Papers

• (with P.-A. Bernard, L. Vinet, W. Xie) Quantum State Transfer in Graphs with Tails.
  arxiv.

• (with A. Acuaviva, A. Chan, S. Eldridge, C. Godsil, M. How, E. Wright, X. Zhang) State Transfer in Complex Quantum Walks.
  arxiv.

• (with W. Xie, A. Kay) Breaking the Speed Limit for Perfect Quantum State Transfer.
  Phys Rev A 108:012408, 2023. link. arxiv.

• (with W. Xie) Optimality of Spatial Search in Graphs with Infinite Tail.
  Phys Rev A 107:032416, 2023. link. arxiv.

• (with A. Chan, C. Godsil, W. Xie) Of Shadows and Gaps in Spatial Search.
  Quantum Inf Comput 22:13&14, 1110-1131, 2022. arxiv.

• (with A. Chan, G. Coutinho, W. Drazen, O. Eisenberg, C. Godsil, M. Kempton, G. Lippner, H. Zhan) Fundamentals of Fractional Revival in Graphs.
  Linear Algebra Appl 655, 129-158, 2022. link, arxiv.

• (with A. Chan, G. Coutinho, L. Vinet, H. Zhan) Fractional Revival and Association Schemes.
  Discrete Math 343(11):112018, 2020. link. arxiv.

• (with A. Chan, G. Coutinho, L. Vinet, H. Zhan) Quantum Fractional Revival on Graphs.
  Discrete Appl Math 269, 86-98, 2019. link. arxiv.
• (with P.-A. Bernard, A. Chan, É. Loranger, L. Vinet) A Graph with Fractional Revival.
  Phys Lett A 382:5, 259-264, 2018. link, arxiv.
• (with E. Connelly, N. Grammel, M. Kraut, L. Serazo) Universality in Perfect State Transfer.
  Linear Algebra Appl 531, 516-532, 2017. link, arxiv.
• (with E. Ackelsberg, Z. Brehm, A. Chan, J. Mundinger) Quantum State Transfer in Coronas.
  Electron J Comb 24:2, P24, 2017. link, arxiv.

• (with E. Ackelsberg, Z. Brehm, A. Chan, J. Mundinger) Laplacian State Transfer in Coronas.
  Linear Algebra Appl 506, 154-167, 2016. link, arxiv.

• (with R. Alvir, S. Dever, B. Lovitz, J. Myer, Y. Xu, H. Zhan) Perfect State Transfer in Laplacian Quantum Walk.
  J Algebr Comb 43, 801-826, 2016. link, arxiv. (A special issue dedicated to Chris Godsil.)

• (with S. Cameron, S. Fehrenbach, L. Granger, O. Hennigh, S. Shrestha) Universal State Transfer on Graphs.
  Linear Algebra Appl 455, 115-142, 2014. link, arxiv.

• (with D. Mallory, A. Raz, T. Zaslavsky) Which Exterior Powers are Balanced?
  Electron J Comb 20:2, P43, 2013. link, arxiv.

• (with M. Brazell, N. Li, C. Navasca) Solving Multilinear Systems via Tensor Inversion.
  SIAM J Matrix Anal A 34:2, 542-570, 2013. link.

• (with J. Brown, C. Godsil, D. Mallory, A. Raz) Perfect State Transfer on Signed Graphs.
  Quantum Inf Comput 13:5&6, 511-530, 2013. pdf, arxiv.

• (with R. Bachman, E. Fredette, J. Fuller, M. Landry, M. Opperman, A. Tollefson) Perfect state transfer on quotient graphs.
  Quantum Inf Comput 12:3&4, 293-313, 2012. pdf, arxiv.

• (with Y. Ge, B. Greenberg, O. Perez) Perfect state transfer, graph products and equitable partitions.
  Int J Quantum Inf 9:3, 823-842, 2011. link, pdf, arxiv.

• (with V. Kendon) Perfect state transfer in quantum walks on graphs.
  J Comput Theor Nanos 8:3, 422-433, 2011. pdf.

• (with E. Foreman, P. Habitz, M.-C. Cheng) Inclusion of Chemical-Mechanical Polishing Variation in Statistical Static Timing Analysis.
  IEEE T Comput Aid D 30:11, 1758-1762, 2011.

• (with R.J. Angeles-Canul, R. Norton, M. Opperman, C. Paribello, M. Russell) Perfect state transfer, integral circulants, and join of graphs.
  Quantum Inf Comput 10:3&4, 325-342, 2010. pdf, arxiv.

• (with R.J. Angeles-Canul, R. Norton, M. Opperman, C. Paribello, M. Russell) Quantum perfect state transfer in weighted join graphs.
  Int J Quantum Inf 7:8, 1429-1445, 2009. link, pdf, arxiv.

• (with A. Best, M. Kliegl, S. Mead-Gluchacki) Mixing of Quantum Walks on Generalized Hypercubes.
  Int J Quantum Inf 6:6, 1135-1148, 2008. link, pdf, arxiv.

• Learning with the Aid of an Oracle.
  Encyclopedia of Algorithms, Springer, 423-425, 2008. pdf.
  link

• (with W. Adamczak, K. Andrew, L. Bergen, D. Ethier, P. Hernberg, J. Lin) Non-uniform mixing of quantum walk on cycles.
  Int J Quantum Inf 5:6, 781-793, 2007. link, pdf, arxiv.

