Dr. Ho Minh Toan

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Scientific CV

Scientific Publications

Publications19

1. 1 Ho Minh Toan, Tran Manh Cuong, Vu The Khoi, Some remarks on quantum speed limit for n-dimensional systems, Quantum Information Processing, Volume 25, article number 64, (2026) (2026)
2. 2 Le Cong Trinh, Vu The Khoi, Ho Minh Toan, Dinh Trung Hoa, Optimization of some types of R´enyi divergences between unitary orbits, Linear and Multilinear Algebra, Volume 73, 2025 - Issue 3, Pages 536-546 (2025)
3. 3 Du Thu Trang, Ho Minh Toan, Hoang Phi Dung, Representation of positive polynomials on a generalized strip and its application to polynomial optimization, Optimization Letters 18 (2024), no. 7, 1727–1746 (2024)
4. 4 Ho Minh Toan, Vu The Khoi, Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22 (2023) 790-799 (2023)
5. 5 Vu The Khoi, Ho Minh Toan, Le Cong Trinh, Dinh Trung Hoa, Optimization of quantum divergences between unitary orbits, Quantum Information Processing, 22 (2023), 18 pages (2023)
6. 6 Vu The Khoi, Ho Minh Toan, Metric properties of alternative fidelities, Quantum Information and Computation 22, No. 9&10 (2022) 790 - 799 (2022)
7. 7 Vu The Khoi, Ho Minh Toan, On the surjectivity of certain word maps on SU(2), Journal of Algebra and Its Applications 21 (2022), 2250037 (2022)
8. 8 Du Thu Trang, Ho Minh Toan, Nguyen Thi Hong, Algebra of Polynomials Bounded on a Semi-algebraic Set $[k\leq r]$, Acta Mathematica Vietnamica volume 46, pages 821–838 (2021) (2021)
9. 9 Ho Minh Toan, Le Cong Trinh, Positivstellensätze for polynomial matrices, Positivity volume 25 (2021), pages 1295–1312, (2021)
10. 10 Dinh Trung Hoa, Ho Minh Toan, Le Cong Trinh, Vo Bich Khue, Two trace inequalities for operator functions, Mathematical Inequalities and Applications, 22 (2019), 1021-1026 (2019)
11. 11 Dinh Trung Hoa, Ho Minh Toan, Pham Tien Son, A Note on Nondegenerate Matrix Polynomials, Acta Mathematica Vietnamica, 43 (2018), 761–778 (2018)
12. 12 Ha Huy Vui, Ho Minh Toan, Positive polynomials on nondegenerate basic semi-algebraic sets,, Advances in Geometry, 16 (2016), 497-510 (2016)
13. 13 Dinh Trung Hoa, Du Thi Hoa Binh, Ho Minh Toan, On some matrix mean inequalities with Kantorovich constant, Scientiae Mathematicae Japonicae (2015) (In Editione Electronica). (2015)
14. 14 Ho Minh Toan, Dinh Trung Hoa, Hiroyuki Osaka, Interpolation classes and matrix means, Banach Journal of Mathematical Analysis, 9 (2015), 140-152 (2015)
15. 15 Dinh Trung Hoa, Ho Minh Toan, Hiroyuki Osaka, Matrix means of finite orders, RIMS Kokyuroku, 1893 (2014), 57-66 (2014)
16. 16 Dinh Trung Hoa, Du Thi Hoa Binh, Ho Minh Toan, On some inequalities with matrix means, RIMS Kokyuroku, 1893 (2014), 67-71. (2014)
17. 17 Dinh Trung Hoa, Ho Minh Toan, Hiroyuki Osaka, The linear span of projections in AH algebras and for inclusions of C∗-algebras., Abstract and Applied Analysis 2013, Art. ID 204319, 12 pp (2013)
18. 18 Dinh Trung Hoa, Hiroyuki Osaka, Ho Minh Toan, On generalized powers-stormer’s inequality, Linear Algebra and Its Application, 438 (2013), 242 -- 249 (2013)
19. 19 Andrew J. Dean, Ho Minh Toan, Classification of certain inductive limit type actions on approximate interval algebras, Journal of the Ramanujan Mathematical Society 25 (2010), 329 -- 343 (2010)

Preprints2

1. 1 IMH20260901, Dinh Trung Hoa, Du Thu Trang, Ho Minh Toan, Nguyen Ha Trang, Slice Geometry, Fox Linearization, and Surjectivity of Commutator-Type Word Maps (2026)
2. 2 IMH20260401, Ho Minh Toan, Le Thanh Hieu, Le Cong Trinh, Hiroyuki Osaka, Some applications of choi polynomials of linear maps (2026)

Scientific Activities

Seminar5

1. Homogeneous polynomials: Positivity and SOS (II)
2. Homogeneous polynomials: Positivity and SOS
3. Fréchet Derivatives on the Manifold of Positive Definite Matrices
4. Some remark on quantum divergence
5. Optimization of some fidelities between unitary orbits