References
- Atserias, A., Mančinska, L., Roberson, D. E., Šámal, R., Severini, S., Varvitsiotis, A. (2019). Quantum and non-signalling graph isomorphisms. J. Comb. Theory. Ser. B. 136: 289–328. doi:10.1016/j.jctb.2018.11.002
- Banica, T. (2005). Quantum automorphism groups of homogeneous graphs. J. Funct. Anal., 224(2): 243–280.
- Banica, T., Bichon, J. Quantum automorphism groups of vertex-transitive graphs of order ≤11 . J. Algebraic Combin. 26(1): 83–105, 2007.
- Banica, T., Bichon, J., Collins, B. (2007). The hyperoctahedral quantum group. J. Ramanujan Math. Soc. 22: 345–384.
- Brannan, M., Chirvasitu, A., Freslon, A. Topological generation and matrix models for quantum reflection groups. arXiv preprint arXiv:1808.08611, 2018.
- Bhatia, R. (1997). Matrix Analysis, Vol. 169. New York: Springer Science & Business Media.
- Bichon, J. (2003). Quantum automorphism groups of finite graphs. Proc. Am. Math. Soc. 131(3): 665–673.
- Banica, T., Nechita, I. (2017). Flat matrix models for quantum permutation groups. Adv. Appl. Math. 83: 24–46. doi:10.1016/j.aam.2016.09.001
- Benoist, T., Nechita, I. (2017). On bipartite unitary matrices generating subalgebra-preserving quantum operations. Linear Algebra Its Appl., 521:70–103. doi:10.1016/j.laa.2017.01.020
- Gauyacq, G. (1997). On quasi-Cayley graphs. Discret. Appl. Math. 77(1): 43–58.
- Lupini, M., Mančinska, L., Roberson, D. E. (2020). Nonlocal games and quantum permutation groups. J. Funct. Anal., page 108592. doi:10.1016/j.jfa.2020.108592
- Mančinska, L., Roberson, D. E. (2019). Quantum isomorphism is equivalent to equality of homomorphism counts from planar graphs. arXiv:1910.06958.
- Neshveyev, S., Tuset, L. (2013). Compact Quantum Groups and Their Representation Categories, Vol. 20. Citeseer.
- Paulsen, V., Rahaman, M. (2019). Bisynchronous games and factorizable maps. arXiv:1908.03842.
- Schmidt, S. (2018). The Petersen graph has no quantum symmetry. Bullet. London Math. Soc. 50(3): 395–400.
- Schmidt, S. (2018). Quantum automorphisms of folded cube graphs. to appear in Annales de l’Institut Fourier. arXiv:1810.11284
- Schmidt, S. On the quantum symmetry of distance-transitive graphs. arXiv preprint:1906.06537, 2019.
- Sinkhorn, R. A relationship between arbitrary positive matrices and doubly stochastic matrices. Ann. Math. Stat. 35(2): 876–879, 1964. doi:10.1214/aoms/1177703591
- Sinkhorn, R., Knopp, P. (1967). Concerning nonnegative matrices and doubly stochastic matrices. Pacific J. Math. 21(2): 343–348.
- Schmidt, S., Vogeli, C., Weber, M. (2019). Uniformly vertex-transitive graphs. arXiv:1912.00060.
- Schmidt, S., Weber, M. (2018). Quantum symmetries of graph C*-algebras. Canad. Math. Bull. 61(4): 848–864.
- Timmermann, T. (2008). An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and Beyond, Vol. 5. Zürich: European Mathematical Society.
- Wang, S. (1998). Quantum symmetry groups of finite spaces. Commun. Math. Phys. 195(1): 195–211.
- Weber, M. (2017). Introduction to compact (matrix) quantum groups and Banica–Speicher (easy) quantum groups. Indian Acad. Sci. Proc. Math. Sci. 127(5): 881–933.
- Woronowicz, S. L. (1987). Compact matrix pseudogroups. Commun. Math. Phys. 111(4): 613–665.