NISQ computing: where are we and where do we go?

JWZ Lau, KH Lim, H Shrotriya, LC Kwek - AAPPS bulletin, 2022 - Springer
In this short review article, we aim to provide physicists not working within the quantum
computing community a hopefully easy-to-read introduction to the state of the art in the field …

Fixed depth Hamiltonian simulation via Cartan decomposition

E Kökcü, T Steckmann, Y Wang, JK Freericks… - Physical Review Letters, 2022 - APS
Simulating quantum dynamics on classical computers is challenging for large systems due
to the significant memory requirements. Simulation on quantum computers is a promising …

Entanglement perspective on the quantum approximate optimization algorithm

M Dupont, N Didier, MJ Hodson, JE Moore, MJ Reagor - Physical Review A, 2022 - APS
Many quantum algorithms seek to output a specific bitstring solving the problem of interest—
or a few if the solution is degenerate. It is the case for the quantum approximate optimization …

Quantum dynamics simulations beyond the coherence time on noisy intermediate-scale quantum hardware by variational trotter compression

NF Berthusen, TV Trevisan, T Iadecola, PP Orth - Physical Review Research, 2022 - APS
We demonstrate a postquench dynamics simulation of a Heisenberg model on present-day
IBM quantum hardware that extends beyond the coherence time of the device. This is …

Generalization of quantum machine learning models using quantum fisher information metric

T Haug, MS Kim - Physical Review Letters, 2024 - APS
Generalization is the ability of machine learning models to make accurate predictions on
new data by learning from training data. However, understanding generalization of quantum …

Complexity of implementing Trotter steps

GH Low, Y Su, Y Tong, MC Tran - PRX Quantum, 2023 - APS
Quantum dynamics can be simulated on a quantum computer by exponentiating elementary
terms from the Hamiltonian in a sequential manner. However, such an implementation of …

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 …

Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension

R Wiersema, E Kökcü, AF Kemper… - arxiv preprint arxiv …, 2023 - arxiv.org
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 …

Algebraic bethe circuits

A Sopena, MH Gordon, D García-Martín, G Sierra… - Quantum, 2022 - quantum-journal.org
Abstract The Algebraic Bethe Ansatz (ABA) is a highly successful analytical method used to
exactly solve several physical models in both statistical mechanics and condensed-matter …

An algebraic quantum circuit compression algorithm for hamiltonian simulation

D Camps, E Kökcü, L Bassman Oftelie… - SIAM Journal on Matrix …, 2022 - SIAM
Quantum computing is a promising technology that harnesses the peculiarities of quantum
mechanics to deliver computational speedups for some problems that are intractable to …