Quantum walk mixing is faster than classical on periodic lattices

DOI10.1016/j.physa.2023.129252zbMath1527.82006arXiv2309.16352OpenAlexW4387335030MaRDI QIDQ6085295

Shyam Dhamapurkar, Xiu-Hao Deng

Publication date: 7 November 2023

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.16352

zbMATH Keywords

mixing timeperiodic latticescontinuous time quantum walks

Mathematics Subject Classification ID

Quantum computation (81P68) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random walks on graphs (05C81)

Cites Work

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• Quantum walks: a comprehensive review
• An example of the difference between quantum and classical random walks
• Quantum walk and its application domains: a systematic review
• Exponential algorithmic speedup by a quantum walk
• Quantum Walk Algorithm for Element Distinctness

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