Holonomic quantum computation: a scalable adiabatic architecture
Clara Wassner, Tommaso Guaita, Jens Eisert, and Jose Carrasco
Quantum 10, 2080 (2026). https://doi.org/10.22331/q-2026-04-23-2080 Holonomic quantum computation exploits the geometric evolution of eigenspaces of a degenerate Hamiltonian to implement unitary evolution of computational states. In this work we introduce a framework for performing scalable quantum computation in atom experiments through a universal set of fully holonomic adiabatic gates. Through a detailed differential geometric analysis, we elucidate the geometric nature of these gates and the