4 papers
Scalable Ground-State Certification of Quantum Spin Systems via Structured Noncommutative Polynomial Optimization
Jie Wang, David Jansen, Irénée Frerot +3
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-Rodríguez, 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…
Mapping Phase Diagrams of Quantum Spin Systems through Semidefinite-Programming Relaxations
David Jansen, Donato Farina, Luke Mortimer +5
Identifying quantum phase transitions poses a significant challenge in condensed matter physics, as this requires methods that both provide accurate results and scale well with sys…
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…