Quantum process tomography with informational incomplete data of twoJ-coupled heterogeneous spins relaxation in a time window much greater thanT1
Thiago O. Maciel, Reinaldo O. Vianna, Roberto S. Sarthour, Ivan S. Oliveira · New Journal of Physics · 2015
We reconstruct the time dependent quantum map corresponding to the relaxation process of a twospin system in liquid-state NMR at room temperature.By means of quantum tomography techniques that handle informational incomplete data, we show how to properly post-process and normalize the measurements data for the simulation of quantum information processing, overcoming the unknown number of molecules prepared in a non-equilibrium magnetization state (N j ) by an initial sequence of radiofrequency pulses.From the reconstructed quantum map, we infer both longitudinal (T 1 ) and transversal (T 2 ) relaxation times, and introduce the J-coupling relaxation times (T T , J J 1 2 ), which are relevant for quantum information processing simulations.We show that the map associated to the relaxation process cannot be assumed approximated unital and trace-preserving for times greater than T .