---
res:
  bibo_abstract:
  - 'In this work, we address the numerical identification of entanglement in dynamical
    scenarios. To this end, we consider different programs based on the restriction
    of the evolution to the set of separable (i.e., non-entangled) states, together
    with the discretization of the space of variables for numerical computations.
    As a first approach, we apply linear splitting methods to the restricted, continuous
    equations of motion derived from variational principles. We utilize an exchange
    interaction Hamiltonian to confirm that the numerical and analytical solutions
    coincide in the limit of small time steps. The application to different Hamiltonians
    shows the wide applicability of the method to detect dynamical entanglement. To
    avoid the derivation of analytical solutions for complex dynamics, we consider
    variational, numerical integration schemes, introducing a variational discretization
    for Lagrangians linear in velocities. Here, we examine and compare two approaches:
    one in which the system is discretized before the restriction is applied, and
    another in which the restriction precedes the discretization. We find that the
    "first-discretize-then-restrict" method becomes numerically unstable, already
    for the example of an exchange-interaction Hamiltonian, which can be an important
    consideration for the numerical analysis of constrained quantum dynamics. Thereby,
    broadly applicable numerical tools, including their limitations, for studying
    entanglement over time are established for assessing the entangling power of processes
    that are used in quantum information theory.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Christian
      foaf_name: Offen, Christian
      foaf_surname: Offen
  - foaf_Person:
      foaf_givenName: Boris
      foaf_name: Wembe, Boris
      foaf_surname: Wembe
  - foaf_Person:
      foaf_givenName: Laura
      foaf_name: Ares, Laura
      foaf_surname: Ares
  - foaf_Person:
      foaf_givenName: Jan
      foaf_name: Sperling, Jan
      foaf_surname: Sperling
  - foaf_Person:
      foaf_givenName: Sina
      foaf_name: Ober-Blöbaum, Sina
      foaf_surname: Ober-Blöbaum
  bibo_doi: 10.1088/1751-8121/ae6d51
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1751-8113
  - http://id.crossref.org/issn/1751-8121
  dct_language: eng
  dct_publisher: IOP Publishing@
  dct_title: Numerical approaches to entangling dynamics from variational principles@
...