Discrete-time quantum walks: continuous limit and symmetries
type: Dataset
description: The continuous limit of one dimensional discrete-time quantum walks with time- and space-dependent coefficients is investigated. A given quantum walk does not generally admit a continuous limit but some families (1-jets) of quantum walks do. All families (1-jets) admitting a continuous limit are identified. The continuous limit is described by a Dirac-like equation or, alternately, a couple of Klein-Gordon equations. Variational principles leading to these equations are also discussed, together with local invariance properties.
issued: 2026-05-14T15:24:26.113529
language: en
modified: 2026-05-14T15:24:26.113534
contact point: Organization
  fn: CCSD
keyword: condensed-matter
keyword: continuous-limiti
keyword: differential-geometry
keyword: infoeu-reposemanticspreprint
keyword: mathmath-mpmathematics-mathmathematical-physics-math-ph
keyword: physmphyphysics-physicsmathematical-physics-math-ph
keyword: physqphyphysics-physicsquantum-physics-quant-ph
keyword: preprints-working-papers-
keyword: quantum-walks
landing page: https://hal.science/hal-00785881

Discrete-time quantum walks: continuous limit and symmetries
type: Distribution
format: HTML
issued: 2026-05-14T15:24:26.138194
modified: 2026-05-14T15:24:26.092899
access URL: https://hal.science/hal-00785881

test_moissonnage_selune
type: Agent