Oriel Kiss - Finite-size criticality in fully connected spin models on

Journal article

Michele Grossi, Oriel Kiss, Francesco De Luca, Carlo Zollo, Ian Gremese, Antonio Mandarino
Phys. Rev. E, vol. 107(2), American Physical Society, 2023 Feb, p. 024113

DOI: 10.1103/PhysRevE.107.024113

Paper arXiv

Cite

APA Click to copy
Grossi, M., Kiss, O., De Luca, F., Zollo, C., Gremese, I., & Mandarino, A. (2023). Finite-size criticality in fully connected spin models on superconducting quantum hardware. Phys. Rev. E, 107(2), 024113. https://doi.org/10.1103/PhysRevE.107.024113

Chicago/Turabian Click to copy
Grossi, Michele, Oriel Kiss, Francesco De Luca, Carlo Zollo, Ian Gremese, and Antonio Mandarino. “Finite-Size Criticality in Fully Connected Spin Models on Superconducting Quantum Hardware.” Phys. Rev. E 107, no. 2 (February 2023): 024113.

MLA Click to copy
Grossi, Michele, et al. “Finite-Size Criticality in Fully Connected Spin Models on Superconducting Quantum Hardware.” Phys. Rev. E, vol. 107, no. 2, American Physical Society, Feb. 2023, p. 024113, doi:10.1103/PhysRevE.107.024113.

BibTeX Click to copy

@article{grossi2023a,
  title = {Finite-size criticality in fully connected spin models on superconducting quantum hardware},
  year = {2023},
  month = feb,
  issue = {2},
  journal = {Phys. Rev. E},
  pages = {024113},
  publisher = {American Physical Society},
  volume = {107},
  doi = {10.1103/PhysRevE.107.024113},
  author = {Grossi, Michele and Kiss, Oriel and De Luca, Francesco and Zollo, Carlo and Gremese, Ian and Mandarino, Antonio},
  month_numeric = {2}
}

[Picture]

Ground state energy of the LMG model computed on superconducting quantum hardware with error mitigation.

In this work, we exploit the new resources offered by quantum algorithms to detect the quantum critical behavior of fully connected spin-1/2 models. We define a suitable Hamiltonian depending on an internal anisotropy parameter γ that allows us to examine three paradigmatic examples of spin models, whose lattice is a fully connected graph. We propose a method based on variational algorithms run on superconducting transmon qubits to detect the critical behavior for systems of finite size. We evaluate the energy gap between the first excited state and the ground state, the magnetization along the easy axis of the system, and the spin-spin correlations.