9 citations · 9 across the 5 of their papers we have counts for
5 papers
Interaction geometry and ground-state properties of sparse quantum lattice models
Alex Gunning, Sebastian Schmid, Zhengxiao Liu +3
We investigate how interaction geometry shapes the low-energy phases of sparse tunable long-range quantum models. We focus on a class of graphs whose degree grows logarithmically w…
Counting LEGO configurations
Alexander Gunning, Anthony J Guttmann, Rasmus M Nilsson
We discuss the problem of counting certain LEGO structures, primarily those comprising parallel tiles. These can be combined, as a single LEGO structure, by interlocki…
Geometry-driven transitions in sparse long-range spin models with cold atoms
Alex Gunning, Aydin Deger, Sridevi Kuriyattil +1
We explore the influence of geometry in the critical behavior of sparse long-range spin models. We examine a model with interactions that can be continuously tuned to induce distin…
FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI
Elliot Glazer, Ege Erdil, Tamay Besiroglu +21
We introduce FrontierMath, a benchmark of hundreds of original, exceptionally challenging mathematics problems crafted and vetted by expert mathematicians. The questions cover most…
Efficiency of Feynman's quantum computer
Ralph Jason Costales, Alex Gunning, Tony Dorlas
Feynman's circuit-to-Hamiltonian construction enables the mapping of a quantum circuit to a time-independent Hamiltonian. This model introduces a Hilbert space made from an ancilla…