5 papers
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…
Bounding many-body properties under partial information and finite measurement statistics
Luke Mortimer, Leonardo Zambrano, Antonio AcÃn +1
Calculating bounds of properties of many-body quantum systems is of paramount importance, since they guide our understanding of emergent quantum phenomena and complement the insigh…
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…
Bounding Large-Scale Bell Inequalities
Luke Mortimer
Bell inequalities are an important tool for studying non-locality, however quickly become computationally intractable as the system size grows. We consider a novel method for findi…
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…