The Fibonacci quantum walk and its cassical trace map
arXiv:0802.2289 · doi:10.1016/j.physa.2009.06.022
Abstract
We study the quantum walk in momentum space using a coin arranged in quasi-periodic sequences following a Fibonacci prescription. We build for this system a classical map based on the trace of the evolution operator. The sub-ballistic behavior of this quantum walk is connected with the power-law decay of the time correlations of the trace map.
5 pages, 3 figures
References in corpus (9)
- Quantum random walks - an introductory overview
- Universal computation by quantum walk
- Controlling discrete quantum walks: coins and intitial states
- Aperiodic Quantum Random Walks
- Quantum Walks on a Random Environment
- Quantum random walk on the line as a markovian process
- Sub-ballistic behavior in quantum systems with Lévy noise
- Measurements in the Lévy quantum walk
- Sub-ballistic behaviour of the Quantum Kicked Rotor
Cited by in corpus (19)
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- Quantum and random walks as universal generators of probability distributions
- Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
- Massless Dirac Equation from Fibonacci Discrete-Time Quantum Walk
- Invariance in quantum walks with time-dependent coin operators
- Limit Theorems for the Fibonacci Quantum Walk
- Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators
- Non-Markovianity in Discrete-Time Open Quantum Random Walk on Arbitrary Graphs
- Localization and Fractality in Inhomogeneous Quantum Walks with Self-Duality
- Invariance in Quantum Walks
- Newhouse phenomena in the Fibonacci trace map
- Response to glassy disorder in coin on spread of quantum walker
- Enhanced spreading in continuous-time quantum walks using aperiodic temporal modulation of defects
- A limit theorem for a 3-period time-dependent quantum walk
- Limit distribution of a time-dependent quantum walk on the half line