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Papers

(with A. Kay) The Strength of Weak Coupling. arxiv.
(with A. Kay) Matrix Inversion by Quantum Walk. arxiv.
(with A. Kay, S. Kim) Optimising Perfect Quantum State Transfer for Timing Insensitivity. arxiv.
(with A. Acuaviva, A. Chan, S. Eldridge, C. Godsil, M. How-Chun-Lun, E. Wright, X. Zhang) State Transfer in Chiral Quantum Walks.
Phil Trans R Soc A 383:20240420, 2025. link, arxiv.
(with P.-A. Bernard, L. Vinet, W. Xie) Quantum State Transfer in Graphs with Tails.
Linear Algebra Appl 710, 363-384, 2025. link, 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.

Miscellany

(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.