CONTINUOUS-TIME QUANTUM WALKS ON ULTRAMETRIC SPACES

DOI10.1142/S0219749906002389zbMath1107.81015arXivquant-ph/0602070WikidataQ62039422 ScholiaQ62039422MaRDI QIDQ3427056

Norio Konno

Publication date: 14 March 2007

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0602070

zbMATH Keywords

quantum walks\(p\)-adic integersultrametric space

Mathematics Subject Classification ID

Nonnumerical algorithms (68W05) Quantum computation (81P68) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Graph algorithms (graph-theoretic aspects) (05C85)

Related Items (10)

Analytical solutions for quantum walks on 1D chain with different shift operators ⋮ Quantum Walks ⋮ LIMIT THEOREMS FOR QUANTUM WALKS DRIVEN BY MANY COINS ⋮ Mixing-time and large-decoherence in continuous-time quantum walks on one-dimension regular networks ⋮ STUDY OF CONTINUOUS-TIME QUANTUM WALKS ON QUOTIENT GRAPHS VIA QUANTUM PROBABILITY THEORY ⋮ Quantum walks: a comprehensive review ⋮ Continuous-time quantum walks on semi-regular spidernet graphs via quantum probability theory ⋮ THE EFFECT OF DECOHERENCE ON MIXING TIME IN CONTINUOUS-TIME QUANTUM WALKS ON ONE-DIMENSIONAL REGULAR NETWORKS ⋮ Continuous-time quantum walks on the threshold network model ⋮ Quantum central limit theorem for continuous-time quantum walks on odd graphs in quantum probability theory

Cites Work

• One-dimensional continuous-time quantum walks
• An example of the difference between quantum and classical random walks
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
• On metric structure of ultrametric spaces
• Application ofp-adic analysis to models of breaking of replica symmetry

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