Gharibian: Ground state connectivity of local Hamiltonians
Sevag Gharibian, University of California, Berkeley
The study of ground spaces of local Hamiltonians is a fundamental task
in condensed matter physics. In terms of computational complexity
theory, a common focus in this area has been to estimate a given
Hamiltonian’s ground state energy. However, from a physics
perspective, it is often more relevant to understand the structure of
the ground space itself. In this paper, we pursue the latter direction
by introducing the notion of “ground state connectivity” of local