Abstract:
Quantum control requires full knowledge of the system many-body Hamiltonian. In many cases this information is not directly available due to restricted access to the system. Here we show how to indirectly estimate all the coupling strengths in a spin chain by measuring one spin at the end of the chain. We also discuss the efficiency of this “quantum inverse problem” and give a numerical example.
Description:
D. Burgarth, K. Maruyama and F. Nori, Coupling strength estimation for spin chains despite restricted access Phys. Rev. A 79, 020305(R) (2009).