Publications

See my Google Scholar page. Also my Scopus page.

Research Articles:

Preprints:

      1. Zero-error communication, scrambling, and ergodicity, (S. Singh, M. Rahaman, N. Datta), (2024), [arXiv link] 

 2. Generalized Stein's lemma and asymptotic equipartition property for subalgebra entropies, (Li Gao, and M. Rahaman), (2024), [arXiv Link]

 3.  Asymptotic Equipartition Theorems in von Neumann algebras,

     (O. Fawzi, L. Gao, and M. Rahaman), (2022), submitted, [arXiv Link]

    Published/ Accepted:

    20.  Completely bounded norms of k-positive maps, (G. Aubrun, K. Davidson, A. Mueller-Hermes, V. Paulsen, and M. Rahaman), Journal of the London Mathematical Society , Volume 109, Issue 6, https://doi.org/10.1112/jlms.12936 (2024), [arXiv link]

      19.   Operator algebra generalization of a theorem of Watorus and mixed unitary quantum channels,

(D. Kribs, J. Levick, R. Pereira, and M. Rahaman ), J. Phys. A: Math. Theor. (2024) https://doi.org/10.1088/1751-8121/ad2cb0, [arXiv link]

18. Positive maps and entanglement in real Hilbert spaces,

 (G. Chiribella, K. Davidson, V. Paulsen, and Mizanur Rahaman), Annales Henri Poincaré (2023), https://doi.org/10.1007/s00023-023-01325-x [arXiv link]

17. Counterexamples to the extendibility of positive unital norm-one maps, 

(G. Chiribella, K. Davidson, V. Paulsen, and Mizanur Rahaman), Linear Algebra and its Applications (2023),  https://doi.org/10.1016/j.laa.2023.01.003 [arXiv link]

16. Entanglement Breaking Rank via Complementary Channels and Multiplicative Domains, (D. Kribs, J. Levick, R. Pereira, and Mizanur Rahaman),  Operator Theory: Advances and Applications (IWOTA Lancaster 2021 Proceedings), [arXiv link]

15.  An extension of Bravyi-Smolin's construction for UMEBs, (J. Levick and M. Rahaman), Quantum Information Processing 20, 369 (2021). https://doi.org/10.1007/s11128-021-03312-9. [arXiv link]

14. Positively Factorizable Maps, (J. Levick and Mizanur Rahaman), Linear Algebra and Its Applications (2021), Volume 631, issn 0024-3795, Pages 282-307. [arXiv link]

13. Entanglement breaking channels, stochastic matrices, and primitivity, (J. Ahiable, D. Kribs, J. Levick, R. Pereira,  and M. Rahaman),  Linear Algebra and Its Applications (2021), Volume: 629, Pages: 219-231, issn-0024-3795, doi- https://doi.org/10.1016/j.laa.2021.08.013. [arXiv Link]

12. Nullspaces of entanglement breaking channels and applications, (D. Kribs, J. Levick, K. Olfert, R. Pereira and M. Rahaman), Journal of Physics A: Mathematical and Theoretical (2021), no. 10,  105303, 16 pp. [arXiv link] 

11. Bisynchronous Games and Factorizable Maps, (V. Paulsen and M. Rahaman), Annales Henri Poincaré (2021), no. 2, 593-614. [arXiv link]

10. Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy, (D. Kribs, J. Levick, M. Nelson, R. Pereira and Mizanur Rahaman), Reports on Mathematical Physics (2021),  87, 167-181 [arXiv link]

9. Entanglement breaking rank and the existence of SIC POVMs, (S. Pandey, V. Paulsen, J. Prakash and M. Rahaman), Journal of Mathematical Physics, Volume 61, 042203 (2020); doi: 10.1063/1.5045184. [arXiv link]

8. A new bound on quantum Wielandt inequality (Mizanur Rahaman), IEEE Transactions on Information Theory 66, Issue:1, Jan. 2020, 147-154. [arXiv link]

7. Quantum complementarity and operator structures, (D. Kribs, J. Levick, M.I Nelson, R. Pereira and Mizanur Rahaman), Quantum Information and Computation, Vol. 19, No. 1 and 2 (2019) 0067-0083. [arXiv link]

6. Schur multipliers and mixed unitary maps, (S. Harris, R. Levene, V. Paulsen, S. Plosker and Mizanur Rahaman), Journal of Mathematical Physics 59, 112201 (2018); doi: 10.1063/1.5066242. [arXiv link]

5. Spectral properties of tensor product of channels, (S. Jaques and M. Rahaman), Journal of Mathematical Analysis and Applications, 465 (2018), no. 2, 1134-1158. 46A32 (1581). [arXiv link]

4. Eventually entanglement breaking maps, (Mizanur Rahaman, S. Jaques and V. Paulsen), Journal of Mathematical Physics 59 (2018), no. 6, 062201, 11pp. [arXiv link]

3. Bures contractive channels on operator algebras, (D. Farenick and Mizanur Rahaman), New York Journal of Mathematics 23 (2017), 1369-1393. [arXiv link]

2. Multiplicative properties of quantum channels (Mizanur Rahaman), Journal of Physics A: Mathematical and Theoretical 50 (2017), no 34, 345302 (26pp). [arXiv link]

1. Fidelity of density operators in an operator-algebraic framework, (D. Farenick, S. Jaques and Mizanur Rahaman), Journal of Mathematical Physics 57 (2016), 102202 (15pp). [arXiv link]