Video URL

https://pirsa.org/19110145

Hamiltonian tomography for many-body systems

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

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

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

Zhi Li Perimeter Institute for Theoretical Physics

DOI 10.48660/19110145
Source Repository PIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

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.