Publications of Shawn Cui

(G): graduate student; (U): undergraduate student; (P): postdoc; (M): previous mentor.

1). Refereed

Post-Purdue hire:

  1. M. Ilyas (G), S. X. Cui, and M. Perkowski. “Ternary Logic Design in Topological Quantum Computing”. Journal of Physics A: Mathematical and Theoretical. vol. 55, no. 30, p. 305302, 2022. pdf

  2. B. Yan (G), P. Chen (G), and S. X. Cui. “Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras”. Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 18, p. 185201, 2022. pdf

  3. S. X. Cui, P. Gustafson, Y. Qiu, and Q. Zhang (P). “From Torus Bundles to Particle-Hole Equivariantization”. Letters in Mathematical Physics 112, 15 (2022). pdf

  4. R. Selvarajan (G), V. Dixit, X. Cui, T. S. Humble, and S. Kais. “Prime factorization using quantum variational imaginary time evolution”. Scientific reports 11.1 (2021), pp. 1-8. pdf

  5. S. X. Cui, D. Ding, X. Han, G. Penington, D. Ranard, B. C. Rayhaun, and Z. Shangnan. “Kitaev′s quantum double model as an error correcting code”. Quantum 4 (2020), p. 331. pdf

  6. S. X. Cui, K. T. Tian, J. F. Vasquez, Z. Wang (M), and H. M. Wong. “The search for leakage-free entangling Fibonacci braiding gates”. Journal of Physics A: Mathematical and Theoretical 52.45 (2019), p. 455301. pdf

  7. S. X. Cui, M. S. Zini, and Z. Wang (M). “On generalized symmetries and structure of modular categories”. Science China Mathematics 62.3 (2019), pp. 417-446. pdf

  8. S. X. Cui, P. Hayden (M), T. He, M. Headrick, B. Stoica, and M. Walter. “Bit threads and holographic monogamy”. Communications in Mathematical Physics (2019), pp. 1-40. pdf

  9. L. Chang and S. X. Cui. “On two invariants of three manifolds from Hopf algebras”. Advances in Mathematics 351 (2019), pp. 621-652. pdf

  10. S. X. Cui. “Four dimensional topological quantum field theories from G-crossed braided categories”. Quantum Topology 10.4 (2019), pp. 593-676. pdf

Pre-Purdue hire:

  1. Z. Wang (M) and S. X. Cui. “State sum invariants of three manifolds from spherical multi-fusion categories”. Journal of Knot Theory and Its Ramifications, vol. 26, no. 14, pp. 1750104, 2017. pdf

  2. S. X. Cui, D. Gottesman, and A. Krishna. “Diagonal gates in the Clifford hierarchy”. Physical Review A, vol. 95, no. 1, p. 012329, 2017. pdf

  3. A. Bocharov, S. X. Cui, M. Roetteler, and K. M. Svore. “Improved quantum ternary arithmetics”. Quantum Information and Computation, vol. 16, no. 9 \& 10, 2016. pdf

  4. S. X. Cui, C. Galindo, J. Plavnik, and Z. Wang (M). “On gauging symmetry of modular categories”. Communications in Mathematical Physics, vol. 348, no. 3, pp. 1043-1064, 2016. pdf

  5. S. X. Cui, M. H. Freedman, O. Sattath, R. Stong, and G. Minton. “Quantum max-flow/min-cut”. Journal of Mathematical Physics, vol. 57, p. 062206, 2016. pdf

  6. A. Bocharov, S. X. Cui, V. Kliuchnikov, and Z. Wang (M). “Efficient topological compilation for weakly-integral anyon model”. Physical Review A, vol. 93, no. 1, p. 012313, 2016. pdf

  7. S. X. Cui, M. H. Freedman, and Z. Wang (M). “Complexity classes as mathematical axioms II”. Quantum Topology, vol. 7, no. 1, pp. 185-201, 2016. pdf

  8. S. X. Cui, N. Yu, and B. Zeng. “Generalized graph states based on Hadamard matrices”. Journal of Mathematical Physics, vol. 56, no. 3, p. 072201, 2015. pdf

  9. L. Chang, M. Cheng, S. X. Cui, Y. Hu, W. Jin, R. Movassagh, P. Naaijkens, Z. Wang (M), and A. Young. “On enriching the Levin-Wen model with symmetry”. Journal of Physics A: Mathematical and Theoretical, vol. 48, no. 12, p. 12FT01, 2015. pdf

  10. S. X. Cui and Z. Wang (M). “Framed cord algebra invariant of knots in $S^1\times S^2$”. Journal of Knot Theory and Its Ramifications, vol. 24, no. 14, p. 1550067, 2015. pdf

  11. S. X. Cui and Z. Wang (M). “Universal quantum computation with metaplectic anyons”. Journal of Mathematical Physics, vol. 56, no. 3, p. 032202, 2015. pdf

  12. S. X. Cui, S. M. Hong, and Z. Wang (M). “Universal quantum computation with weakly integral anyons”. Quantum Information Processing, vol. 14, no. 8, pp. 2687-2727, 2015. pdf

Published conference articles

2). In-press journal articles (post-Purdue)

  1. S. X. Cui, Y. Qiu, and Z. Wang (M). “From Three Dimensional Manifolds to Modular Tensor Categories”. To appear in Communications in Mathematical Physics, 2022. arXiv: 2101.01674. pdf

  2. C. Griffin (U) and S. X. Cui. “Constructing Approximately Diagonal Unitary Gates”. To appear in International Journal of Quantum Information, 2022. arXiv:2109.05138. pdf

  3. J. Chaidez, J. Cotler, and S. X. Cui. “4-Manifold Invariants From Hopf Algebras”. To appear in Algebraic \& Geometric Topology, 2021. arXiv:1910.14662. pdf

3). Submitted (post-Purdue)

  1. P. Chen (G), B. Yan (G), and S. X. Cui. “Quantum circuits for toric code and X-cube fracton model”(2022). arXiv:2210.01682, pdf