“…We begin by outlining the general design criteria: 38,41,45 (1) Nuclei having spin magnetic moment I D 1/2 with either a high natural abundance, or using labelled samples, and having a relatively large sensitivity (the most common nuclei are 1 H, 13 C, 15 N, 19 F and 31 P); (2) compounds should be either soluble in some common NMR solvent or naturally found in a liquid state (although recent articles have shown that liquid crystals 47 and solid-state systems 48 -51 can be used); (3) the differences in chemical shifts of the nuclei should be as large as possible (this is commonly achieved by using nuclei with a large range of chemical shifts, such as 13 C and 19 F, and/or heteronuclear spin systems since separate r.f. channels can be used for each nucleus); (4) spin-spin coupling between nuclei should be large; (5) the chosen nuclei, although not required to be mutually coupled, must form a contiguous network of couplings; (6) the chosen system must have sufficiently long relaxation times to limit decoherence in addition to allowing for the evolution of implemented gates (spin-spin relaxation times, T 2 , are typically shorter than spin-lattice relaxation times, T 1 , and while it is the limiting factor it can be of the order of seconds, time enough for up to 10 14 gates).…”