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Liu, Christandl, M., and Verstraete, F., ?N-representability is QMA-complete?, Phys. Rev. Lett., vol. 98, no. 11, 2007.\par \par I. Novikova, Gorshkov, A. V., Phillips, D. F., Sorensen, A. S., Lukin, M. D., and Walsworth, R. L., ?Optimal control of light pulse storage and retrieval?, Physical Review Letters, vol. 98, no. 24, 2007.\par \par A. M. Childs and Lee, T., ?Optimal quantum adversary lower bounds for ordered search?, 2007.\par \par I. Novikova, Gorshkov, A. V., Phillips, D. F., Xiao, Y., Klein, M., and Walsworth, R. L., ?Optimization of slow and stored light in atomic vapor?, Proc. SPIE, vol. 6482, p. 64820M, 2007.\par \par A. V. Gorshkov, Andre, A., Lukin, M. D., and Sorensen, A. S., ?Photon storage in Lambda-type optically dense atomic media. I. Cavity model?, Physical Review A, vol. 76, no. 3, 2007.\par \par A. V. Gorshkov, Andre, A., Lukin, M. D., and Sorensen, A. S., ?Photon storage in Lambda-type optically dense atomic media. II. Free-space model?, Physical Review A, vol. 76, no. 3, 2007.\par \par A. V. Gorshkov, Andre, A., Lukin, M. D., and Sorensen, A. S., ?Photon storage in Lambda-type optically dense atomic media. III. Effects of inhomogeneous broadening?, Physical Review A, vol. 76, no. 3, 2007.\par \par W. - X. Yang and Gong, Z. - X., ?Practical scheme for quantum dense coding between three parties using microwave radiation in trapped ions?, Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 40, no. 6, pp. 1245 - 1252, 2007.\par \par A. M. Childs, Schulman, L. J., and Vazirani, U. V., ?Quantum algorithms for hidden nonlinear structures?, 2007.\par \par G. Alagic, Moore, C., and Russell, A., ?Quantum Algorithms for Simon?s Problem over General Groups?, SODA '07: Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms, pp. 1217?1224, 2007.\par \par G. Alagic and Russell, A., ?Quantum Computing and the Hunt for Hidden Symmetry?, Bulletin of the EATCS, vol. 93, pp. 53-75, 2007.\par \par J. M. Taylor, ?A quantum dot implementation of the quantum NAND algorithm?, 2007.\par \par J. M. Taylor, Petta, J. R., Johnson, A. C., Yacoby, A., Marcus, C. M., and Lukin, M. D., ?Relaxation, dephasing, and quantum control of electron spins in double quantum dots?, Physical Review B, vol. 76, no. 3, 2007.\par \par M. K. Henry, Gorshkov, A. V., Weinstein, Y. S., Cappellaro, P., Emerson, J., Boulant, N., Hodges, J. S., Ramanathan, C., Havel, T. F., Martinez, R., and Cory, D. G., ?Signatures of incoherence in a quantum information processor?, 2007.\par \par W. - X. Yang and Gong, Z. - X., ?Simple scheme for implementing the Deutsch-Jozsa algorithm in thermal cavity?, Journal of Physics A: Mathematical and Theoretical, vol. 40, no. 1, pp. 155 - 161, 2007.\par \par J. Bub and Pitowsky, I., ?Two dogmas about quantum mechanics?, 2007.\par \par A. V. Gorshkov, Andre, A., Fleischhauer, M., Sorensen, A. S., and Lukin, M. D., ?Universal Approach to Optimal Photon Storage in Atomic Media?, Physical Review Letters, vol. 98, no. 12, 2007.\par \par Y. - K. Liu, Lyubashevsky, V., and Micciancio, D., ?On Bounded Distance Decoding for General Lattices?, Proc. RANDOM, pp. 450-461, 2006.\par \par J. M. Taylor and Lukin, M. D., ?Cavity quantum electrodynamics with semiconductor double-dot molecules on a chip?, 2006.