Quantum state tomography for strongly coupled nuclear spin systems
Fatemeh Anvari Vind, Alexandre M. Souza, Roberto S. Sarthour, Ivan S. Oliveira · Physical Review A · 2014
We perform quantum state tomography (QST) in a three-qubit system consisting of strongly coupled nuclear spins, known in the NMR literature as $ABX$ systems. We find that the number of experiments necessary to perform QST in such systems can be reduced with respect to those containing three qubits weakly coupled, which reduces the experimental effort required for the complete density-matrix reconstruction. To test the procedure we implement the full protocol for quantum teleportation. The tomographic results demonstrate that the density matrix can be reconstructed with fewer operations and high fidelity.