---
res:
  bibo_abstract:
  - This paper presents a class of structure-preserving numerical methods for quantum
    optimal control problems, based on commutator-free Cayley integrators. Starting
    from the Krotov framework, we reformulate the forward and backward propagation
    steps using Cayley-type schemes that preserve unitarity and symmetry at the discrete
    level. This approach eliminates the need for matrix exponentials and commutators,
    leading to significant computational savings while maintaining higher-order accuracy.
    We first recall the standard linear setting and then extend the formulation to
    nonlinear Schrödinger and Gross-Pitaevskii equations using a Cayley-polynomial
    interpolation strategy. Numerical experiments on state-transfer problems illustrate
    that the CF-Cayley method achieves the same accuracy as high-order exponential
    or Cayley-Magnus schemes at substantially lower cost, especially for longtime
    or highly oscillatory dynamics. In the nonlinear regime, the structure-preserving
    properties of the method ensure stability and norm conservation, making it a robust
    tool for large-scale quantum control simulations. The proposed framework thus
    bridges geometric integration and optimal control, offering an efficient and reliable
    alternative to existing exponential-based propagators.@eng
  bibo_authorlist:
  - 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: Usman
      foaf_name: Ali, Usman
      foaf_surname: Ali
  - foaf_Person:
      foaf_givenName: Torsten
      foaf_name: Meier, Torsten
      foaf_surname: Meier
      foaf_workInfoHomepage: http://www.librecat.org/personId=344
    orcid: 0000-0001-8864-2072
  - foaf_Person:
      foaf_givenName: Sina
      foaf_name: Ober-Blöbaum, Sina
      foaf_surname: Ober-Blöbaum
      foaf_workInfoHomepage: http://www.librecat.org/personId=16494
  bibo_doi: 10.48550/ARXIV.2603.11697
  dct_date: 2026^xs_gYear
  dct_language: eng
  dct_title: Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum
    Optimal Control@
...