Maximal entanglement from quantum random walks
B. Alles, S. Gunduc, Y. Gunduc
TL;DR
This paper investigates how to achieve maximal entanglement in one-dimensional quantum random walks with two walkers, analyzing the effects of various parameters on entanglement generation.
Contribution
It introduces a new shift operator for two walkers and analyzes its performance in generating entanglement, providing insights into optimal conditions.
Findings
Identifies conditions for maximal entanglement in quantum random walks
Analyzes the impact of shift and coin operator parameters on entanglement
Proposes an averaged entanglement measure for simplified analysis
Abstract
The conditions under which entanglement becomes maximal are sought in the general one--dimensional quantum random walk with two walkers. Moreover, a one--dimensional shift operator for the two walkers is introduced and its performance in generating entanglement is analyzed as a function of several free parameters, some of them coming from the shift operator itself and some others from the coin operator. To simplify the investigation an averaged entanglement is defined.
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