text: 313,15,1432880589963763712,4438354094,Tom Wong,"New paper with @Creighton undergraduate Jacob Rapoza! ""Search by Lackadaisical Quantum Walk with Symmetry Breaking."" Jacob started doing research with me the summer before his freshman year, and he is now a junior. <LINK> <LINK> There's something incredibly rewarding about mentoring students in their first research project, to say, ""You've contributed to the body of scientific knowledge!"" Or, ""You've solved a problem that no one else has solved before!"" Or, ""You're the world expert on this topic!""",https://arxiv.org/abs/2108.13856,"The lackadaisical quantum walk is a lazy version of a discrete-time, coined quantum walk, where each vertex has a weighted self-loop that permits the walker to stay put. They have been used to speed up spatial search on a variety of graphs, including periodic lattices, strongly regular graphs, Johnson graphs, and the hypercube. In these prior works, the weights of the self-loops preserved the symmetries of the graphs. In this paper, we show that the self-loops can break all the symmetries of vertex-transitive graphs while providing the same computational speedups. Only the weight of the self-loop at the marked vertex matters, and the remaining self-loop weights can be chosen randomly, as long as they are small compared to the degree of the graph. ",Search by Lackadaisical Quantum Walk with Symmetry Breaking,2,"['New paper with @Creighton undergraduate Jacob Rapoza! ""Search by Lackadaisical Quantum Walk with Symmetry Breaking."" Jacob started doing research with me the summer before his freshman year, and he is now a junior. <LINK> <LINK>', 'There\'s something incredibly rewarding about mentoring students in their first research project, to say, ""You\'ve contributed to the body of scientific knowledge!"" Or, ""You\'ve solved a problem that no one else has solved before!"" Or, ""You\'re the world expert on this topic!""']",21,08,502