud elephant in the room …

Large gradients via correlation in random parameterized quantum circuits

T Volkoff, PJ Coles - Quantum Science and Technology, 2021 - iopscience.iop.org
Scaling of variational quantum algorithms to large problem sizes requires efficient
optimization of random parameterized quantum circuits. For such circuits with uncorrelated …

Layer VQE: A variational approach for combinatorial optimization on noisy quantum computers

X Liu, A Angone, R Shaydulin, I Safro… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
Combinatorial optimization on near-term quantum devices is a promising path to
demonstrating quantum advantage. However, the capabilities of these devices are …

Showcasing a barren plateau theory beyond the dynamical lie algebra

NL Diaz, D García-Martín, S Kazi, M Larocca… - arxiv preprint arxiv …, 2023 - arxiv.org
Barren plateaus have emerged as a pivotal challenge for variational quantum computing.
Our understanding of this phenomenon underwent a transformative shift with the recent …

Universal compiling and (no-) free-lunch theorems for continuous-variable quantum learning

T Volkoff, Z Holmes, A Sornborger - PRX Quantum, 2021 - APS
Quantum compiling, where a parameterized quantum circuit is trained to learn a target
unitary, is an important primitive for quantum computing that can be used as a subroutine to …

Energy-dependent barren plateau in bosonic variational quantum circuits

B Zhang, Q Zhuang - Quantum Science and Technology, 2024 - iopscience.iop.org
Bosonic variational quantum circuits (VQCs) are crucial for information processing in
microwave cavities, trapped ions, and optical systems, widely applicable in quantum …

Variational quantum algorithms to estimate rank, quantum entropies, fidelity, and Fisher information via purity minimization

KC Tan, T Volkoff - Physical Review Research, 2021 - APS
Variational quantum algorithms (VQAs) that estimate values of widely used physical
quantities such as the rank, the quantum entropies, the Bures fidelity, and the quantum …

Ancilla-free continuous-variable SWAP test

TJ Volkoff, Y Subaşı - Quantum, 2022 - quantum-journal.org
We propose a continuous-variable (CV) SWAP test that requires no ancilla register, thereby
generalizing the ancilla-free SWAP test for qubits. In this ancilla-free CV SWAP test, the …