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@MASTERSTHESIS{Teplitskiy:1050734,
      author       = {Teplitskiy, Daniil},
      othercontributors = {Willsch, Dennis and Willsch, Madita},
      title        = {{T}wo-{D}imensional {Q}uantum {S}imulations of a {F}alse
                      {V}acuum {D}ecay on a {Q}uantum {A}nnealer},
      school       = {RWTH Aachen},
      type         = {Masterarbeit},
      reportid     = {FZJ-2026-00477},
      pages        = {98 p.},
      year         = {2025},
      note         = {Masterarbeit, RWTH Aachen, 2025},
      abstract     = {This work explores the qualitative dynamics of false vacuum
                      decay in two dimensions, focusing on its realization through
                      quantum annealing. Theoretical foundations are outlined and
                      mapped onto quantum hardware, with several encoding
                      strategies evaluated. Among these, the coupled domain wall
                      encoding emerges as the most efficient, minimizing qubit
                      usage while maintaining distance and rotational symmetries
                      crucial for faithful modeling on a QPU. The study also
                      addresses fidelity concerns: instead of the expected uniform
                      distribution in the absence of an encoded potential, the
                      coupled domain wall representation exhibited a bias toward
                      anti-ferromagnetic states, which can be attributed to
                      coupler imperfections. To mitigate this, techniques such as
                      shimming and spin-reversal transformations were tested.
                      Spin-reversal transformations proved to be most effective,
                      both reducing variance as well as eliminating bias without
                      requiring additional corrective iterations, thus offering a
                      lightweight error-mitigation scheme. Building on this
                      foundation, the decay process was simulated using modified
                      Pöschl-Teller potentials combined with a local and global
                      minimum. The results qualitatively reproduced the
                      exponential decay, depending on the distance between the
                      minima, in agreement with semiclassical quantum field
                      theory.},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)19},
      doi          = {10.34734/FZJ-2026-00477},
      url          = {https://juser.fz-juelich.de/record/1050734},
}