Implementation of NMR quantum computation with parahydrogen-derived high-purity quantum states

We demonstrate the implementation of a quantum algorithm on a liquid-state NMR quantum computer using almost pure states. This was achieved using a two-qubit device where the initial state is an almost pure singlet nuclear spin state of a pair of ${}^1\mathrm{H}$ nuclei arising from a chemical reaction involving parahydrogen. We have implemented Deutsch’s algorithm for distinguishing between constant and balanced functions with a single query.