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QI: Fachverband Quanteninformation

QI 12: Poster I

QI 12.16: Poster

Dienstag, 19. März 2024, 11:00–14:30, Poster B

Symmetry-enriched measurement-only quantum circuits on a Kitaev honeycomb lattice — •Daniel Simm, Guo-Yi Zhu, and Simon Trebst — Institute for Theoretical Physics, University of Cologne, Zülpicher Straße 77, 50937 Cologne, Germany

Quantum circuits offer unprecedented dynamical control of many-body entanglement, attracting significant attention from quantum information theorists and many-body physicists alike. Even in circuits that are built exclusively from measurements, long-range entanglement can be created through the competition of different, non-commuting measurement operators as shown in a wide variety of models. Previous work, however, primarily focused on measurement-only circuit dynamics with little to no structure. Here we investigate such symmetry-enriched quantum circuits derived from the Kitaev honeycomb model [1, 2, 3] with distinct structures in space and time and characterize the emerging, dynamically created quantum states by their entanglement structure. In doing so, we also study the analytical tractability of random Clifford circuits and discuss a possible computational complexity transition.

[1] Lavasani et al., Phys. Rev. B 108, 115135 (2023)

[2] Sriram et al., Phys. Rev. B 108, 094304 (2023)

[3] Zhu et al., arXiv:2303.17627 (2023)

Keywords: measurement-only; circuit; entanglement; symmetry; phase transition