Hamiltonian tomography for many-body systems


Li, Z. (2019). Hamiltonian tomography for many-body systems. Perimeter Institute. https://pirsa.org/19110145


Li, Zhi. Hamiltonian tomography for many-body systems. Perimeter Institute, Nov. 20, 2019, https://pirsa.org/19110145


          @misc{ pirsa_PIRSA:19110145,
            doi = {10.48660/19110145},
            url = {https://pirsa.org/19110145},
            author = {Li, Zhi},
            keywords = {Quantum Information, Other},
            language = {en},
            title = {Hamiltonian tomography for many-body systems},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {nov},
            note = {PIRSA:19110145 see, \url{https://pirsa.org}}

Zhi Li Perimeter Institute for Theoretical Physics


We show that a generic many-body Hamiltonian can be uniquely reconstructed from a single pair of initial-final states under the unitary time evolution. Interesting it is, this method is not practical due to its high complexity. We then propose a practical method for Hamiltonian reconstruction from multiple pairs of initial-final states. The stability of this method is mathematically proved and numerically verified.

This work is joint with Liujun Zou and Timothy Hsieh.