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Journal Article
M. Jarret and Jordan, S. P., “Modulus of continuity eigenvalue bounds for homogeneous graphs and convex subgraphs with applications to quantum Hamiltonians”, Journal of Mathematical Analysis and Applications, vol. 452, no. 2, pp. 1269-1290, 2017.
S. P. Jordan, “Permutational Quantum Computing”, Quantum Information & Computation, vol. 10, no. 5, pp. 470-497, 2010.
S. P. Jordan and Farhi, E., “Perturbative Gadgets at Arbitrary Orders”, Physical Review A, vol. 77, no. 6, 2008.
J. Bringewatt, Dorland, W., and Jordan, S. P., “Polynomial Time Algorithms for Estimating Spectra of Adiabatic Hamiltonians”, Phys. Rev. A, vol. 100, no. 032336, 2019.
I. Kassal, Jordan, S. P., Love, P. J., Mohseni, M., and Aspuru-Guzik, A., “Polynomial-time quantum algorithm for the simulation of chemical dynamics ”, Proceedings of the National Academy of Sciences, vol. 105, no. 48, pp. 18681 - 18686, 2008.
T. J. Sewell and Jordan, S. P., “Preparing Renormalization Group Fixed Points on NISQ Hardware”, 2021.
S. P. Jordan, Gosset, D., and Love, P. J., “QMA-complete problems for stoquastic Hamiltonians and Markov matrices”, Physical Review A, vol. 81, no. 3, 2010.
P. C. S. Costa, Jordan, S. P., and Ostrander, A., “Quantum Algorithm for Simulating the Wave Equation”, Phys. Rev. A , vol. 99 , no. 012323 , 2019.
S. P. Jordan, Lee, K. S. M., and Preskill, J., “Quantum Algorithms for Fermionic Quantum Field Theories”, 2014.
S. P. Jordan, Lee, K. S. M., and Preskill, J., “Quantum Algorithms for Quantum Field Theories”, Science, vol. 336, no. 6085, pp. 1130 - 1133, 2012.
S. P. Jordan, “Quantum Computation Beyond the Circuit Model”, 2008.
S. P. Jordan, Lee, K. S. M., and Preskill, J., “Quantum Computation of Scattering in Scalar Quantum Field Theories”, Quantum Information and Computation, vol. 14, no. 11-12, pp. 1014-1080, 2014.
S. P. Jordan and Liu, Y. - K., “Quantum Cryptanalysis: Shor, Grover, and Beyond”, IEEE Security & Privacy , vol. 16, no. 5, pp. 14-21, 2018.
A. Hamed Moosavian, Garrison, J. R., and Jordan, S. P., “Site-by-site quantum state preparation algorithm for preparing vacua of fermionic lattice field theories ”, 2019.
S. P. Jordan, “Strong Equivalence of Reversible Circuits is coNP-complete”, Quantum Information Computation, vol. 14, pp. 1302–1307, 2014.
A. D. Bookatz, Jordan, S. P., Liu, Y. - K., and Wocjan, P., “Testing quantum expanders is co-QMA-complete”, Physical Review A, vol. 87, no. 4, 2013.
G. Alagic, Jarret, M., and Jordan, S. P., “Yang-Baxter operators need quantum entanglement to distinguish knots”, Journal of Physics A, vol. 49, no. 7, p. 075203, 2016.