Bilkent Quantum Computing and Topology
Cihan Okay - Papers & Preprints

back

Topology of quantum resources

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

• Mermin polytopes in quantum computation and foundations with Ho Yiu Chung, Selman Ipek, preprint (2022)

• 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)

• Simplicial quantum contextuality with Aziz Kharoof, Selman Ipek, preprint (2022) YouTube (Turkce) YouTube (ACT 2022)

• The role of cohomology in quantum computation with magic states with Robert Raussendorf, Michael Zurel, Polina Feldmann, preprint (2021)

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

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

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

• 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)

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

Quantum computation

• 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)

• 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)

• 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

• 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)

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

• 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)

• 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)

• 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)

• 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)

Classifying space for commutativity

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

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

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

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

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

Group actions on spheres

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