Algorithmic shadow spectroscopy

HHS Chan, R Meister, ML Goh, B Koczor - arxiv preprint arxiv:2212.11036, 2022 - arxiv.org
We present shadow spectroscopy as a simulator-agnostic quantum algorithm for estimating
energy gaps using very few circuit repetitions (shots) and no extra resources (ancilla qubits) …

Combining matrix product states and noisy quantum computers for quantum simulation

B Anselme Martin, T Ayral, F Jamet, MJ Rančić… - Physical Review A, 2024 - APS
Matrix product states (MPSs) and matrix product operators (MPOs) have been proven to be a
powerful tool to study quantum many-body systems but are restricted to moderately …

Deep Circuit Compression for Quantum Dynamics via Tensor Networks

J Gibbs, L Cincio - arxiv preprint arxiv:2409.16361, 2024 - arxiv.org
Dynamic quantum simulation is a leading application for achieving quantum advantage.
However, high circuit depths remain a limiting factor on near-term quantum hardware. We …

Direct Estimation of the Density of States for Fermionic Systems

ML Goh, B Koczor - arxiv preprint arxiv:2407.03414, 2024 - arxiv.org
Simulating time evolution is one of the most natural applications of quantum computers and
is thus one of the most promising prospects for achieving practical quantum advantage …

Classical and quantum algorithms for many-body problems

T Ayral - Comptes Rendus. Physique, 2025 - comptes-rendus.academie-sciences …
The many-body problem is central to many fields, such as condensed-matter physics and
chemistry, but also to combinatorial optimization, which is nothing but a classical many-body …

Dynamic, Symmetry-Preserving, and Hardware-Adaptable Circuits for Quantum Computing Many-Body States and Correlators of the Anderson Impurity Model

EB Jones, CJ Winkleblack, C Campbell… - arxiv preprint arxiv …, 2024 - arxiv.org
We present a hardware-reconfigurable ansatz on $ N_q $-qubits for the variational
preparation of many-body states of the Anderson impurity model (AIM) with $ N_ {\text …

[PDF][PDF] Tensor-Variate Machine Learning on Graphs

YL Xu - core.ac.uk
Traditional machine learning algorithms are facing significant challenges as the world enters
the era of big data, with a dramatic expansion in volume and range of applications and an …