Implementing Grover's Quantum Search on a Para-Hydrogen based Pure State NMR Quantum Computer

Abstract

We demonstrate the implementation of Grover's quantum search algorithm on a liquid state nuclear magnetic resonance (NMR) quantum computer using essentially pure states. This was achieved using a two qubit device where the initial state is an essentially pure ($\epsilon =1.06\pm 0.04$) singlet nuclear spin state of a pair of 1H nuclei arising from a chemical reaction involving para-hydrogen. We have implemented Grover's search to find one of four inputs which satisfies a function.

4 pages RevTex including 3 figures (figure 3 is low quality to save space). Submitted to Chem Phys Lett

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• Transforming pure and mixed states using an NMR quantum homogeniser
• Bounds on the entanglability of thermal states in liquid-state nuclear magnetic resonance
• Analog Grover search by adiabatic passage in a cavity-laser-atom system
• Implementation of many-qubit Grover search with trapped ultracold ions
• Quantum Oracles in Terms of Universal Gate Set
• Sharing Polarization within Quantum Subspaces
• Three-qubit exact Grover within the blind oracular quantum computation scheme
• Statistical comparison of ensemble implementations of Grover's search algorithm to classical sequential searches