Research

Papers and preprints

1. Twisted simplicial distributions with Walker Stern, preprint (2024)

2. The operadic theory of convexity with Redi Haderi, Walker Stern, preprint (2024)

3. On the rank of two-dimensional simplicial distributions preprint (2023)

4. The degenerate vertices of the 2-qubit Λ-polytope and their update rules with Selman Ipek, preprint (2023)

5. Homotopical characterization of strongly contextual simplicial distributions on cone spaces with Aziz Kharoof, preprint (2023)

6. Equivariant simplicial distributions and quantum contextuality with Igor Sikora, preprint (2023)

7. A bundle perspective on contextuality: Empirical models and simplicial distributions on bundle scenarios with Rui Soares Barbosa, Aziz Kharoof, preprint (2023)

8. Topological methods for studying contextuality: N-cycle scenarios and beyond with Aziz Kharoof, Selman Ipek, Entropy 25, 1127 (2023)

9. Simulating quantum computation with magic states: how many "bits" for "it"? with Michael Zurel, Robert Raussendorf, preprint (2023)

10. Simplicial techniques for operator solutions of linear constraint systems with Ho Yiu Chung, Igor Sikora, preprint (2023)

11. Simplicial quantum contextuality with Aziz Kharoof, Selman Ipek, Quantum 7, 1009 (2023) YouTube (Turkce) YouTube (ACT 2022)

12. The role of cohomology in quantum computation with magic states with Robert Raussendorf, Michael Zurel, Polina Feldmann, Quantum 7, 979 (2023)

13. Simplicial distributions, convex categories and contextuality with Aziz Kharoof, preprint (2022)

14. Mermin polytopes in quantum computation and foundations with Ho Yiu Chung, Selman Ipek, Quantum Information and Computation Vol.23 No.9&10, 733-782 (2023)

15. No state-independent contextuality can be extracted from contextual measurement-based quantum computation with qudits of odd prime dimension with Markus Frembs, Ho Yiu Chung, preprint (2022)

16. Hidden Variable Model for Quantum Computation with Magic States on Any Number of Qudits of Any Dimension with Michael Zurel, Robert Raussendorf, Arne Heimendahl, preprint (2021)

17. On the extremal points of the Lambda-polytopes and classical simulation of quantum computation with magic states with Michael Zurel, Robert Raussendorf, Quantum Information and Computation Vol.21 No.13&14, 1533-7146 (2021)

18. Commutative d-Torsion K-Theory and Its Applications, J. Math. Phys. 62, 102201 (2021) YouTube, Slides

19. Classifying space for quantum contextuality with Daniel Sheinbaum, Ann. Henri Poincaré 22, 529–562 (2021)

20. Homotopical approach to quantum contextuality with Robert Raussendorf, Quantum 4, 217 (2020)

21. A hidden variable model for universal quantum computation with magic states on qubits with Michael Zurel, Robert Raussendorf, Phys. Rev. Lett. 125, 260404 (2020) YouTube 1, YouTube 2

22. Phase space simulation method for quantum computation with magic states on qubits with Robert Raussendorf, Juani Bermejo-Vega, Emily Tyhurst, Michael Zurel, Phys. Rev. A 101, 012350 (2020)

23. Quasi-exact quantum computation with Dong-Sheng Wang, Guanyu Zhu, Raymond Laflamme, Phys. Rev. Research 2, 033116 (2020)

24. Commutative simplicial bundles, with Pal Zsamboki, preprint (2020) YouTube

25. On the mod-l homology of the classifying space for commutativity, with Ben Williams, Algebraic & Geometric Topology 20-2 883–923 (2020)

26. A computationally universal phase of quantum matter with Robert Raussendorf, Dong-Sheng Wang, David T. Stephen, Hendrik Poulsen Nautrup, Phys. Rev. Lett. 122, 090501 (2019)

27. Dimension functions for spherical fibrations, with Ergun Yalcin, Algebraic & Geometric Topology 18 3907-3941 (2018)

28. Spherical posets from commuting elements, Journal of Group Theory, ISSN 1433-5883 (2018)

29. The cohomological and the resource-theoretic perspective on quantum contextuality: common ground through the contextual fraction with Emily Tyhurst, Robert Raussendorf, Quantum Information and Computation 18, 1272-1294 (2018)

30. Topological proofs of contextuality in quantum mechanics with Sam Roberts, Stephen D. Bartlett, Robert Raussendorf, Quantum Information and Computation 17, 1135-1166 (2017)

31. Equivalence between contextuality and negativity of the Wigner function for qudits with Nicolas Delfosse, Juan Bermejo-Vega, Dan E. Browne, Robert Raussendorf, New Journal of Physics 19.12 (2017)

32. Contextuality as a resource for models of quantum computation on qubits with Juan Bermejo-Vega, Nicolas Delfosse, Dan E. Browne, Robert Raussendorf, Phys. Rev. Lett. 119, 120505 (2017)

33. Contextuality and Wigner function negativity in qubit quantum computation with Robert Raussendorf, Dan E. Browne, Nicolas Delfosse, Juan Bermejo-Vega, Phys. Rev. A 95, 052334 (2017)

34. Colimits of abelian groups, Journal of Algebra, pp. 1-12 (2015)

35. Homotopy colimits of classifying spaces of abelian subgroups of a finite group Algebraic & Geometric Topology 14 2223-2257 (2014)