Research
Research
26. Complete order and relative entropy decay rates. (with Marius Junge, Nicholas LaRacuente, Haojian Li).
Forum of Mathematics, Sigma, accepted. [arXiv]
25. Quantum Broadcast Channel Simulation via Multipartite Convex Splitting. (with Mario Berta and Hao-Chung Chen). Communications in Mathematical Physics, accepted. [arXiv]
24. Sufficient statistic and recoverability via Quantum Fisher Information metrics. (with Haojian Li, Iman Marvian and Cambyse Rouze). Communications in Mathematical Physics, 405(8), p.180. [arXiv]
23. Entropy Uncertainty Relations and Strong Sub-additivity of Quantum Channels. (with Marius Junge, Nicholas LaRacuente).
Scientia Sinica Mathematica, 53(12), pp.1631-1652. (The special issue of Prof. Peide Liu's 80th birthday). English version at [arXiv]
22. Complete Modified Logarithmic Sobolev inequality for sub-Laplacian on SU(2), (with Maria Gordina).
Journal of Functional Analysis, accepted. [arXiv]
21. Optimal Second-Order Rates for Quantum Soft Covering and Privacy Amplification , (with Yu-chen Shen and Hao-Chung Cheng).
IEEE Transactions on Information Theory (2024). [arXiv]
20. Entropy decay for Davies semigroups of a one dimensional quantum lattice, (with Ivan Bardet, Ángela Capel, Angelo Lucia, David Pérez-García and Cambyse Rouzé).
Communications in Mathematical Physics, 405(2), p.42. [arXiv]
19. Ricci curvature of quantum channels on non-commutative transportation metric spaces, (with Cambyse Rouzé).
Journal of Functional Analysis, accepted. [arXiv]
18. Error Exponent and Strong Converse for Quantum Soft Covering, (with Hao-Chung Cheng).
IEEE Transactions on Information Theory (2023). [arXiv]
17. Rapid thermalization of spin chain commuting Hamiltonians, (with Ivan Bardet, Ángela Capel, Angelo Lucia, David Pérez-García and Cambyse Rouzé). Physics Review Letters, 130(6), p.060401. [arXiv]
16. On a tracial version of Haemers bound, (with Sander Gribling and Yinan Li).
IEEE Transactions on Information Theory (2022), 68(10), pp.6585-6604.. [arXiv, journal]
15. Complete entropic inequalities for quantum Markov chains, (with Cambyse Rouzé).
Archive for Rational Mechanics and Analysis, 245(1), pp.183-238. [arXiv, journal]
14. Properties of Noncommutative Renyi and Augustin Information, (with Hao-Chung Cheng and Min-Hsiu Hsieh).
Communications in Mathematical Physics, 390(2), 501-544. [arXiv, journal]
13. Complete Log-Sobolev inequality via Ricci curvature bounded below II, (with Michael Brannan and Marius Junge).
Journal of Topology and Analysis, 1-54. [arXiv, journal]
12. Complete Log-Sobolev inequality via Ricci curvature bounded below, (with Michael Brannan and Marius Junge).
Advances in Mathematics, 394, 108129. [arXiv, journal]
11. Recoverability for optimized quantum f-divergences, (with Mark M. Wilde).
Journal of Physics A: Mathematical and Theoretical, 54 (38), 385302. [arXiv, journal]
10. Fisher Information and Logarithmic Sobolev Inequality for Matrix Valued Functions, (with Marius Junge and Nicholas LaRacuente).
Annales Henri Poincare, 21 (11), 3409-3478. [arXiv, journal]
9. Quantum Euclidean Spaces with Noncommutative Derivatives, (with Marius Junge and Edward McDonald).
Journal of Noncommutative Geometry. To appear. [arXiv, journal]
8. Relative Entropy for von Neumann Subalgebra, (with Marius Junge and Nicholas LaRacuente).
International Journal of Mathematics, 279 (7), 2050046, 2020. [arXiv, journal]
7. Quantum Majorization on Semifinite von Neumann algebras, (with Priyanga Ganesan, Satish K. Pandey and Sarah Plosker).
Journal of Functional Analysis, page 108650, 2020. [arXiv, journal]
6. Uncertainty Principle of Quantum Channels, (with Marius Junge and Nicholas LaRacuente).
In 2018 IEEE International Symposium on Information Theory (ISIT) (pp. 996-1000). [Link]
5. Quantum Teleportation and Super-dense Coding in Operator Algebras, (with Samuel J. Harris and Marius Junge).
International Mathematics Research Notices. rnz095. [arXiv, journal]
4. Capacity Bounds via Operator Space Methods, (with Marius Junge and Nicholas LaRacuente).
Journal of Mathematical Physics, 59, 122202 (2018). [arXiv, journal]
3. Capacity Estimates via Comparison to TRO Channels, (with Marius Junge and Nicholas LaRacuente).
Communications in Mathematical Physics, (2018) 364: 83. [arXiv, journal]
2. Holevo Superadditivity Bounds for Heralded Channels, (with Marius Junge and Nicholas LaRacuente).
Journal of Mathematical Physics, 59, 062203 (2018). [arXiv, journal]
Continuous perturbations of noncommutative Euclidean spaces and tori.
Journal of Operator Theory, Volume 79, Issue 1, Winter 2018 pp. 173-200. [arXiv, journal]
10. Reverse-type Data Processing Inequality, (with Paula Belzig, Graeme Smith, and Peixue Wu). [arXiv]
9. Resolvability of classical-quantum channels, (with Masahito Hayashi and Hao-Chung Cheng). [arXiv]
8. Joint State-Channel Decoupling and One-Shot Quantum Coding Theorem, (with hao-Chung Cheng and Frédéric Dupuis). [arXiv]
7. Generalized Stein's lemma and asymptotic equipartition property for subalgebra entropies (with Mizanur Rahaman). [arXiv]
6. Optimal Second-Order Rates for Quantum Information Decoupling (with Yu-chen Shen and Hao-Chung Cheng). [arXiv]
5. Geometric influences on quantum Boolean cubes (with David Blecher and Bang Xu). [arXiv]
4. On Strong Converse Theorems for Quantum Hypothesis Testing and Channel Coding (with Hao-Chung Cheng) (Not for publishing)
3. Privacy Amplification Against Quantum Side Information Via Regular Random Binning (with Yu-chen Shen and Hao-Chung Cheng) [arXiv]
2. Asymptotic Equipartition Theorems in von Neumann algebras (with Omar Fawzi and Mizanur Rahaman). [arXiv]
1. Sample optimal tomography of quantum Markov chains. (with Nengkun Yu). [arXiv].