Characterizing barren plateaus in quantum ansätze with the adjoint representation

E Fontana, D Herman, S Chakrabarti, N Kumar… - Nature …, 2024‏ - nature.com
Variational quantum algorithms, a popular heuristic for near-term quantum computers, utilize
parameterized quantum circuits which naturally express Lie groups. It has been postulated …

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 …

Computing exact moments of local random quantum circuits via tensor networks

P Braccia, P Bermejo, L Cincio, M Cerezo - Quantum Machine Intelligence, 2024‏ - Springer
A basic primitive in quantum information is the computation of the moments EU [Tr [U ρ U†
O] t]. These describe the distribution of expectation values obtained by sending a state ρ …

Towards large-scale quantum optimization solvers with few qubits

M Sciorilli, L Borges, TL Patti, D García-Martín… - Nature …, 2025‏ - nature.com
Quantum computers hold the promise of more efficient combinatorial optimization solvers,
which could be game-changing for a broad range of applications. However, a bottleneck for …

Quantum algorithms for scientific computing

R Au-Yeung, B Camino, O Rathore… - Reports on Progress in …, 2024‏ - iopscience.iop.org
Quantum computing promises to provide the next step up in computational power for diverse
application areas. In this review, we examine the science behind the quantum hype, and the …

Equivariant Variational Quantum Eigensolver to detect phase transitions through energy level crossings

G Crognaletti, G Di Bartolomeo, M Vischi… - Quantum Science …, 2024‏ - iopscience.iop.org
Level spectroscopy stands as a powerful method for identifying the transition point that
delineates distinct quantum phases. Since each quantum phase exhibits a characteristic …

Trainability and expressivity of hamming-weight preserving quantum circuits for machine learning

L Monbroussou, EZ Mamon, J Landman… - arxiv preprint arxiv …, 2023‏ - arxiv.org
Quantum machine learning (QML) has become a promising area for real world applications
of quantum computers, but near-term methods and their scalability are still important …

Symmetry-invariant quantum machine learning force fields

INM Le, O Kiss, J Schuhmacher, I Tavernelli… - New Journal of …, 2025‏ - iopscience.iop.org
Abstract Machine learning techniques are essential tools to compute efficient, yet accurate,
force fields for atomistic simulations. This approach has recently been extended to …

Design and execution of quantum circuits using tens of superconducting qubits and thousands of gates for dense Ising optimization problems

FB Maciejewski, S Hadfield, B Hall, M Hodson… - Physical Review …, 2024‏ - APS
We develop a hardware-efficient ansatz for variational optimization, derived from existing
ansatzes in the literature, that parametrizes subsets of all interactions in the cost Hamiltonian …

Classification of dynamical Lie algebras of 2-local spin systems on linear, circular and fully connected topologies

R Wiersema, E Kökcü, AF Kemper… - npj Quantum …, 2024‏ - nature.com
Much is understood about 1-dimensional spin chains in terms of entanglement properties,
physical phases, and integrability. However, the Lie algebraic properties of the Hamiltonians …