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2018

Learning a local Hamiltonian from local measurements

Bairey, Eyal, Arad, Itai, Lindner, Netanel H.

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Recovering an unknown Hamiltonian from measurements is an increasingly important task for certification of noisy quantum devices and simulators.

Recent works have succeeded in recovering the Hamiltonian of an isolated quantum system with local interactions from long-ranged correlators of a single eigenstate.
Here, we show that such Hamiltonians can be recovered from local observables alone, using computational and measurement resources scaling linearly with the system size.
In fact, to recover the Hamiltonian acting on each finite spatial domain, only observables within that domain are required.

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