Publications

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Book Chapter
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.
Journal Article
M. Jarret, Jordan, S. P., and Lackey, B., Adiabatic optimization versus diffusion Monte Carlo, Physical Review A, vol. 94, p. 042318, 2016.
C. J. Cao and Lackey, B., Approximate Bacon-Shor Code and Holography, Journal of High Energy Physics, vol. 2021, 2021.
B. Lackey, A belief propagation algorithm based on domain decomposition, 2018.
Z. Bian, Chudak, F., Israel, R., Lackey, B., Macready, W. G., and Roy, A., Discrete optimization using quantum annealing on sparse Ising models, Frontiers in Physics, vol. 2, p. 56, 2014.
N. Bao, Bousso, R., Jordan, S. P., and Lackey, B., Fast optimization algorithms and the cosmological constant, Physical Review D, vol. 96, no. 10, p. 103512, 2017.
N. Rodrigues and Lackey, B., Fully device-independent quantum key distribution using synchronous correlations, 2021.
J. D. E. Grant and Lackey, B., On Galilean connections and the first jet bundle, 1999.
J. DE Grant and Lackey, B., On Galilean connections and the first jet bundle, Central European Journal of Mathematics, vol. 10, pp. 1889–1895, 2012.
B. Lackey, On the Gauss–Bonnet Formula in Riemann–Finsler Geometry, Bulletin of the London Mathematical Society, vol. 34, pp. 329–340, 2002.
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.
Z. Bian, Chudak, F., Israel, R., Lackey, B., Macready, W. G., and Roy, A., Mapping constrained optimization problems to quantum annealing with application to fault diagnosis, 2016.
Z. Bian, Chudak, F., Israel, R. Brian, Lackey, B., Macready, W. G., and Roy, A., Mapping contrained optimization problems to quantum annealing with application to fault diagnosis, Frontiers in ICT, vol. 3, p. 14, 2016.
A. Sundaram and Lackey, B., Mathematical methods for resource-based type theories, 2018.
B. Lackey, Metric Equivalence of Path Spaces, Nonlinear Studies, vol. 7, no. 2, 2000.
B. Lackey, A model of trophodynamics, Nonlinear Analysis: Theory, Methods & Applications, vol. 35, pp. 37–57, 1999.
B. Lackey and Rodrigues, N., Morphisms in categories of nonlocal games, 2018.
B. Lackey and Rodrigues, N., Nonlocal games, synchronous correlations, and Bell inequalities, 2017.
B. Lackey, Penalty models for bitstrings of constant Hamming weight, 2017.
M. Jarret, Lackey, B., Liu, A., and Wan, K., Quantum adiabatic optimization without heuristics, 2018.
N. Rodrigues and Lackey, B., Quantum Lattice Sieving, 2021.
C. J. Cao and Lackey, B., Quantum Lego: Building Quantum Error Correction Codes from Tensor Networks, PRX Quantum, vol. 3, no. 2, p. 020332, 2022.
D. Bao and Lackey, B., Randers surfaces whose Laplacians have completely positive symbol, Nonlinear Analysis: Theory, Methods & Applications, vol. 38, pp. 27–40, 1999.