3 papers
quant-ph2024
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…
math-ph2024
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…
quant-ph2024
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…