4 papers · 1 filter
Scalable Ground-State Certification of Quantum Spin Systems via Structured Noncommutative Polynomial Optimization
Jie Wang, David Jansen, Irénée Frerot +5
A fundamental challenge in quantum physics is determining the ground-state properties of many-body systems. Whereas standard variational approaches posit a wave-function ansatz and…
Beyond Ground States: Physics-Inspired Optimization of Excited States of Classical Hamiltonians
Erik Altelarrea-Ferré, Júlia Barberà -RodrÃguez, David Jansen +1
We introduce excited local quantum annealing (ExcLQA), a classical, physics-inspired algorithm that extends local quantum annealing (LQA) to identify excited states of classical Is…
Certifying steady-state properties of open quantum systems
Luke Mortimer, Donato Farina, Grazia Di Bello +4
Estimating the steady-state properties of open many-body quantum systems is a fundamental challenge in quantum science and technologies. In this work, we present a scalable approac…
Qudit-inspired optimization for graph coloring
David Jansen, Timothy Heightman, Luke Mortimer +2
We introduce a quantum-inspired algorithm for graph coloring problems (GCPs) that utilizes qudits in a product state, with each qudit representing a node in the graph and parameter…