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- Title
Heisenberg-limited Hamiltonian learning for interacting bosons.
- Authors
Li, Haoya; Tong, Yu; Gefen, Tuvia; Ni, Hongkang; Ying, Lexing
- Abstract
We develop a protocol for learning a class of interacting bosonic Hamiltonians from dynamics with Heisenberg-limited scaling. For Hamiltonians with an underlying bounded-degree graph structure, we can learn all parameters with root mean square error ϵ using O (1 / ϵ) total evolution time, which is independent of the system size, in a way that is robust against state-preparation and measurement error. In the protocol, we only use bosonic coherent states, beam splitters, phase shifters, and homodyne measurements, which are easy to implement on many experimental platforms. A key technique we develop is to apply random unitaries to enforce symmetry in the effective Hamiltonian, which may be of independent interest.
- Subjects
STANDARD deviations; PHASE shifters; COHERENT states; BEAM splitters; BOSONS; MEASUREMENT errors
- Publication
NPJ Quantum Information, 2024, Vol 10, Issue 1, p1
- ISSN
2056-6387
- Publication type
Article
- DOI
10.1038/s41534-024-00881-2