Structure learning of Hamiltonians from real-time evolution

arXiv:2405.00082v1 Announce Type: cross
Abstract: We initiate the study of Hamiltonian structure learning from real-time evolution: given the ability to apply $e^{-\mathrm{i} Ht}$ for an unknown local Hamiltonian $H = \sum_{a = 1}^m \lambda_a E_a$ on $n$ qubits, the goal is to recover $H$. This problem is already well-studied under the assumption that the interaction terms, $E_a$, are given, and only the interaction strengths, $\lambda_a$, are unknown. But is it possible to learn a local Hamiltonian without prior knowledge of …

abstract apply arxiv cs.ds cs.lg evolution quant-ph qubits real-time study type