



@article {1418,
	title = {Scalable register initialization for quantum computing in an optical  lattice
},
	journal = {Journal of Physics B: Atomic, Molecular and Optical Physics},
	volume = {38},
	year = {2005},
	month = {2005/06/14},
	pages = {1687 - 1694},
	abstract = {  The Mott insulator state created by loading an atomic Bose-Einstein
condensate (BEC) into an optical lattice may be used as a means to prepare a
register of atomic qubits in a quantum computer. Such architecture requires a
lattice commensurately filled with atoms, which corresponds to the insulator
state only in the limit of zero inter-well tunneling. We show that a lattice
with spatial inhomogeneity created by a quadratic magnetic trapping potential
can be used to isolate a subspace in the center which is impervious to
hole-hoping. Components of the wavefunction with more than one atom in any well
can be projected out by selective measurement on a molecular photo-associative
transition. Maintaining the molecular coupling induces a quantum Zeno effect
that can sustain a commensurately filled register for the duration of a quantum
computation.
},
	doi = {10.1088/0953-4075/38/11/010},
	url = {http://arxiv.org/abs/quant-ph/0312069v1},
	author = {Gavin K. Brennen and Guido Pupillo and Ana Maria Rey and Charles W. Clark and Carl J. Williams}
}
@article {1419,
	title = {Scalable quantum computation in systems with Bose-Hubbard dynamics},
	journal = {Journal of Modern Optics},
	volume = {51},
	year = {2004},
	month = {2004/02/15},
	pages = {2395 - 2404},
	abstract = {  Several proposals for quantum computation utilize a lattice type architecture
with qubits trapped by a periodic potential. For systems undergoing many body
interactions described by the Bose-Hubbard Hamiltonian, the ground state of the
system carries number fluctuations that scale with the number of qubits. This
process degrades the initialization of the quantum computer register and can
introduce errors during error correction. In an earlier manuscript we proposed
a solution to this problem tailored to the loading of cold atoms into an
optical lattice via the Mott Insulator phase transition. It was shown that by
adding an inhomogeneity to the lattice and performing a continuous measurement,
the unit filled state suitable for a quantum computer register can be
maintained. Here, we give a more rigorous derivation of the register fidelity
in homogeneous and inhomogeneous lattices and provide evidence that the
protocol is effective in the finite temperature regime.
},
	doi = {10.1080/09500340408231798},
	url = {http://arxiv.org/abs/quant-ph/0403052v2},
	author = {Guido Pupillo and Ana Maria Rey and Gavin Brennen and Carl J. Williams and Charles W. Clark}
}
