Title :
Anderson localization in 1-D quantum random walk
Author :
Bondarenko, A.N. ; Dedok, V.A.
Author_Institution :
Sobolev Inst. of Math., Novosibirsk State Tech. Univ., Russia
fDate :
26 June-2 July 2005
Abstract :
In this paper we intend to present some new results concerning two quantum models: quantum scattering model and discrete quantum random walk. We present the analytical solution of the 1D quantum random walk and give an explicit formula of the quantum return probability. The exact solution provides weak Anderson localization in discrete quantum random walk theory. Connectivity between these theories is introduced.
Keywords :
quantum theory; 1D quantum random walk; Anderson localization; discrete quantum random walk theory; quantum models; quantum return probability; quantum scattering model; Bonding; Boundary conditions; Interference; Mathematics; Optical scattering; Particle scattering; Quantum computing; Quantum mechanics; Random media; Schrodinger equation;
Conference_Titel :
Science and Technology, 2005. KORUS 2005. Proceedings. The 9th Russian-Korean International Symposium on
Print_ISBN :
0-7803-8943-3
DOI :
10.1109/KORUS.2005.1507636
