Localization of M-Particle Quantum Walks
Clement Ampadu
TL;DR
This paper investigates the behavior of multiple particles executing quantum walks on a line, providing criteria for high-probability localization based on initial states and the Hadamard operator.
Contribution
It introduces theoretical conditions for localizing M-particle quantum walkers on a line, enhancing understanding of quantum walk dynamics with multiple particles.
Findings
High-probability localization criteria established
Conditions depend on initial coin states and Hadamard control
Theoretical framework for multi-particle quantum walk localization
Abstract
We study the motion of M particles performing a quantum walk on the line. Under various conditions on the initial coin states for quantum walkers controlled by the Hadamard operator, we give theoretical criterion to observe the quantum walkers at an initial location with high probability.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture