Publications of Shawn Cui
(G): graduate student; (U): undergraduate student; (P): postdoc; (M): previous mentor.
1).
Refereed
Post-Purdue hire:
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- L. Chang and S. X. Cui. “On two invariants of three manifolds from Hopf algebras”. Advances in Mathematics 351 (2019), pp. 621-652. pdf
- 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:
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- S. X. Cui, Z. Ji, N. Yu, and B. Zeng. “Quantum capacities for entanglement networks”. IEEE International Symposium on Information Theory (ISIT), 2016. pdf
2). In-press journal articles (post-Purdue)
- 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
- 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
- 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)
- 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