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Bibliographic Details
Main Authors: Keller, Luna Lima, Brod, Daniel Jost
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.11823
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Table of Contents:
  • Quantum walks in general graphs, or more specifically scattering on graphs, encompass enough complexity to perform universal quantum computation. Any given quantum circuit can be broken down into single- and two-qubit gates, which can then be translated into subgraphs -- gadgets -- that implement such unitaries on the logical qubits, simulated by particles traveling along a sparse graph. In this work, we start to develop a full theory of multi-particle scattering on graphs and give initial applications to build multi-particle gadgets with different properties.