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arXiv · 1809.07462

Trojan Quantum Walks

Henrique S. Ghizoni·Edgard P. M. Amorim
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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.

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Henrique S. Ghizoni, Edgard P. M. Amorim. 2020-04-06. Trojan Quantum Walks. https://doi.org/10.1007/s13538-019-00638-9

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