Hanmeng (Harmony) Zhan

Book

Papers

Presentations

  • Average mixing in discrete quantum walks with marked vertices. In: AMS Fall Meeting, Albany, MA, USA, October 19 - 20, 2024.
  • Laplacian fractional revival on graphs. In: Math Colloquium, University of Hartford, Hartford, CT, United States, October 4, 2024.
  • Epsilon-uniform mixing on strongly regular graphs via coined quantum walks. In: 05C50 Online, University of Manitoba, Winnipeg, MB, Canada, September 13, 2024.
  • Generating quantum uniform mixing in association schemes. In: CMS Summer Meeting, University of Saskatchewan, Saskatoon, SK, Canada, May 31 - June 3, 2024.
  • Discrete quantum walks in schemes. In: AMS Sectional Meeting, University of Wisconsin-Milwaukee, Milwaukee, WI, United States, April 20 - 21, 2024.
  • Quantum walks: from continuous to discrete. In: Godsil75, University of Waterloo, Waterloo, ON, Canada, March 15 - 17, 2024.
  • Strongly cospectral vertices and their phantom mates. In: Joint Mathematics Meetings, Moscone Center, San Francisco, CA, United States, January 3 - 6, 2024.
  • Quantum search: an averaging perspective. In: Joint Mathematics Meetings, Moscone Center, San Francisco, CA, United States, January 3 - 6, 2024.
  • $\epsilon$-uniform mixing in discrete quantum walks. In: CMS Winter Meeting, DoubleTree by Hilton Montreal, Montreal, QC, Canada, December 1 - 4, 2023.
  • Spectra of line digraphs and their applications. In: CMS Winter Meeting, DoubleTree by Hilton Montreal, Montreal, QC, Canada, December 1 - 4, 2023.
  • How graph spectra determine the behavior of discrete quantum walks. In: 10th International Workshop of Quantum Simulation and Quantum Walks, Tsukuba International Congress Center, Tsukuba, Japan, November 10 - 12, 2023.
  • On the second largest eigenvalue of a tree. In: On-line Combinatorics Seminar, University of Wisconsin-Madison, Madison, WI, October 23, 2023.
  • Some recent results in quantum walks. In: Algebraic structures and special functions in theoretical physics, Ghent University, Ghent, Belgium, June 26 - 30, 2023.
  • Discrete quantum walks in association schemes. In: 10th Slovenian Conference on Graph Theory, Kranjska Gora, Slovenia, June 18 - 24, 2023.
  • Some open problems in discrete quantum walks. In: Canadian Discrete and Algorithmic Mathematics Conference, University of Manitoba and University of Winnipeg, Winnipeg, MB, Canada, June 5 - 8, 2023.
  • Discrete quantum walks on distance regular graphs. In: Canadian Discrete and Algorithmic Mathematics Conference, University of Manitoba and University of Winnipeg, Winnipeg, MB, Canada, June 5 - 8, 2023.
  • Discrete quantum walk search on graphs. In: Coast Combinatorics Conference 2023, SFU Harbour Centre, Vancouver, BC, Canada, March 4 - 5, 2023.
  • The second largest eigenvalue of a tree. In: CMS Winter Meeting, Chelsea Hotel, Toronto, ON, Canada, December 2 - 5, 2022.
  • Mini-course: Introduction to discrete quantum walks. In: CMS Winter Meeting, Chelsea Hotel, Toronto, ON, Canada, December 2 - 5, 2022.
  • The effect of marking vertices in discrete quantum walks. In: Graph Theory, Algebraic Combinatorics and Mathematical Physics, Centre de Recherches Mathématiques, July 25 - August 19, 2022.
  • The average search probability in a quantum walk with an oracle. In: Algebraic Graph Theory Seminar, University of Waterloo, Waterloo, ON, Canada, August 2, 2021.
  • Arc-reversal quantum walks. In: Discrete Math Seminar, Simon Fraser University, Vancouver, BC, Canada, February 24, 2021.
  • DRACKNs and their applications in quantum information. In: Codes and Expansions, United States, September 8, 2020.
  • Factoring discrete quantum walks into continuous quantum walks. In: Algebraic Graph Theory Seminar, University of Waterloo, Waterloo, ON, Canada, August 3, 2020.
  • Quantum fractional revival. In: Discrete Math Seminar, University of Delaware, Newark, DE, United States, April 23, 2020.
  • How far does the quantum walker go. In: 9th International Conference on Quantum Simulation and Quantum Walks, Centre International de Rencontres Mathématiques, Marseille, Bouches-du-Rhone, France, January 20 - 24, 2020.
  • New advances in quantum walks. In: AMS Joint Mathematics Meetings, Colorado Convention Center, Denver, CO, United States, January 15 - 18, 2020.
  • Discrete quantum walks on Cayley graphs. In: CMS Winter Meeting, Chelsea Hotel, Toronto, ON, Canada, December 6 - 9, 2019.
  • 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