#### Publications

- An Infinite Family of Circulant Graphs with Perfect State Transfer in Discrete Quantum Walks H. Zhan, accetped to
- Perfect State Transfer in a Spin Chain without Mirror Symmetry G. Coutinho, L. Vinet, H. Zhan, A. Zhedanov.
- Discrete-Time Quantum Walks and Graph Structures C. Godsil and H. Zhan.
- Quantum Fractional Revival on Graphs A. Chan, G. Coutinho, C. Tamon, L. Vinet, H. Zhan.
- A New Perspective on the Average Mixing Matrix G. Coutinho, C. Godsil, K. Guo, H. Zhan.
- Uniform Mixing on Cayley Graphs C. Godsil and H. Zhan.
- Equiangular Lines and Covers of the Complete Graph G. Coutinho, C. Godsil, M. Shirazi, and H. Zhan.
- Perfect State Transfer in Laplacian Quantum Walk R. Alvir, S. Dever, B Lovitz, J. Myer, C. Tamon, Y. Xu and H. Zhan.

*Quantum Information Processing*.

*Journal of Physics A: Mathematical and Theoretical 52*(2019), 455302.

*Journal of Combinatorial Theory, Series A*(2019), 181–212.

*Discrete Applied Mathematics*(2019).

*Electronic Journal of Combinatorics*(2018) 25(4): P4.14.

*Electronic Journal of Combinatorics*(2017) 24(3): P3.20.

*Linear Algebra and its Applications*(2016) 488: 264-283.

*Journal of Algebraic Combinatorics*(2016) 43(4): 801-826.

#### Preprints

- Fractional revival and association schemes A. Chan, G. Coutinho, C. Tamon, L. Vinet, H. Zhan. Submitted.
- Perfect state transfer on weighted graphs of the Johnson scheme L. Vinet, H. Zhan. Submitted.
- Quantum Walks on Embeddings H. Zhan. Submitted.

#### Presentations

- State transfer via orthogonal polynomials. In: AMS Sectional Meeting, University of Wisconsin-Madison, Madison, WI, United States, September 14 - 15, 2019
- The vertex face walk. In: Finite Geometry and Extremal Combinatorics, University of Delaware, Newark, DE, United States, August 21 - 24, 2019
- Quantum state transfer in the algebra of the Johnson scheme. In : CMS Summer Meeting, University of Regina, Regina, SK, Canada, Jun 7 - 10, 2019
- Some elegant results in algebraic graph theory. In: Canadian Discrete and Algorithmic Mathematics Conference, Simon Frase University, Vancouver, BC, Canada, May 28 - 31, 2019.
- Quantum walks, orthogonal polynomials, and spectral graph theory. In: Quantum Walks and Information Tasks, Banff International Research Station for Mathematical Innovation and Discovery, Banff, AB, Canada, April 21 - 26, 2019.
- Generating Entanglement Using Quantum Walks. In: David A. Walsh Seminar Series, Clarkson University, Potsdam, NY, United States, February 8, 2019.
- Combinatorial Aspects of Quantum walks. In: Prairie Discrete Math Workshop, Brandon University, Brandon, MB, Canada, June 12 – 15, 2018.
- Some Open Problems in Discrete Quantum Walks. In: Algebraic Graph Theory and Quantum Walks, University of Waterloo, Waterloo, ON, Canada, April 23 - 27, 2018.
- Recent Progress in Discrete Quantum Walks. In AMS Sectional Meeting, Northeastern University, Boston, MA, United States, April 21 - 22, 2018, 2018.
- Graph covers and equiangular frames. In AMS Sectional Meeting, Ohio State University, Columbus, OH, United States, March 16 - 18, 2018.
- Discrete-Time Quantum Walks and Graph Embeddings. In: CMS Winter Meeting, University of Waterloo, Waterloo, ON, Canada, December 8 - 11, 2017.
- Quantum Walks and Mixing. In: Algebraic and Extremal Graph Theory, University of Delaware, Newark, DE, United States, August 7 - 10, 2017.
- Discrete-Time Quantum Walks and Graph Structures. In: Canadian Discrete and Algorithmic Mathematics Conference, Ryerson University, Toronto, ON, Canada, June 12 - 15, 2017.
- From Covers to Tight Frames. In: AMS Sectional Meeting, College of Charleston, Charleston, SC, United States, March 10 - 12, 2017.
- Spectra of Discrete Quantum Walks. In: CMS Summer Meeting, University of Alberta, Edmonton, AB, Canada, June 24 - 27, 2016.
- Lines and Covers of Complete Graphs 2. In: Systems of Lines: Applications of Algebraic Combinatorics, Worcester Polytechnic Institute, Worcester, MA, United States, August 10 - 14, 2015.
- Uniform Mixing in Continuous-Time Quantum Walks. In: Summer Combo, Saint Michael's College, Burlington, VT, United States, July 21, 2015.
- Some Open Problems in Uniform Mixing. In: Summer Research Program, Clarkson University, Potsdam, NY, United States, July 20, 2015.
- Uniform Mixing in Quantum Walks. In: 22nd Ontario Combinatorics Workshop, York University, Toronto, ON, Canada, May 16 - 17, 2014.

#### Theses

- Discrete Quantum Walks on Graphs and Digraphs Ph.D. thesis.
- Uniform Mixing on Cayley Graphs over $\mathbb{Z}_3^d$ Master's thesis.