Publications

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F. G. S. L. Brandão, Kalev, A., Li, T., Lin, C. Yen- Yu, Svore, K. M., and Wu, X., Exponential Quantum Speed-ups for Semidefinite Programming with Applications to Quantum Learning, 2017.
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.
V. Dunjko, Liu, Y. - K., Wu, X., and Taylor, J. M., Exponential improvements for quantum-accessible reinforcement learning, 2017.
D. W. Berry, Childs, A. M., Cleve, R., Kothari, R., and Somma, R. D., Exponential improvement in precision for simulating sparse Hamiltonians, Proceedings of the 46th ACM Symposium on Theory of Computing (STOC 2014), pp. 283-292, 2014.
A. M. Childs, Cleve, R., Deotto, E., Farhi, E., Gutmann, S., and Spielman, D. A., Exponential algorithmic speedup by quantum walk, 2002.
P. Bierhorst, Knill, E., Glancy, S., Zhang, Y., Mink, A., Jordan, S., Rommal, A., Liu, Y. - K., Christensen, B., Nam, S. Woo, Stevens, M. J., and Shalm, L. K., Experimentally Generated Randomness Certified by the Impossibility of Superluminal Signals, Nature, vol. 556, pp. 223-226, 2018.
P. Bierhorst, Knill, E., Glancy, S., Mink, A., Jordan, S. P., Rommal, A., Liu, Y. - K., Christensen, B., Nam, S. Woo, and Shalm, L. K., Experimentally Generated Random Numbers Certified by the Impossibility of Superluminal Signaling, 2017.
H. Sosa-Martinez, Lysne, N. K., Baldwin, C. H., Kalev, A., Deutsch, I. H., and Jessen, P. S., Experimental Study of Optimal Measurements for Quantum State Tomography, Physical Review Letters, vol. 119, no. 15, p. 150401, 2017.
P. Richerme, Senko, C., Smith, J., Lee, A., Korenblit, S., and Monroe, C., Experimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States , Physical Review A, vol. 88, no. 1, 2013.
Y. Zhang, Shalm, L. K., Bienfang, J. C., Stevens, M. J., Mazurek, M. D., Nam, S. Woo, Abellán, C., Amaya, W., Mitchell, M. W., Fu, H., Miller, C. A., Mink, A., and Knill, E., Experimental Low-Latency Device-Independent Quantum Randomness, 2018.
N. M. Linke, Gutierrez, M., Landsman, K. A., Figgatt, C., Debnath, S., Brown, K. R., and Monroe, C., Experimental demonstration of quantum fault tolerance, 2016.
K. Rudinger, Kimmel, S., Lobser, D., and Maunz, P., Experimental demonstration of cheap and accurate phase estimation, Physical Review Letters, vol. 118, no. 19, p. 190502, 2017.
N. M. Linke, Maslov, D., Roetteler, M., Debnath, S., Figgatt, C., Landsman, K. A., Wright, K., and Monroe, C., Experimental Comparison of Two Quantum Computing Architectures, Proceedings of the National Academy of Sciences, vol. 114. pp. 3305-3310, 2017.
J. Chen, Duan, R., Ji, Z., Ying, M., and Yu, J., Existence of Universal Entangler, Journal of Mathematical Physics, vol. 49, no. 1, p. 012103, 2008.
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.
S. Ganeshan, Gorshkov, A. V., Gurarie, V., and Galitski, V. M., Exactly soluble model of boundary degeneracy, Physical Review B, vol. 95, 2017.
B. Fefferman, Foss-Feig, M., and Gorshkov, A. V., Exact sampling hardness of Ising spin models, Physical Review A, vol. 96, no. 3, p. 032324, 2017.
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.
X. Wang and Wilde, M. M., Exact entanglement cost of quantum states and channels under PPT-preserving operations, 2018.
A. M. Childs, Reichardt, B. W., Spalek, R., and Zhang, S., Every NAND formula of size N can be evaluated in time N^1/2+o(1) on a quantum computer , 2007.
C. Miller, Evasiveness of Graph Properties and Topological Fixed-Point Theorems, Foundations and Trends in Theoretical Computer Science, vol. 7, pp. 337-415, 2013.
C. Miller, An Euler–Poincaré bound for equicharacteristic étale sheaves, Algebra & Number Theory, vol. 4, no. 1, pp. 21 - 45, 2010.
P. W. Shor and Jordan, S. P., Estimating Jones polynomials is a complete problem for one clean qubit, Quantum Information & Computation, vol. 8, no. 8, pp. 681-714, 2008.
S. P. Jordan and Wocjan, P., Estimating Jones and HOMFLY polynomials with One Clean Qubit, Quantum Information and Computation, vol. 9, no. 3, pp. 264-289, 2009.
S. P. Jordan, Farhi, E., and Shor, P. W., Error correcting codes for adiabatic quantum computation, Physical Review A, vol. 74, no. 5, 2006.