Dipolar coupled homonuclear spins present challenging, yet useful systems for quantum information processing. In such systems, eigenbasis of the system Hamiltonian is the appropriate computational basis and coherent control can be achieved by specially designed strongly modulating pulses. In this letter we describe the first experimental implementation of the quantum algorithm for numerical gradient estimation on the eigenbasis of a four spin system.
@article{arxiv.quant-ph/0610224,
title = {Quantum information processing using strongly-dipolar coupled nuclear spins},
author = {T. S. Mahesh and Dieter Suter},
journal= {arXiv preprint arXiv:quant-ph/0610224},
year = {2009}
}