document: Towards a NMR implementation of a quantum lattice gas algorithm Recent theoretical results suggest that an array of quantum information processors communicating via classical channels can be used to solve fluid dynamics problems . Quantum lattice-gas algorithms -LRB- QLGA -RRB- running on such architectures have been shown to solve the diffusion equation and the nonlinear Burgers equations . In this report , we describe progress towards an ensemble nuclear magnetic resonance -LRB- NMR -RRB- implementation of a QLGA that solves the diffusion equation . The methods rely on NMR techniques to encode an initial mass density into an ensemble of two-qubit quantum information processors . Using standard pulse techniques , the mass density can then manipulated and evolved through the steps of the algorithm . We provide the experimental results of our first attempt to realize the NMR implementation . The results qualitatively follow the ideal simulation , but the observed implementation errors highlight the need for improved control
doc_bio_tags: O O B I O O B I I I O O O O O O O O B I I O O O O O O O O O B I I O O O O O O O O O O O O O O O O O B I O O B I I O O O O O O O O O O O B I I O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: nmr implementation quantum lattice gas algorithm quantum information processors fluid dynamics problems diffusion equation nonlinear burgers equations nuclear magnetic resonance
abstractive_keyphrases: two-qubit quantum information.processors