Quantum walks with memory on cycles
arXiv:1301.2905 · doi:10.1016/j.physa.2014.01.002
Abstract
We study the model of quantum walks on cycles enriched by the addition of 1-step memory. We provide a formula for the probability distribution and the time-averaged limiting probability distribution of the introduced quantum walk. Using the obtained results, we discuss the properties of the introduced model and the difference in comparison to the memoryless model.
6 pages, 2 figures, published version
References in corpus (4)
Cited by in corpus (7)
- Quantum key distribution with quantum walks
- Generic Quantum Walks with Memory
- Lively quantum walks on cycles
- History Dependent Quantum Walk on the Cycle with an Unbalanced Coin
- Interference-induced localization in quantum random walk on clean cyclic graph
- Hash function based on controlled alternate quantum walks with memory
- One Dimensional Quantum Walks with Two-step Memory