\par \par Y. - K. Liu, ?Consistency of Local Density Matrices is QMA-complete?, Proc. RANDOM , pp. 438-449, 2006.\par \par Z. - X. Gong, ?Effective error-suppression scheme for reversible quantum computer?, 2006.\par \par G. Pupillo, Williams, C. J., and Prokof'ev, N. V., ?Effects of finite temperature on the Mott insulator state?, Physical Review A, vol. 73, no. 1, 2006.\par \par S. P. Jordan, Farhi, E., and Shor, P. W., ?Error correcting codes for adiabatic quantum computation?, Physical Review A, vol. 74, no. 5, 2006.\par \par L. Childress, Taylor, J. M., Sorensen, A. S., and Lukin, M. D., ?Fault-tolerant Quantum Communication with Minimal Physical Requirements?, Physical Review Letters, vol. 96, no. 7, 2006.\par \par Y. - K. Liu, ?Gibbs States and the Consistency of Local Density Matrices?, 2006.\par \par J. Gea-Banacloche, Rey, A. Maria, Pupillo, G., Williams, C. J., and Clark, C. W., ?Mean-field treatment of the damping of the oscillations of a 1D Bose gas in an optical lattice?, Physical Review A, vol. 73, no. 1, 2006.\par \par D. P. O'Leary, Brennen, G. K., and Bullock, S. S., ?Parallelism for Quantum Computation with Qudits?, Physical Review A, vol. 74, no. 3, 2006.\par \par G. Pupillo, Rey, A. Maria, Williams, C. J., and Clark, C. W., ?Pseudo-fermionization of 1-D bosons in optical lattices?, New Journal of Physics, vol. 8, no. 8, pp. 161 - 161, 2006.\par \par J. Bub, ?Quantum computation from a quantum logical perspective?, 2006.\par \par A. M. Childs, Leung, D. W., and Lo, H. - K., ?Two-way quantum communication channels?, International Journal of Quantum Information, vol. 04, no. 01, pp. 63 - 83, 2006.\par \par A. M. Childs, Harrow, A. W., and Wocjan, P., ?Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem?, 2006.\par \par S. S. Bullock, O'Leary, D. P., and Brennen, G. K., ?Asymptotically Optimal Quantum Circuits for d-level Systems?, Physical Review Letters, vol. 94, no. 23, 2005.\par \par A. Maria Rey, P. Blakie, B., Pupillo, G., Williams, C. J., and Clark, C. W., ?Bragg Spectroscopy of ultracold atoms loaded in an optical lattice?, Physical Review A, vol. 72, no. 2, 2005.\par \par A. Stairs and Bub, J., ?Conditionalizing and commutativity: a note on Malley?, 2005.\par \par G. K. Brennen, O'Leary, D. P., and Bullock, S. S., ?Criteria for Exact Qudit Universality?, Physical Review A, vol. 71, no. 5, 2005.\par \par G. Alagic and Russell, A., ?Decoherence in Quantum Walks on the Hypercube ?, Phys. Rev. A , vol. 76, no. 6, p. 062304, 2005.\par \par J. M. Taylor and Lukin, M. D., ?Dephasing of quantum bits by a quasi-static mesoscopic environment?, 2005.\par \par A. Blanc, Liu, Y. - K., and Vahda, A., ?Designing Incentives for Peer-to-Peer Routing?, Proc. INFOCOM, pp. 374-385, 2005.\par \par C. Miller, ?Exponential iterated integrals and the relative solvable completion of the fundamental group of a manifold?, Topology, vol. 44, no. 2, pp. 351 - 373, 2005.\par \par S. P. Jordan, ?Fast quantum algorithm for numerical gradient estimation?, Physical Review Letters, vol. 95, no. 5, 2005.\par \par L. I. Childress, Taylor, J. M., Sorensen, A. S., and Lukin, M. D., ?Fault-tolerant quantum repeaters with minimal physical resources, and implementations based on single photon emitters?, Physical Review A, vol. 72, no. 5, 2005.