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Math @ Duke
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Publications [#379590] of Yu Tong
Papers Published
- Li, H; Tong, Y; Gefen, T; Ni, H; Ying, L, Heisenberg-limited Hamiltonian learning for interacting bosons,
Npj Quantum Information, vol. 10 no. 1
(December, 2024) [doi]
(last updated on 2026/01/16)
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.
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