Global Control Methods for GHZ State Generation on 1-D Ising Chain

Details Global Control Methods for GHZ State Generation on 1-D Ising Chain Global Control Methods for GHZ State Generation on 1-D Ising Chain

2010-04-15

arxiv.org/abs/1004.2589v2

Phys. Rev. A 82, 012330 (2010)

Physics

Quantum Physics

13 pages, 11 figures

Scientific paper

10.1103/PhysRevA.82.012330

We discuss how to prepare an Ising chain in a GHZ state using a single global control field only. This model does not require the spins to be individually addressable and is applicable to quantum systems such as cold atoms in optical lattices, some liquid- or solid-state NMR experiments, and many nano-scale quantum structures. We show that GHZ states can always be reached asymptotically from certain easy-to-prepare initial states using adiabatic passage, and under certain conditions finite-time reachability can be ensured. To provide a reference useful for future experimental implementations three different control strategies to achieve the objective, adiabatic passage, Lyapunov control and optimal control are compared, and their advantages and disadvantages discussed, in particular in the presence of realistic imperfections such as imperfect initial state preparation, system inhomogeneity and dephasing.

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