36 citations · 180 across the 14 of their papers we have counts for
3 papers · 1 filter
Understanding and controlling N-dimensional quantum walks via dispersion relations. Application to the 2D and 3D Grover walks: Diabolical points and more
Germán J. de Valcárcel, Margarida Hinarejos, Eugenio Roldán +2
The discrete quantum walk in N dimensions is analyzed from the perspective of its dispersion relations. This allows understanding known properties, as well as designing new ones wh…
Dissipative structures in optomechanical cavities
Joaquín Ruiz-Rivas, Carlos Navarrete-Benlloch, Giuseppe Patera +2
Motivated by the increasing interest in the properties of multimode optomechanical devices, here we study a system in which a driven mode of a large-area optical cavity is despersi…
N-dimensional alternate coined quantum walks from a dispersion relation perspective
Eugenio Roldán, Carlo Di Franco, Fernando Silva +1
We propose an alternative definition of an N-dimensional coined quantum walk by generalizing a recent proposal [Di Franco et al., Phys. Rev. Lett. 106, 080502 (2011)]. This N-dimen…