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Quantum Computation in a Ising Spin Chain Taking into Account Second Neighbor Couplings

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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 2π 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.

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Authors and Affiliations

  1. Departamento de Física, Universidad de Guadalajara, Blvd. Marcelino García Barragan y Calzada Olímpica, 44840, Guadalajara, Jalisco, Mexico

    G. V. López, T. Gorin & L. Lara

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  1. G. V. López
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  2. T. Gorin
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  3. L. Lara
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Correspondence to G. V. López.

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López, G.V., Gorin, T. & Lara, L. Quantum Computation in a Ising Spin Chain Taking into Account Second Neighbor Couplings. Int J Theor Phys 47, 1641–1653 (2008). https://doi.org/10.1007/s10773-007-9607-8

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  • DOI: https://doi.org/10.1007/s10773-007-9607-8

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