Quantum protocol in chains of molecular spin complexes with internal magnetic anisotropies

In situ control of applied fields and interactions in magnetic molecular quantum materials, which are natural candidates for quantum computation and information processing, has been proposed to emulate braiding of Majorana zero modes in spin-1/2 Ising chains [1], owing to their customized connectivity via surface deposition [2,3] and remarkable range of interactions. Here we numerically investigate the plausibility of extending such protocols to more general, realistic molecular complexes, e.g. higher spin chains of molecules with internal magnetic anisotropies [4,5,6]. Inclusion of anisotropy shows qualitative difference in protocol efficiency compared to the higher spin analogue of the Ising chain. While emulated braiding can be straightforwardly implemented for Ising chains, we find that a nontrivial generalization of the braiding protocol must be applied to chains with an isotropic exchange interaction.

[1] Backens et al., Phys. Rev. B 96, 195402 (2017)

[2] Tesi et al., Adv. Mater. 2023, 35, 2208998

[3] Kumar et al., J. Mater. Chem. A, 2024,12, 6269-6279

[4] Hoffman et al., arXiv:2110.12019

[5] Gerli et al., Inorganic Chemistry 30, 4673 (1991)

[6] Orlova et al., Journal of the American Chemical Society 2023 145 (40), 22265-22275