Anderson localization in 1-D quantum random walk

Anderson localization in 1-D quantum random walk

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 w...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Bondarenko, A.N., Dedok, V.A.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Bonding
Boundary conditions
Interference
Mathematics
Optical scattering
Particle scattering
Quantum computing
Quantum mechanics
Random media
Schrodinger equation
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Beschreibung
Zusammenfassung: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.
DOI:10.1109/KORUS.2005.1507636