4 papers
A mathematical theory of topological invariants of quantum lattice systems
Adam Artymowicz, Anton Kapustin, Bowen Yang
We show that Hall conductance and its non-abelian and higher-dimensional analogs are obstructions to promoting a symmetry of a state to a gauge symmetry. To do this, we define a lo…
Certified algorithms for quantum Hamiltonian learning via energy-entropy inequalities
Adam Artymowicz, Hamza Fawzi, Omar Fawzi +1
We consider the problem of learning the Hamiltonian of a quantum system from estimates of Gibbs-state expectation values. Various methods for achieving this task were proposed rece…
Efficient Hamiltonian learning from Gibbs states
Adam Artymowicz
We describe a novel algorithm that learns a Hamiltonian from local expectations of its Gibbs state using the free energy variational principle. The algorithm avoids the need to com…
Quantization of the higher Berry curvature and the higher Thouless pump
Adam Artymowicz, Anton Kapustin, Nikita Sopenko
We show that for families of 1d lattice systems in an invertible phase, the cohomology class of the higher Berry curvature can be refined to an integral degree-3 class on the param…