5 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…
Humanity's Last Exam
Long Phan, Alice Gatti, Ziwen Han +1144
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…
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…
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…
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…