We present TORAX, a new, open-source, differentiable tokamak core transport simulator implemented in Python using the JAX framework.

Plasma Physics

An important building block for many quantum circuit optimization techniques is pattern matching, where given a large and a small quantum circuit, we are interested in finding all maximal matches of the small circuit, called pattern, in the large circuit, considering pairwise commutation of quantum gates.

Quantum Physics Data Structures and Algorithms

We describe an optimal procedure, as well as its efficient software implementation, for exact and approximate synthesis of two-qubit unitary operations into any prescribed discrete family of XX-type interactions and local gates.

Quantum Physics Symplectic Geometry 81Q99, 53D45

We introduce a unified framework to compute the solution space properties of a broad class of combinatorial optimization problems.

Statistical Mechanics

At the time of writing, `scores` includes over 50 metrics, statistical techniques and data processing tools.

Atmospheric and Oceanic Physics Applications

Defects are a universal feature of crystalline solids, dictating the key properties and performance of many functional materials.

Materials Science Chemical Physics Computational Physics

Despite rapid progress in the field, it is still challenging to discover new ways to take advantage of quantum computation: all quantum algorithms need to be designed by hand, and quantum mechanics is notoriously counterintuitive.

Quantum Physics

While computer science has seen remarkable advancements in foundation models, which remain underexplored in geoscience.

Geophysics

The celebrated geodesic congruence equation of Raychaudhuri, together with the resulting singularity theorems of Penrose and Hawking that it enabled, yield a highly general set of conditions under which a spacetime (or, more generically, a pseudo-Riemannian manifold) is expected to become geodesically incomplete.

General Relativity and Quantum Cosmology

Results: Koma was compared to two well-known open-source MRI simulators, JEMRIS and MRiLab.

Medical Physics