Trojan Quantum Walks
arXiv:1809.07462 · doi:10.1007/s13538-019-00638-9
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.
arXiv comment8 pages, 3 figures, one column Typo corrections: eqs. 5, 10 and caption of fig. 2
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- Connecting velocity and entanglement in quantum walks
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- Optimizing the spatial spread of a quantum walk
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- Quantum Corralling
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- Continuous-time quantum walks on a defective lattice: Boosting the spreading of delocalized states through Parrondo's strategy
- Absorption-based qubit estimation in discrete-time quantum walks