Quantum random walks and their convergence to Evans-Hudson flows |
| |
Authors: | Lingaraj Sahu |
| |
Institution: | (1) Indian Statistical Institute, Bangalore Centre, Stat-Math Unit, 8th Mile, Mysore Road, Bangalore, 560 059, India |
| |
Abstract: | Using coordinate-free basic operators on toy Fock spaces, quantum random walks are defined following the ideas of Attal and
Pautrat. Extending the result for one dimensional noise, strong convergence of quantum random walks associated with bounded
structure maps to Evans-Hudson flow is proved under suitable assumptions. Starting from the bounded generator of a given uniformly
continuous quantum dynamical semigroup on a von Neumann algebra, we have constructed quantum random walks which converges
strongly and the strong limit gives an Evans-Hudson dilation for the semigroup. |
| |
Keywords: | Quantum dynamical semigroup Evans-Hudson flow quantum random walk |
本文献已被 SpringerLink 等数据库收录! |
|