\par \par D. Bacon, Childs, A. M., and van Dam, W., ?From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups?, 2005.\par \par B. Gao, Tiesinga, E., Williams, C. J., and Julienne, P. S., ?Multichannel quantum-defect theory for slow atomic collisions?, Physical Review A, vol. 72, no. 4, 2005.\par \par D. Bacon, Childs, A. M., and van Dam, W., ?Optimal measurements for the dihedral hidden subgroup problem?, 2005.\par \par D. P. O'Leary and Bullock, S. S., ?QR Factorizations Using a Restricted Set of Rotations?, Electronic Transactions on Numerical Analysis, vol. 21, pp. 20-27, 2005.\par \par A. M. Childs and van Dam, W., ?Quantum algorithm for a generalized hidden shift problem?, 2005.\par \par A. M. Childs and Wocjan, P., ?On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems?, 2005.\par \par J. Bub, ?Quantum information and computation?, 2005.\par \par J. Bub, ?Quantum mechanics is about quantum information?, Foundations of Physics, vol. 35, no. 4, pp. 541 - 560, 2005.\par \par G. K. Brennen, Pupillo, G., Rey, A. Maria, Clark, C. W., and Williams, C. J., ?Scalable register initialization for quantum computing in an optical lattice?, Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 38, no. 11, pp. 1687 - 1694, 2005.\par \par K. Xu, Liu, Y., Abo-Shaeer, J. R., Mukaiyama, T., Chin, J. K., Miller, D. E., Ketterle, W., Jones, K. M., and Tiesinga, E., ?Sodium Bose-Einstein Condensates in an Optical Lattice?, Physical Review A, vol. 72, no. 4, 2005.\par \par J. M. Taylor, D\'fcr, W., Zoller, P., Yacoby, A., Marcus, C. M., and Lukin, M. D., ?Solid-state circuit for spin entanglement generation and purification?, Physical Review Letters, vol. 94, no. 23, 2005.\par \par T. Koehler, Tiesinga, E., and Julienne, P. S., ?Spontaneous dissociation of long-range Feshbach molecules?, Physical Review Letters, vol. 94, no. 2, 2005.\par \par G. Alagic, Moore, C., and Russell, A., ?Strong Fourier Sampling Fails over Gn?, 2005.\par \par S. S. Bullock, Brennen, G. K., and O'Leary, D. P., ?Time Reversal and n-qubit Canonical Decompositions?, Journal of Mathematical Physics, vol. 46, no. 6, p. 062104, 2005.\par \par A. Maria Rey, Pupillo, G., Clark, C. W., and Williams, C. J., ?Ultracold atoms confined in an optical lattice plus parabolic potential: a closed-form approach?, Physical Review A, vol. 72, no. 3, 2005.\par \par A. M. Childs, Leung, D. W., and Nielsen, M. A., ?Unified derivations of measurement-based schemes for quantum computation?, Physical Review A, vol. 71, no. 3, 2005.\par \par K. Goral, Koehler, T., Gardiner, S. A., Tiesinga, E., and Julienne, P. S., ?Adiabatic association of ultracold molecules via magnetic field tunable interactions?, Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 37, no. 17, pp. 3457 - 3500, 2004.\par \par J. C. Bienfang, Clark, C. W., Williams, C. J., Hagley, E. W., and Wen, J., ?Advantages of high-speed technique for quantum key distribution; reply to quant-ph/0407050?, 2004.\par \par J. M. Taylor, Giedke, G., Christ, H., Paredes, B., Cirac, J. I., Zoller, P., Lukin, M. D., and Imamoglu, A., ?Quantum information processing using localized ensembles of nuclear spins?, 2004.