117 citations · 1.1k across the 71 of their papers we have counts for
4 papers · 1 filter
Relation between Random Walks and Quantum Walks
Stefan Boettcher, Stefan Falkner, Renato Portugal
Based on studies on four specific networks, we conjecture a general relation between the walk dimensions of discrete-time random walks and quantum walks with the (self-inve…
One-Dimensional Coinless Quantum Walks
Renato Portugal, Stefan Boettcher, Stefan Falkner
A coinless, discrete-time quantum walk possesses a Hilbert space whose dimension is smaller compared to the widely-studied coined walk. Coined walks require the direct product of t…
Thermodynamics of N-dimensional quantum walks
Alejandro Romanelli, Raul Donangelo, Renato Portugal +1
The entanglement between the position and coin state of a -dimensional quantum walker is shown to lead to a thermodynamic theory. The entropy, in this thermodynamics, is associa…
Quantum walks on a circle with optomechanical systems
Jalil Khatibi Moqadam, Renato Portugal, Marcos Cesar de Oliveira
We propose an implementation of a quantum walk on a circle on an optomechanical system by encoding the walker on the phase space of a radiation field and the coin on a two-level st…