Hamiltonian tomography for many-body systems

PIRSA ID: 19110145
Series: Perimeter Institute Quantum Discussions
Event Type: Seminar
Scientific Area(s):
Quantum Information
 ,
Other
End date:
Speaker(s):
November 20, 2019 at 4:00 PM Time Room

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.