Construction and implementation of NMR quantum logic gates for two spin systems

The implementation of small prototype quantum computers has been studied through ensemble quantum computing via NMR measurements. In such laboratory studies it is convenient to have access to a wide array of logic gates. Here a systematic approach to reduce the logic gate to an NMR pulse sequence is introduced. This approach views the truth table for a quantum logic operation as a permutation matrix that corresponds to a propagator for an NMR transition. This propagator is then used as the starting point for the derivation of a pulse sequence, Pulse sequences for all the permutations of a four level system are reported along with implementations of representative examples on a two spin-1/2 system, C-13-labeled chloroform, (C) 1999 Academic Press.