Publications and Preprints

1. Poulin's stabilizer formalism for operator quantum error correction and noncommutative graphs (with Jihong Cai, Tushar Mohan, Dheeran Wiggins, and Yefei Zhang) To be submitted.

2. Quantum expected length: a lower bound framework for gate count (with Advith Govindarajan, Marius Junge and Peixue Wu) To be submitted.

3. Asymptotic tensor powers of operator spaces (with Alexander Müller-Hermes) (2025) To be submitted.

4. Nonsignalling value of quantum games -- an operator algebra perspective (with Marius Junge and Carlos Palazuelos) To be submitted.

5. On matricial order operator spaces (wtih Timur Oikhberg) (2026) arXiv: 2605.21982

6. Transportation cost and contraction coefficient for channels on von Neumann algebras (with Marius Junge and Peixue Wu) (2025) arXiv:2506.04197. Submitted

7. On a question of Blecher, Pisier, Shlyakhtenko (with Marius Junge and Carlos Palazuelos) (2024) arXiv:2406.05302. Submitted

8. A note on the stabilizer formalism via noncommutative graphs (with Jihong Cai, Yushan Chen, Abraham Holtermann, Chieh Hsu, Tushar Mohan, Peixue Wu and Zeyuan Yu) (2023) arXiv: 2310.00762. Published: Quantum Information Processing. DOI: 10.1007/s11128-024-04291-3 (2024)

9. Resource dependent complexity of quantum channels (with Yidong Chen, Marius Junge, and Peixue Wu) (2023) arXiv:2303.11304v2. Published: Quantum, Quantum 10 1960 (2026)

10. Lipschitz complexity (with Yidong Chen, Marius Junge, and Peixue Wu) (2023) arXiv:2303.11304v3 Accepted Lecture: Beyond IID 11, University of Tübingen, Germany,  2023. 

11. Operator systems generated by projections (with Travis Russell) (2023) arXiv:2302.12951. To Appear: International Mathematics Research Notices (IMRN)

12. An index for inclusions of operator systems (with Colton Griffin and Thomas Sinclair) (2022) arXiv:2203.05710. Published: Journal of Operator Theory, Volume 91 (2024), 101-127

13. Approximating projections by quantum operations (with Colton Griffin, Aneesh Khilnani,  and Thomas Sinclair) (2022) arXiv:2203.02627. Published: Linear Algebra and Its Applications. Volume 663 (2023), 179-199

14. Matricial Archimedean order unit spaces and quantum correlations (with Travis Russell and Mark Tomforde). (2021) arXiv:2109.11671. Published: Indiana University Mathematics Journal, Volume 72, no. 6, (2023), 2567-2591

15. A universal representation for quantum commuting correlations  (with Travis Russell and Mark Tomforde). (2021) arXiv:2102.05827.  Published: Annales Henri Poincaré. Volume 23 (2022), 4489-4520. DOI: 10.1007/s00023-022-01197-7

16. An abstract characterization for projections in operator systems (with Travis Russell). (2020) arXiv:2006.03094. Published: Journal of Operator Theory. Volume 90 (2023), 41-72

17. R we living in the matrix? (with Rolando de Santiago). Published: Notices of the American Mathematical Society. Volume 66, Number 8, (2019), Pgs. 1216-1224.