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PreprintCC BY 4.0arXiv

Quantum Simulations of Two-Dimensional Non-Abelian Adjoint String Breaking

Abstract

Quantum computers offer the potential to directly probe the dynamics of strongly coupled quantum field theories. As a step towards reaching this potential, local Krylov-based truncations of a pure SU(2) lattice gauge theory on a triangular lattice are constructed. Adjoint strings connected to dynamical gluons are constructed in this truncated theory, and the resonances dominating the long-term dynamics at a large value of the gauge coupling are determined. Local operators are constructed to identify string oscillations and breakings. This is used to perform a quantum simulation of adjoint string breaking on an 8×8 and 16×8-site lattice with ibm_boston using all 156 qubits. Quantitative agreement with tensor network simulations is obtained for circuits with 7,634 CZ gates with a two-qubit gate depth of 218. In this simulation, the rates of oscillations and glueball production are identified with a distinctly non-Abelian signature of the underlying gauge group.

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BibTeX
@misc{ciavarella2026quantum,
  title = {{Quantum Simulations of Two-Dimensional Non-Abelian Adjoint String Breaking}},
  author = {Anthony N. Ciavarella and Roland de Putter and Ed Younis and Ermal Rrapaj},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.28752},
  eprint = {2608.28752},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28752},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum Simulations of Two-Dimensional Non-Abelian Adjoint String Breaking
AU  - Anthony N. Ciavarella
AU  - Roland de Putter
AU  - Ed Younis
AU  - Ermal Rrapaj
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.28752
UR  - https://arxiv.org/abs/2608.28752
AB  - Quantum computers offer the potential to directly probe the dynamics of strongly coupled quantum field theories. As a step towards reaching this potential, local Krylov-based truncations of a pure SU(2) lattice gauge theory on a triangular lattice are constructed. Adjoint strings connected to dynamical gluons are constructed in this truncated theory, and the resonances dominating the long-term dynamics at a large value of the gauge coupling are determined. Local operators are constructed to identify string oscillations and breakings. This is used to perform a quantum simulation of adjoint string breaking on an 8×8 and 16×8-site lattice with ibm_boston using all 156 qubits. Quantitative agreement with tensor network simulations is obtained for circuits with 7,634 CZ gates with a two-qubit gate depth of 218. In this simulation, the rates of oscillations and glueball production are identified with a distinctly non-Abelian signature of the underlying gauge group.
ER  -