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@ARTICLE{Bruschi:1037785,
      author       = {Bruschi, David Edward and Xuereb, André and Zeier, Robert},
      title        = {{D}eciding finiteness of bosonic dynamics with tunable
                      interactions},
      journal      = {Journal of physics / A},
      volume       = {58},
      number       = {2},
      issn         = {1751-8113},
      address      = {Bristol},
      publisher    = {IOP Publishing},
      reportid     = {FZJ-2025-00937},
      pages        = {025204 -},
      year         = {2025},
      abstract     = {We are motivated by factorization of bosonic quantum
                      dynamics and we study the corresponding Lie algebras, which
                      can potentially be infinite dimensional. To characterize
                      such factorization, we identify conditions for these Lie
                      algebras to be finite dimensional. We consider cases where
                      each free Hamiltonian term is itself an element of the
                      generated Lie algebra. In our approach, we develop new tools
                      to systematically divide skew-hermitian bosonic operators
                      into appropriate subspaces, and construct specific sequences
                      of skew-hermitian operators that are used to gauge the
                      dimensionality of the Lie algebras themselves. The
                      significance of our result relies on conditions that
                      constrain only the independently controlled generators in a
                      particular Hamiltonian, thereby providing an effective
                      algorithm for verifying the finiteness of the generated Lie
                      algebra. In addition, our results are tightly connected to
                      mathematical work where the polynomials of creation and
                      annihilation operators are known as the Weyl algebra. Our
                      work paves the way for better understanding factorization of
                      bosonic dynamics relevant to quantum control and quantum
                      technology.},
      cin          = {PGI-12 / PGI-8},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-12-20200716 / I:(DE-Juel1)PGI-8-20190808},
      pnm          = {5214 - Quantum State Preparation and Control (POF4-521) /
                      Verbundprojekt: German Quantum Computer based on
                      Superconducting Qubits (GEQCOS) - Teilvorhaben:
                      Charakterisierung, Kontrolle und Auslese (13N15685) / 5221 -
                      Advanced Solid-State Qubits and Qubit Systems (POF4-522) /
                      BMBF 13N16210 - SPINNING – Spin-Photon-basierter
                      Quantencomputer auf Diamantbasis (BMBF-13N16210) /
                      PASQuanS2.1 - Programmable Atomic Large-scale Quantum
                      Simulation 2 - SGA1 (101113690)},
      pid          = {G:(DE-HGF)POF4-5214 / G:(BMBF)13N15685 /
                      G:(DE-HGF)POF4-5221 / G:(DE-Juel1)BMBF-13N16210 /
                      G:(EU-Grant)101113690},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001382139400001},
      doi          = {10.1088/1751-8121/ad91fc},
      url          = {https://juser.fz-juelich.de/record/1037785},
}