most citedSpectral mapping theorem of an abstract quantum walk

11 citations

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2 papers

quant-ph2018

Eigenbasis of the Evolution Operator of 2-Tessellable Quantum Walks

Yusuke Higuchi, Renato Portugal, Iwao Sato +1

Staggered quantum walks on graphs are based on the concept of graph tessellation and generalize some well-known discrete-time quantum walk models. In this work, we address the clas…

math-ph2015★ 11 cited

Spectral mapping theorem of an abstract quantum walk

Yusuke Higuchi, Etsuo Segawa, Akito Suzuki

Given two Hilbert spaces, and , we introduce an abstract unitary operator on and its discriminant on induced by a coi…