Phase transition of an open quantum walk

DOI10.1142/S0219749921500283zbMath1489.82026arXiv2103.01473MaRDI QIDQ5037880

Takuya Machida

Publication date: 4 March 2022

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.01473

zbMATH Keywords

phase transitionopen quantum walk

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)

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Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions ⋮ Tree-homogeneous quantum Markov chains

Cites Work

• Open quantum random walks
• Homogeneous open quantum random walks on a lattice
• Realistic quantum probability
• From quantum cellular automata to quantum lattice gases
• Quantum walks: a comprehensive review
• Limit theorems for open quantum random walks
• Open quantum walks on graphs
• Central limit theorems for open quantum random walks and quantum measurement records
• QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS