7 papers
A scalable and real-time neural decoder for topological quantum codes
Andrew W. Senior, Thomas Edlich, Francisco J. H. Heras +21
Fault-tolerant quantum computing will require error rates far below those achievable with physical qubits. Quantum error correction (QEC) bridges this gap, but depends on decoders…
Discovery of Unstable Singularities
Yongji Wang, Mehdi Bennani, James Martens +19
Whether singularities can form in fluids remains a foundational unanswered question in mathematics. This phenomenon occurs when solutions to governing equations, such as the 3D Eul…
The unknotting number, hard unknot diagrams, and reinforcement learning
Taylor Applebaum, Sam Blackwell, Alex Davies +5
We have developed a reinforcement learning agent that often finds a minimal sequence of unknotting crossing changes for a knot diagram with up to 200 crossings, hence giving an upp…
AlphaEvolve: A coding agent for scientific and algorithmic discovery
Alexander Novikov, Ngân Vũ, Marvin Eisenberger +15
In this white paper, we present AlphaEvolve, an evolutionary coding agent that substantially enhances capabilities of state-of-the-art LLMs on highly challenging tasks such as tack…
Drums of high width
Alex Davies, Prateek Gupta, Sebastien Racaniere +4
We provide a family of -dimensional prismatoids whose width grows linearly in the number of vertices. This provides a new infinite family of counter-examples to the Hirsch conje…
Advancing Geometry with AI: Multi-agent Generation of Polytopes
Grzegorz Swirszcz, Adam Zsolt Wagner, Geordie Williamson +7
Polytopes are one of the most primitive concepts underlying geometry. Discovery and study of polytopes with complex structures provides a means of advancing scientific knowledge. C…