Satisfactory Hamiltonian formulation of the generalized GW framework

Develop a satisfactory Hamiltonian formulation of the generalized Ginsparg–Wilson framework for lattice fermionic anomalies to enable quantum computing applications and better integrate with condensed-matter approaches.

Background

The paper’s constructions are presented in a Euclidean lattice field theory setting. The authors emphasize that a Hamiltonian formulation would be essential both for practical quantum computing applications and for bridging conceptual and technical divides with the condensed-matter literature on symmetry-protected topological phases and anomalies.

They explicitly identify the lack of such a Hamiltonian framework as an open problem, suggesting it as a key step toward a more complete picture of lattice fermionic anomalies.