Since 2023, I have had the privilege of being part of the Semeghini lab, which aims to build a dual-species Rubidium-Ytterbium neutral atom array with continuous reloading. This experience has been instrumental in shaping my understanding of the connection between physics and computation; it helped me gain…
FreeAlgebra supports the differentiable manipulation of freely-generated algebras. It is an offshoot project of the theoretical research on fermionic Gaussian computation and a nice implementation practice for the theory of finitely-generated algebras.
The motivation for this final project is the adjoint problem of Hamiltonian mechanics: understanding how the evolution of a subsystem can be used to infer properties of the composite system. The goal is characterizing dynamical closures—the extension of subsystem dynamics into the Hamiltonian dynamics of a larger system. This problem is not solved by this project. However, the steps towards solving this problem provided insights into the relation between kinematics and dynamics, as well as the boundary between classical and quantum theories.
This final project explores the hypergraph product of convolutional codes. It is part of a research project conducted at MIT’s Shor group in collaboration with Zhiyang He, Andrey Boris Khesin, Jonathan Lu, and Peter Shor. The focus is on exploring quantum CSS codes through the lens of hypergraph products and convolutional code techniques.