• (with W. Carlson, A. Ford, E. Harris, J. Rosen, K. Wrobel) Universal Mixing of Quantum Walk on Graphs.
  Quantum Inf Comput 7:8, 738-751, 2007. pdf, arxiv.

• (with P. Lo, S. Rajaram, D. Schepens, D. Sullivan, J. Ward) Mixing of Quantum Walk on Circulant Bunkbeds.
  Quantum Inf Comput 6:4&5, 370-381, 2006. pdf, arxiv.

• (with L. Fedichkin, D. Solenov) Mixing and Decoherence in Continuous-Time Quantum Walks on Cycles.
  Quantum Inf Comput 6:3, 263-276, 2006. pdf, arxiv.

• (with N. Bshouty, J. Jackson) Exploring learnability between exact and PAC.
  J Comput Syst Sci 70:4, 471-484, 2005. link, pdf.

• (with D. ben-Avraham, E. Bollt) One-dimensional continuous-time quantum walks.
  Quantum Inf Process 3, 295-308, 2004. pdf. arxiv.

• (with N. Bshouty, J. Jackson) More Efficient PAC-Learning of DNF with Membership Queries under the Uniform Distribution.
  J Comput Syst Sci 68:1, 205-234, 2004. link, pdf.

• (with A. Ahmadi, R. Belk, C. Wendler) On Mixing in Continuous-Time Quantum Walks on Some Circulant Graphs.
  Quantum Inf Comput 3:6, 611-618, 2003. pdf, arxiv.

• (with N. Bshouty, J. Jackson) Uniform-Distribution Attribute Noise Learnability.
  Inform Comput 187:2, 277-290, 2003. link, pdf.

• (with N. Bshouty, J. Jackson) Exploring learnability between exact and PAC.
  Proc. 15th Annual Conference on Computational Learning Theory, LNCS 2375, Springer, 244-254, 2002.
  link.

• (with J. Jackson, T. Yamakami) Quantum DNF Learnability Revisited.
  Proc. 8th Annual International Conference on Computing and Combinatorics, LNCS 2387, Springer, 595-604, 2002.
  link.

• (with J. Xiang) On the Boosting Pruning problem.
  Proc. 11th European Conference on Machine Learning, LNCS 1810, Springer, 404-412, 2000. pdf.
  link.

• (with N. Bshouty, J. Jackson) More Efficient PAC-Learning of DNF with Membership Queries under the Uniform Distribution.
  Proc. 12th Annual Conference on Computational Learning Theory, 286-295, 1999.
  link.

• (with N. Bshouty, J. Jackson) Uniform-Distribution Attribute Noise Learnability.
  Proc. 12th Annual Conference on Computational Learning Theory, 75-80, 1999.
  link.

• (with N. Bshouty, D. Wilson) On Learning Width Two Branching Programs.
  Inform Process Lett 65:4, 217-222, 1998. link, pdf.

• (with N. Bshouty, D. Wilson) Learning Matrix Functions over Rings.
  Algorithmica 22, 91-111, 1998. link, pdf.

• (with N. Bshouty, D. Wilson) On Learning Decision Trees with Large Output Domains.
  Algorithmica 20:1, 77-100, 1998. link, pdf.

• (with N. Bshouty, D. Wilson) Learning Matrix Functions over Rings.
  Proc. 3rd European Conference on Computational Learning Theory, LNCS 1208, Springer, 27-37, 1997.
  link.

• (with F. Bergadano, N. Bshouty, S. Varricchio) On Learning Branching Programs and Small Depth Circuits.
  Proc. 3rd European Conference on Computational Learning Theory, LNCS 1208, Springer, 150-161, 1997. pdf.
  link.

• (with N. Bshouty) On the Fourier Spectrum of Monotone Functions.
  J Assoc Comput Mach 43:4, 747-770, 1996. link, pdf.

• (with N. Bshouty, R. Cleve, R. Gavaldà , S. Kannan) Oracles and Queries that are Sufficient for Exact Learning.
  J Comput Syst Sci 52:3, 421-433, 1996. link, pdf.

• (with N. Bshouty, D. Wilson) On Learning Width Two Branching Programs.
  Proc. 9th Annual Conference on Computational Learning Theory, 224-227, 1996.
  link.

• (with N. Bshouty, D. Wilson) On Learning Decision Trees with Large Output Domains.
  Proc. 8th Annual Conference on Computational Learning Theory, 190-197, 1995.

• (with N. Bshouty) On the Fourier Spectrum of Monotone Functions.
  Proc. 27th Annual ACM Symposium on the Theory of Computing, 219-228, 1995.
  link.

• (with N. Bshouty, R. Cleve, S. Kannan) Oracles and Queries that are Sufficient for Exact Learning.
  Proc. 7th Annual ACM Conference on Computational Learning Theory, 130-139, 1994.
  link.

Preprints

• (with A. Kay, W. Xie) A Note on the Speed of Perfect State Transfer. arxiv.

• (with W. Xie) A Note on Quantum Markov Models. arxiv.

• (with C. Navasca, M. Opperman, T. Penderghest) Tensors as module homomorphisms over group rings. arxiv.