Survival Probability in a Quantum Walk on a One-Dimensional Lattice with Partially Absorbing Traps
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, vol.10, no.7, pp.1596-1600, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 10 Issue: 7
- Publication Date: 2013
- Doi Number: 10.1166/jctn.2013.3094
- Journal Name: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1596-1600
- Keywords: Quantum Walk, Trap, Quantum Computation, Survival Probability
- Dokuz Eylül University Affiliated: Yes
Abstract
Time dependence of the survival probability in a one dimensional lattice with randomly distributed and partial absorbing traps is analyzed as a function of concentration and absorption probability of the traps. The short and long time behaviors of the non-interacting quantum walks are identified with stretched exponentials. Dynamical scaling laws of the short and long time regimes as well as the crossover time between them are characterized. It is found that the short time behavior is more sensitive to the absorption probability and the crossover takes longer time for more transparent traps. Moreover, the stretching exponents increase with the transparency of the traps.