\par \par J. C. Bienfang, Gross, A. J., Mink, A., Hershman, B. J., Nakassis, A., Tang, X., Lu, R., Su, D. H., Clark, C. W., Williams, C. J., Hagley, E. W., and Wen, J., ?Quantum key distribution with 1.25 Gbps clock synchronization?, Optics Express, vol. 12, no. 9, p. 2011, 2004.\par \par M. S. Safronova, Williams, C. J., and Clark, C. W., ?Relativistic many-body calculations of electric-dipole matrix elements, lifetimes and polarizabilities in rubidium?, Physical Review A, vol. 69, no. 2, 2004.\par \par A. M. Childs, Leung, D. W., and Vidal, G., ?Reversible simulation of bipartite product Hamiltonians?, IEEE Transactions on Information Theory, vol. 50, no. 6, pp. 1189 - 1197, 2004.\par \par G. Pupillo, Rey, A. Maria, Brennen, G., Williams, C. J., and Clark, C. W., ?Scalable quantum computation in systems with Bose-Hubbard dynamics?, Journal of Modern Optics, vol. 51, no. 16-18, pp. 2395 - 2404, 2004.\par \par A. M. Childs and Goldstone, J., ?Spatial search and the Dirac equation?, Physical Review A, vol. 70, no. 4, 2004.\par \par A. M. Childs and Goldstone, J., ?Spatial search by quantum walk?, Physical Review A, vol. 70, no. 2, 2004.\par \par J. Bub, ?Why the quantum??, 2004.\par \par A. Maria Rey, Burnett, K., Roth, R., Edwards, M., Williams, C. J., and Clark, C. W., ?Bogoliubov approach to superfluidity of atoms in an optical lattice?, Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 36, no. 5, pp. 825 - 841, 2003.\par \par H. Halvorson and Bub, J., ?Can quantum cryptography imply quantum mechanics? Reply to Smolin?, 2003.\par \par J. M. Taylor, Imamoglu, A., and Lukin, M. D., ?Controlling a mesoscopic spin environment by quantum bit manipulation?, Physical Review Letters, vol. 91, no. 24, 2003.\par \par B. D. Walker, Lackey, B. C., Muller, J. S., and Schone, P. John, ?Language-reconfigurable universal phone recognition?, in Eighth European Conference on Speech Communication and Technology, 2003.\par \par J. M. Taylor, Marcus, C. M., and Lukin, M. D., ?Long-lived memory for mesoscopic quantum bits?, Physical Review Letters, vol. 90, no. 20, 2003.\par \par A. M. Childs, Haselgrove, H. L., and Nielsen, M. A., ?Lower bounds on the complexity of simulating quantum gates?, Physical Review A, vol. 68, no. 5, 2003.\par \par M. S. Safronova, Williams, C. J., and Clark, C. W., ?Optimizing the fast Rydberg quantum gate?, Physical Review A, vol. 67, no. 4, 2003.\par \par A. M. Childs and Eisenberg, J. M., ?Quantum algorithms for subset finding?, 2003.\par \par G. K. Brennen, Song, D., and Williams, C. J., ?A Quantum Computer Architecture using Nonlocal Interactions?, Physical Review A, vol. 67, no. 5, 2003.\par \par A. Derevianko, Porsev, S. G., Kotochigova, S., Tiesinga, E., and Julienne, P. S., ?Ultracold collision properties of metastable alkaline-earth atoms?, Physical Review Letters, vol. 90, no. 6, 2003.\par \par C. Chin, Vuletic, V., Kerman, A. J., Chu, S., Tiesinga, E., Leo, P. J., and Williams, C. J., ?Ultracold Cs$_2$ Feshbach Spectroscopy?, 2003.\par \par A. M. Childs, Leung, D. W., Verstraete, F., and Vidal, G., ?Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions?, 2002.\par \par R. Clifton, Bub, J., and Halvorson, H., ?Characterizing quantum theory in terms of information-theoretic constraints?, Foundations of Physics, vol. 33, no. 11, pp. 1561 - 1591, 2002.