We implement an iterative quantum state transfer exploiting the natural dipolar couplings in a spin chain of a liquid crystal NMR system. During each iteration a finite part of the amplitude of the state is transferred and by applying an external operation on only the last two spins the transferred state is made to accumulate on the spin at the end point. The transfer fidelity reaches one asymptotically through increasing the number of iterations. We also implement the inverted version of the scheme which can transfer an arbitrary state from the end point to any other position of the chain and entangle any pair of spins in the chain, acting as a full quantum data bus.
@article{arxiv.0902.3719,
title = {Quantum Data Bus in Dipolar Coupled Nuclear Spin Qubits},
author = {Jingfu Zhang and Michael Ditty and Daniel Burgarth and Colm A. Ryan and C. M. Chandrashekar and Martin Laforest and Osama Moussa and Jonathan Baugh and Raymond Laflamme},
journal= {arXiv preprint arXiv:0902.3719},
year = {2009}
}