TY - JOUR T1 - Scalable quantum computation in systems with Bose-Hubbard dynamics JF - Journal of Modern Optics Y1 - 2004 A1 - Guido Pupillo A1 - Ana Maria Rey A1 - Gavin Brennen A1 - Carl J. Williams A1 - Charles W. Clark AB - 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. VL - 51 U4 - 2395 - 2404 UR - http://arxiv.org/abs/quant-ph/0403052v2 CP - 16-18 J1 - Journal of Modern Optics U5 - 10.1080/09500340408231798 ER -