23 citations · 65 across the 7 of their papers we have counts for
7 papers
Two-particle coined-quantum walk with long-range interaction
César Alonso-Lobo, Manuel Martínez-Quesada, Margarida Hinarejos +2
We present and study a two-particle quantum walk on the line in which the two particles interact via a long-range Coulombian-like interaction. We obtain the spectrum of the system…
Non-Markovianity and memory of the initial state
Margarida Hinarejos, Mari-Carmen Bañuls, Armando Pérez +1
We explore in a rigorous manner the intuitive connection between the non-Markovianity of the evolution of an open quantum system and the performance of the system as a quantum memo…
Electric quantum walks in two dimensions
Luis A. Bru, Margarida Hinarejos, Fernando Silva +2
We study electric quantum walks in two dimensions considering Grover, Alternate, Hadamard, and DFT quantum walks. In the Grover walk the behaviour under an electric field is easy t…
Wigner formalism for a particle on an infinite lattice: dynamics and spin
M. Hinarejos, M. C. Bañuls, A. Pérez
The recently proposed Wigner function for a particle in an infinite lattice [NJP 14, 103009 (2012)] is extended here to include an internal degree of freedom, as spin. The formalis…
Chirality asymptotic behavior and non-Markovianity in quantum walks on a line
Margarida Hinarejos, Carlo Di Franco, Alejandro Romanelli +1
We investigate the time evolution of the chirality reduced density matrix for a discrete-time quantum walk on a one-dimensional lattice, which is obtained by tracing out the spatia…
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…
A study of Wigner functions for discrete-time quantum walks
M. Hinarejos, M. C. Banuls, A. Perez
We perform a systematic study of the discrete time Quantum Walk on one dimension using Wigner functions, which are generalized to include the chirality (or coin) degree of freedom.…