Quantum computation in a Ising spin chain taking into account second neighbor couplings
Abstract
We consider the realization of a quantum computer in a chain of nuclear spins coupled by an Ising interaction. Quantum algorithms can be performed with the help of appropriate radio-frequency pulses. In addition to the standard nearest-neighbor Ising coupling, we also allow for a second neighbor coupling. It is shown, how to apply the 2\pi k method in this more general setting, where the additional coupling eventually allows to save a few pulses. We illustrate our results with two numerical simulations: the Shor prime factorization of the number 4 and the teleportation of a qubit along a chain of 3 qubits. In both cases, the optimal Rabi frequency (to suppress non-resonant effects) depends primarily on the strength of the second neighbor interaction.
Cite
@article{arxiv.0705.3688,
title = {Quantum computation in a Ising spin chain taking into account second neighbor couplings},
author = {G. V. López and T. Gorin and L. Lara},
journal= {arXiv preprint arXiv:0705.3688},
year = {2009}
}