Irreversibility in Reversible Multibaker Maps-Transport and Fractal Distributions

2003 ◽  
pp. 75-107
Author(s):  
S. Tasaki
Keyword(s):  
Multibaker Maps

QUANTUM MAPS WITH SPACE EXTENT: A PARADIGM FOR LATTICE QUANTUM WALKS

2006 ◽  
Vol 20 (14) ◽  
pp. 1969-2017 ◽  
Author(s):  
DANIEL K. WÓJCIK
Keyword(s):  
Dynamical Systems ◽  
Statistical Mechanics ◽  
Random Walks ◽  
Systems Approach ◽  
Nonequilibrium Statistical Mechanics ◽  
Quantum Walks ◽  
Deterministic Models ◽  
Quantum Random Walks ◽  
Lattice Quantum ◽  
Multibaker Maps

Classical multibaker maps are deterministic models of classical random walks. Quantum multibaker maps are their quantum versions. As such, they can be naturally considered quantum random walks. In this review we discuss the construction and properties of quantum multibaker maps and related, more general models, in the context of the recent results in dynamical systems approach to nonequilibrium statistical mechanics. Properties of other models of quantum walks are also discussed.

scholarly journals Quantum multibaker maps: Extreme quantum regime

2002 ◽  
Vol 66 (3) ◽  
Author(s):  
Daniel K. Wójcik ◽  
J. R. Dorfman
Keyword(s):  
Quantum Regime ◽  
Multibaker Maps
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