Quantum computation in a Ising spin chain taking into account second neighbor couplings - Quantum Physics

Abstract: We consider the realization of a quantum computer in a chain of nuclear spinscoupled by an Ising interaction. Quantum algorithms can be performed with thehelp of appropriate radio-frequency pulses. In addition to the standardnearest-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, wherethe additional coupling eventually allows to save a few pulses. We illustrateour results with two numerical simulations: the Shor prime factorization of thenumber 4 and the teleportation of a qubit along a chain of 3 qubits. In bothcases, the optimal Rabi frequency (to suppress non-resonant effects) dependsprimarily on the strength of the second neighbor interaction.

Author: G. V. López, T. Gorin, L. Lara

Source: https://arxiv.org/