Quantum walk on the line through potential barriers

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)675-688
Number of pages14
JournalQuantum Information Processing
Volume15
Issue number2
DOIs
StatePublished - Feb 1 2016
Externally publishedYes

Fingerprint

Quantum Walk
Ballistics
ballistics
Line
Tunnel
random walk
Walk
tunnels
Random walk
Tunnels
Quantify
Eliminate
Coefficient
coefficients
Experiment
Experiments

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 journalArticle

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