5 papers
A formal framework for higher-order spin models via hypergraphs, polymatroids, and the Tutte polynomial
Khallil Berrekkal, Joanna A. Ellis-Monaghan, Merijn Moody +1
We develop a rigorous mathematical framework for statistical mechanics models on hypergraphs, and give conditions for lifting the classical connection between Potts model partition…
A Hypergraph Tutte Polynomial
Khallil Berrekkal, Joanna A. Ellis-Monaghan, Merijn Moody
We introduce a Tutte polynomial for hypergraphs, , together with , a related Tutte polynomial for -polymatroids. Both invariants admit deletion--contractio…
QMaxCal: Path-Space Regularization for Open Quantum Control via Girsanov's Theorem
Merijn Moody, Zier Mensch, Miranda C. N. Cheng +2
Reliable quantum control in the presence of decoherence requires policies that combat the effect of environmental noise on the controlled dynamics. Open quantum systems under conti…
Modeling Discrete Data with High-Order Vector Potts Models
Aaron De Clercq, Merijn Moody, Clélia de Mulatier
Modeling high-dimensional data is challenging, yet essential to understanding many complex systems. Maximum entropy models such as Ising and Potts models have been used extensively…
Towards a Large Physics Benchmark
Kristian G. Barman, Sascha Caron, Faegheh Hasibi +5
We introduce a benchmark framework developed by and for the scientific community to evaluate, monitor and steer large language model development in fundamental physics. Building on…