PIRSA:19110145 Scientific Series Quantum Information Other

DOI10.48660/19110145

Series: Perimeter Institute Quantum Discussions

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}}
}

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.

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