Abstract
Quantum walks are well known for their ballistic dispersion, traveling Θ(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 that this could eliminate the ballistic transport. We show by explicit calculation, however, that such a loss does not occur. Rather, the Θ(t) dispersion is retained, with only the coefficient changing, which additionally gives a way to detect and quantify the hopping errors in experiments.
Original language | English (US) |
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Pages (from-to) | 675-688 |
Number of pages | 14 |
Journal | Quantum Information Processing |
Volume | 15 |
Issue number | 2 |
DOIs | |
State | Published - Feb 1 2016 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Statistical and Nonlinear Physics
- Theoretical Computer Science
- Signal Processing
- Modeling and Simulation
- Electrical and Electronic Engineering