Research Interests
Research Interests
Algebraic graph theory, combinatorial matrix analysis and their applications to quantum information and computation. More specific areas include continuous-time quantum walks, graph spectra, graphs with well-structured eigenbases, inverse eigenvalue problems for graphs, and matrix decomposition problems.
H. Monterde, On proper and balanced fractional revival, submitted.
S. Kirkland, S. Mohapatra, H. Monterde, and H. Pal, Perfect pair and plus state transfer on finite graphs and bounded infinite graphs, submitted.
H. Monterde, New results on vertex sedentariness, submitted.
H. Monterde, H. Pal and S. Kirkland, Laplacian quantum walks on blow-up graphs, accepted pending minor revisions in Linear Algebra and its Applications.
S. Kirkland and H. Monterde, Quantum walks on join graphs, accepted pending minor revisions in Discrete Mathematics.
D. McLaren, H. Monterde, and S. Plosker, Weakly Hadamard diagonalizable graphs and quantum state transfer, to appear in Linear and Multilinear Algebra. [arXiv]
C. Godsil, S. Kirkland and H. Monterde, Perfect state transfer between real pure states, SIAM Journal on Matrix Analysis and Applications, 46 (3) (2025). [arXiv]
S. Kim, H. Monterde, B. Ahmadi, A. Chan, S. Kirkland, and S. Plosker, A generalization of quantum pair state transfer, Quantum Information Processing 23, 369 (2024). [arXiv]
B. Bhattacharjya, H. Monterde, and H. Pal, Quantum walks on blow-up graphs, Journal of Physics A: Mathematical and Theoretical, 57 (33), 335303 (2024). [arXiv]
S. Kirkland, Monterde, H. and S. Plosker, Quantum state transfer between twins in weighted graphs, Journal of Algebraic Combinatorics 58, 623–649 (2023). [arXiv]
H. Monterde, Fractional revival between twin vertices, Linear Algebra and its Applications 676, 25-43 (2023). [arXiv]
H. Monterde, Sedentariness in quantum walks, Quantum Information Processing 22, 273 (2023). [arXiv]
H. Monterde, Strong cospectrality and twin vertices in weighted graphs, The Electronic Journal of Linear Algebra 38, 494-518 (2022). [arXiv]
H. Monterde, and A. Paras, On the sum of strictly k-zero matrices, Science Diliman 29: 1, 37-52 (2017).
Quantum pure state transfer, PhD Dissertation, UManitoba, 2025
Quantum state transfer between twins in graphs, MSc Thesis, UManitoba, 2021
On the sum of strictly k-zero matrices, MSc Thesis, UP Diliman, 2015
interested to collaborate on a project
interested to organize a conference / minisymposium / EDI event
interested to invite me to speak in your conference / colloquium / seminar / minisymposium / EDI event
Bahman Ahmadi - Bikash Bhattacharjya - Ada Chan - Chris Godsil - Hiranmoy Pal - Sooyeong Kim - Stephen Kirkland - Darian McLaren - Sarojini Mohapatra - Agnes Paras - Sarah Plosker