22 citations · 69 across the 8 of their papers we have counts for
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quant-ph2017★ 18 cited
Analysis of Coined Quantum Walks with Renormalization
Stefan Boettcher, Shanshan Li
We introduce a new framework to analyze quantum algorithms with the renormalization group (RG). To this end, we present a detailed analysis of the real-space RG for discrete-time q…
quant-ph2016★ 5 cited
Renormalization of the Unitary Evolution Equation for Coined Quantum Walks
Stefan Boettcher, Shanshan Li, Renato Portugal
We consider discrete-time evolution equations in which the stochastic operator of a classical random walk is replaced by a unitary operator. Such a problem has gained much attentio…
quant-ph2016★ 22 cited
Continuous Time Quantum Walks in finite Dimensions
Shanshan Li, Stefan Boettcher
We consider the quantum search problem with a continuous time quantum walk for networks of finite spectral dimension d_{s} of the network Laplacian. For general networks of fractal…