1. Research
  2. Publications

Publications

1996
D. Bao and Lackey, B., “Special eigenforms on the sphere bundle of a Finsler manifold”, Contemporary Mathematics, vol. 196, pp. 67–78, 1996.
D. Bao and Lackey, B., “A Hodge decomposition theorem for Finsler spaces”, Comptes rendus de l'Académie des sciences. Série 1, Mathématique, vol. 323, pp. 51–56, 1996.
1998
B. Lackey, “A Bochner Vanishing Theorem for Elliptic Complexes”, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 199–226.
D. Bao and Lackey, B., “A geometric inequality and a Weitzenboeck formula for Finsler surfaces”, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 245–275.
B. Lackey, “A Lichnerowicz Vanishing Theorem for Finsler Spaces”, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 227–243.
1999
D. Bao and Lackey, B., “Randers surfaces whose Laplacians have completely positive symbol”, Nonlinear Analysis: Theory, Methods & Applications, vol. 38, pp. 27–40, 1999.
B. Lackey, “A model of trophodynamics”, Nonlinear Analysis: Theory, Methods & Applications, vol. 35, pp. 37–57, 1999.
J. D. E. Grant and Lackey, B., “On Galilean connections and the first jet bundle”, 1999.
J. Bub, “Quantum Mechanics as a Principle Theory”, 1999.
J. Bub, Clifton, R., and Goldstein, S., “Revised Proof of the Uniqueness Theorem for 'No Collapse' Interpretations of Quantum Mechanics ”, 1999.
2000
A. M. Childs, Preskill, J., and Renes, J., “Quantum information and precision measurement”, Journal of Modern Optics, vol. 47, no. 2-3, pp. 155 - 176, 2000.
B. Lackey, “Metric Equivalence of Path Spaces”, Nonlinear Studies, vol. 7, no. 2, 2000.
J. Bub, “The quantum bit commitment theorem”, 2000.
A. M. Childs and Chuang, I. L., “Universal quantum computation with two-level trapped ions”, Physical Review A, vol. 63, no. 1, 2000.
A. M. Childs, Farhi, E., Goldstone, J., and Gutmann, S., “Finding cliques by quantum adiabatic evolution”, 2000.
2001
A. M. Childs, “Secure assisted quantum computation”, 2001.
D. Bacon, Childs, A. M., Chuang, I. L., Kempe, J., Leung, D. W., and Zhou, X., “Universal simulation of Markovian quantum dynamics”, Physical Review A, vol. 64, no. 6, 2001.
A. M. Childs, Farhi, E., and Preskill, J., “Robustness of adiabatic quantum computation”, Physical Review A, vol. 65, no. 1, 2001.
J. Bub, “Secure key distribution via pre- and post-selected quantum states”, Physical Review A, vol. 63, no. 3, 2001.
A. M. Childs, Patterson, R. B., and MacKay, D. J. C., “Exact sampling from non-attractive distributions using summary states”, Physical Review E, vol. 63, no. 3, 2001.
A. M. Childs, Chuang, I. L., and Leung, D. W., “Realization of quantum process tomography in NMR”, Physical Review A, vol. 64, no. 1, 2001.
A. M. Childs, Farhi, E., and Gutmann, S., “An example of the difference between quantum and classical random walks”, Quantum Information Processing, vol. 1, no. 1/2, pp. 35 - 43, 2001.
2002
J. Bub, “Maxwell's demon and the thermodynamics of computation”, 2002.
B. Lackey, “On the Gauss–Bonnet Formula in Riemann–Finsler Geometry”, Bulletin of the London Mathematical Society, vol. 34, pp. 329–340, 2002.
A. M. Childs, Leung, D. W., Verstraete, F., and Vidal, G., “Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions ”, 2002.