6533b7d8fe1ef96bd1269b4e
RESEARCH PRODUCT
Quantum walk on the line through potential barriers
Thomas G. Wongsubject
Quadratic growthPhysicsQuantum PhysicsFOS: Physical sciencesStatistical and Nonlinear PhysicsCondensed Matter::Mesoscopic Systems and Quantum Hall EffectRandom walk01 natural sciences010305 fluids & plasmasTheoretical Computer ScienceElectronic Optical and Magnetic MaterialsModeling and SimulationBallistic conduction0103 physical sciencesSignal ProcessingLine (geometry)Dispersion (optics)Rectangular potential barrierQuantum walkStatistical physicsElectrical and Electronic EngineeringQuantum Physics (quant-ph)010306 general physicsdescription
Quantum walks are well-known for their ballistic dispersion, traveling $\Theta(t)$ away in $t$ steps, which is quadratically faster than a classical random walk's diffusive spreading. In physical implementations of the walk, however, the particle may need to tunnel through a potential barrier to hop, and a naive calculation suggests this could eliminate the ballistic transport. We show by explicit calculation, however, that such a loss does not occur. Rather, the $\Theta(t)$ dispersion is retained, with only the coefficient changing, which additionally gives a way to detect and quantify the hopping errors in experiments.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-09-23 | Quantum Information Processing |