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S. P. Jordan, Kobayashi, H., Nagaj, D., and Nishimura, H., “Achieving perfect completeness in classical-witness quantum Merlin-Arthur proof systems”, Quantum Information and Computation, vol. 12, no. 5-6, pp. 461-471, 2012.
S. P. Jordan and Alagic, G., “Approximating the Turaev-Viro Invariant of Mapping Tori is Complete for One Clean Qubit”, In Proceedings of the Sixth Conference on Theory of Quantum Computation, Communication and Cryptography (TQC11). 2011.
S. P. Jordan, Krovi, H., Lee, K. S. M., and Preskill, J., “BQP-completeness of Scattering in Scalar Quantum Field Theory”, Quantum, vol. 2, p. 44, 2018.
S. P. Jordan, “Permutational Quantum Computing”, Quantum Information & Computation, vol. 10, no. 5, pp. 470-497, 2010.
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 and Wocjan, P., “Efficient quantum circuits for arbitrary sparse unitaries”, Physical Review A, vol. 80, no. 6, 2009.
S. P. Jordan, “Fast quantum computation at arbitrarily low energy”, Physical Review A, vol. 95, p. 032305, 2017.
S. P. Jordan, “Fast quantum algorithms for approximating some irreducible representations of groups ”, 2008.
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.
S. P. Jordan, Mansour, T., and Severini, S., “On the degeneracy of SU(3)k topological phases”, 2010.
S. P. Jordan, “Strong Equivalence of Reversible Circuits is coNP-complete”, Quantum Information Computation, vol. 14, pp. 1302–1307, 2014.
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.
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, Lee, K. S. M., and Preskill, J., “Quantum Algorithms for Fermionic Quantum Field Theories”, 2014.
S. P. Jordan, “Fast quantum algorithm for numerical gradient estimation”, Physical Review Letters, vol. 95, no. 5, 2005.
S. P. Jordan, Farhi, E., and Shor, P. W., “Error correcting codes for adiabatic quantum computation”, Physical Review A, vol. 74, no. 5, 2006.
S. P. Jordan, “Black Holes, Quantum Mechanics, and the Limits of Polynomial-time Computability”, XRDS, vol. 23, pp. 30–33, 2016.
S. P. Jordan and Farhi, E., “Perturbative Gadgets at Arbitrary Orders”, Physical Review A, vol. 77, no. 6, 2008.