Abstract
The discrete time quantumwalk which is a quantum counterpart of random walk plays important roles in the theory of quantum information theory. In the present paper, we focus on discrete time quantum walks viewed as quantization of random walks on the path. We obtain a weak limit theorem for the time averaged distribution of our quantum walks.
| Original language | English |
|---|---|
| Pages (from-to) | 1207-1218 |
| Number of pages | 12 |
| Journal | Quantum Information Processing |
| Volume | 11 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2012 Oct 1 |
Keywords
- Jacobi matrix
- Path
- Quantum walk
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Statistical and Nonlinear Physics
- Theoretical Computer Science
- Signal Processing
- Modelling and Simulation
- Electrical and Electronic Engineering
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Cite this
Ide, Y., Konno, N., & Segawa, E. (2012). Time averaged distribution of a discrete-time quantum walk on the path. Quantum Information Processing, 11(5), 1207-1218. https://doi.org/10.1007/s11128-012-0424-5