Trojan Quantum Walks
Quantum Physics
2020-04-07 v3
Abstract
We investigate the transport properties and entanglement between spin and position of one-dimensional quantum walks starting from a qubit over position states following a delta-like (local state) and Gaussian (delocalized state) distributions. We find out that if the initial state is delocalized enough and a NOT gate reflects this state backwards, then the interference pattern extinguishes the position dispersion without preventing the propagation of the state. This effect allows the creation of a Trojan wave packet, a non-spreading and non-stationary double-peak quantum state.
Cite
@article{arxiv.1809.07462,
title = {Trojan Quantum Walks},
author = {Henrique S. Ghizoni and Edgard P. M. Amorim},
journal= {arXiv preprint arXiv:1809.07462},
year = {2020}
}
Comments
8 pages, 3 figures, one column Typo corrections: eqs. 5, 10 and caption of fig. 2