Hydrodynamic limit of quantum random walks
Alexandre Baraviera, Tertuliano Franco, Adriana Neumann
TL;DR
This paper proves the hydrodynamic limit for independent quantum random walks on the integer lattice, providing a rigorous mathematical understanding of their large-scale behavior.
Contribution
It offers a novel proof of the hydrodynamic limit specifically for quantum random walks, extending classical results to the quantum domain.
Findings
Established the hydrodynamic limit for quantum random walks
Provided a rigorous mathematical framework for quantum walk scaling behavior
Extended classical hydrodynamic results to quantum systems
Abstract
We present a proof of the hydrodynamic limit of independent quantum random walks evolving on Z.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture