Open quantum random walks
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Publication:438750
DOI10.1007/s10955-012-0491-0zbMath1246.82039arXiv1402.3253OpenAlexW2104788735WikidataQ62390344 ScholiaQ62390344MaRDI QIDQ438750
Publication date: 31 July 2012
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.3253
Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Cites Work
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- Unnamed Item
- Effect algebras are not adequate models for quantum mechanics
- States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
- From repeated to continuous quantum interactions
- Quantum dynamical semigroups and applications. (Based on Lectures given at the 20th Symposium on Theoretical Chemistry held 1984 in Emmetten, Switzerland)
- Central limit theorems for open quantum random walks and quantum measurement records
- An example of the difference between quantum and classical random walks
- From Dirac to diffusion: decoherence in quantum lattice gases
- A new type of limit theorems for the one-dimensional quantum random walk
- Quantum walks on graphs
- Quantum Walks
- Decoherence in quantum walks – a review
- Quantum Random Walks – New Method for Designing Quantum Algorithms
- Quantum simulations of classical random walks and undirected graph connectivity