23 citations · 44 across the 6 of their papers we have counts for
6 papers
From gauging to duality in one-dimensional quantum lattice models
Bram Vancraeynest-De Cuiper, José Garre-Rubio, Frank Verstraete +3
Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensio…
Universal fault tolerant quantum computation in 2D without getting tied in knots
Margarita Davydova, Andreas Bauer, Julio C. Magdalena de la Fuente +3
We show how to perform scalable fault-tolerant non-Clifford gates in two dimensions by introducing domain walls between the surface code and a non-Abelian topological code whose co…
Humanity's Last Exam
Long Phan, Alice Gatti, Ziwen Han +1168
Benchmarks are important tools for tracking the rapid advancements in large language model (LLM) capabilities. However, benchmarks are not keeping pace in difficulty: LLMs now achi…
Quantum cellular automata and categorical dualities of spin chains
Corey Jones, Kylan Schatz, Dominic J. Williamson
Dualities play a central role in the study of quantum spin chains, providing insight into the structure of quantum phase diagrams and phase transitions. In this work we study categ…
Thresholds for post-selected quantum error correction from statistical mechanics
Lucas H. English, Dominic J. Williamson, Stephen D. Bartlett
We identify regimes where post-selection can be used scalably in quantum error correction (QEC) to improve performance. We use statistical mechanical models to analytically quantif…
Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models
Laurens Lootens, Clement Delcamp, Dominic Williamson +1
A systematic approach to dualities in symmetric (1+1)d quantum lattice models has recently been proposed in terms of module categories over the symmetry fusion categories. By chara…