Continuous-Time Quantum Walks: Models for Coherent Transport on Complex Networks
By O. Muelken, Alexander Blumen. 2011
323 citations recorded by the source corpus.
This paper reviews recent advances in continuous-time quantum walks (CTQW) and their application to transport in various systems. The introduction gives a brief survey of the historical background of CTQW. After a short outline of the theoretical ideas behind CTQW and of its relation to classical continuous-time random walks (CTRW) in Sec.~2, implications for the efficiency of the transport are presented in Sec.~3. The fourth section gives an overview of different types of networks on which CTQW have been studied so far. Extensions of CTQW to systems with long-range interactions and with static disorder are discussed in section V. Systems with traps, i.e., systems in which the walker's probability to remain inside the system is not conserved, are presented in section IV. Relations to similar approaches to the transport are studied in section VII. The paper closes with an outlook on possible future directions.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Physical and Theoretical Chemistry
View Paper: https://www.semanticscholar.org/paper/0025b637cbfd6e24feb348cb115a31e8fa9849ac
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Random walks and diffusion on networks (2016, background): “We only very rarely mention some of the numerous other types of RWs, which include correlated RWs [69], self-avoiding RWs [4, 70, 71], zero-range processes [72], multiplicative random processes [73, 74], adaptive RWs (including reinforced RWs [75]), branching RWs [76], Lévy flights [34, 35], elephan”