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) |
|---|---|
| Pages (from-to) | 675-688 |
| Number of pages | 14 |
| Journal | Quantum Information Processing |
| Volume | 15 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 1 2016 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Theoretical Computer Science
- Electronic, Optical and Magnetic Materials
- Signal Processing
- Modeling and Simulation
- Electrical and Electronic Engineering
Cite this
Quantum walk on the line through potential barriers. / Wong, Thomas.
In: Quantum Information Processing, Vol. 15, No. 2, 01.02.2016, p. 675-688.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quantum walk on the line through potential barriers
AU - Wong, Thomas
PY - 2016/2/1
Y1 - 2016/2/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=84955386496&partnerID=8YFLogxK
U2 - 10.1007/s11128-015-1215-6
DO - 10.1007/s11128-015-1215-6
M3 - Article
AN - SCOPUS:84955386496
VL - 15
SP - 675
EP - 688
JO - Quantum Information Processing
JF - Quantum Information Processing
SN - 1570-0755
IS - 2
ER -