Protocol using static single-qubit fields achieves Heisenberg-limited learning of geometrically local many-body Hamiltonians without requiring fast or trusted multi-qubit gates, with field strength independent of system size.

Protocol using static single-qubit fields achieves Heisenberg-limited learning of geometrically local many-body Hamiltonians without requiring fast or trusted multi-qubit gates, with field strength independent of system size.
Novel eigenphase engineering technique enables Heisenberg-limited learning of sparse k-local Hamiltonians with near-maximal step size—matching best known total evolution time while removing precision-dependent bottlenecks in quantum control.
Efficient protocols now enable learning of Hamiltonian parameters in bosonic quantum systems with logarithmic sample complexity—using only heterodyne measurements, dramatically reducing observations needed.