\par \par A. M. Childs, Cleve, R., Deotto, E., Farhi, E., Gutmann, S., and Spielman, D. A., ?Exponential algorithmic speedup by quantum walk?, 2002.\par \par S. E. Sklarz, Friedler, I., Tannor, D. J., Band, Y. B., and Williams, C. J., ?`Flat Phase' Loading of a Bose-Einstein Condensate into an Optical Lattice?, Physical Review A, vol. 66, no. 5, 2002.\par \par B. Lackey, ?On the Gauss?Bonnet Formula in Riemann?Finsler Geometry?, Bulletin of the London Mathematical Society, vol. 34, pp. 329?340, 2002.\par \par J. Bub, ?Maxwell's demon and the thermodynamics of computation?, 2002.\par \par A. M. Childs, Deotto, E., Farhi, E., Goldstone, J., Gutmann, S., and Landahl, A. J., ?Quantum search by measurement?, Physical Review A, vol. 66, no. 3, 2002.\par \par M. A. Nielsen, Bremner, M. J., Dodd, J. L., Childs, A. M., and Dawson, C. M., ?Universal simulation of Hamiltonian dynamics for qudits?, Physical Review A, vol. 66, no. 2, 2002.\par \par 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.\par \par 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.\par \par 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.\par \par A. M. Childs, Farhi, E., and Preskill, J., ?Robustness of adiabatic quantum computation?, Physical Review A, vol. 65, no. 1, 2001.\par \par A. M. Childs, ?Secure assisted quantum computation?, 2001.\par \par J. Bub, ?Secure key distribution via pre- and post-selected quantum states?, Physical Review A, vol. 63, no. 3, 2001.\par \par 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.\par \par A. M. Childs, Farhi, E., Goldstone, J., and Gutmann, S., ?Finding cliques by quantum adiabatic evolution?, 2000.\par \par B. Lackey, ?Metric Equivalence of Path Spaces?, Nonlinear Studies, vol. 7, no. 2, 2000.\par \par J. Bub, ?The quantum bit commitment theorem?, 2000.\par \par 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.\par \par A. M. Childs and Chuang, I. L., ?Universal quantum computation with two-level trapped ions?, Physical Review A, vol. 63, no. 1, 2000.\par \par J. D. E. Grant and Lackey, B., ?On Galilean connections and the first jet bundle?, 1999.\par \par B. Lackey, ?A model of trophodynamics?, Nonlinear Analysis: Theory, Methods & Applications, vol. 35, pp. 37?57, 1999.\par \par J. Bub, ?Quantum Mechanics as a Principle Theory?, 1999.\par \par D. Bao and Lackey, B., ?Randers surfaces whose Laplacians have completely positive symbol?, Nonlinear Analysis: Theory, Methods & Applications, vol. 38, pp. 27?40, 1999.\par \par J. Bub, Clifton, R., and Goldstein, S., ?Revised Proof of the Uniqueness Theorem for 'No Collapse' Interpretations of Quantum Mechanics?, 1999.\par \par B. Lackey, ?A Bochner Vanishing Theorem for Elliptic Complexes?, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 199?226.\par \par 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.\par \par B. Lackey, ?A Lichnerowicz Vanishing Theorem for Finsler Spaces?, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 227?243.\par \par D. Bao and Lackey, B., ?A Hodge decomposition theorem for Finsler spaces?, Comptes rendus de l'Acad\'e9mie des sciences. S\'e9rie 1, Math\'e9matique, vol. 323, pp. 51?56, 1996.\par \par D. Bao and Lackey, B., ?Special eigenforms on the sphere bundle of a Finsler manifold?, Contemporary Mathematics, vol. 196, pp. 67?78, 1996.\par \par }