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quant-ph2008★ 76 cited
Quantum searches on highly symmetric graphs
Daniel Reitzner, Mark Hillery, Edgar Feldman +1
We study scattering quantum walks on highly symmetric graphs and use the walks to solve search problems on these graphs. The particle making the walk resides on the edges of the gr…
quant-ph2007★ 50 cited
Modifying quantum walks: A scattering theory approach
Edgar Feldman, Mark Hillery
We show how to construct discrete-time quantum walks on directed, Eulerian graphs. These graphs have tails on which the particle making the walk propagates freely, and this makes i…