---
res:
  bibo_abstract:
  - "<jats:title>Abstract</jats:title>\r\n                  <jats:p>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.</jats:p>@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Christian
      foaf_name: Offen, Christian
      foaf_surname: Offen
  - foaf_Person:
      foaf_givenName: Boris Edgar
      foaf_name: Wembe Moafo, Boris Edgar
      foaf_surname: Wembe Moafo
      foaf_workInfoHomepage: http://www.librecat.org/personId=95394
    orcid: 0000-0002-6085-8071
  - 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_workInfoHomepage: http://www.librecat.org/personId=75127
    orcid: 0000-0002-5844-3205
  - foaf_Person:
      foaf_givenName: Sina
      foaf_name: Ober-Blöbaum, Sina
      foaf_surname: Ober-Blöbaum
      foaf_workInfoHomepage: http://www.librecat.org/personId=16494
  bibo_doi: 10.1088/1751-8121/ae6d51
  bibo_issue: '22'
  bibo_volume: 59
  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@
...