セミナー 2024年

seminar2024

Measurement-based quantum simulation of lattice gauge theories and anomaly inflow

  • SPEAKER Takuya Okuda, Univ. of Tokyo
  • PLACE Hybrid On-site: Kenkyu Honkan Seminar room 321, 322 Online: Zoom
Quantum simulation of lattice gauge theories is expected to become a major application of quantum computers in the future. So far, most efforts have focused on the scheme based on quantum circuits. In this talk, I will advocate an alternative scheme inspired by measurement-based quantum computation. The Trotterized discrete time evolution of a Hamiltonian lattice gauge theory is driven by adaptive single-qubit measurements on an entangled resource state tailored for the simulated theory. The resource state itself has interesting physical properties and is in a symmetry-protected topological (SPT) phase protected by higher-form symmetries. We demonstrate an anomaly inflow mechanism between the simulated theory and the resource state by computing the gauge transformations of defect-dependent partition functions. The resource state can also be used to prove Kramers-Wannier-Wegner dualities of various lattice models. Based on arXiv:2210.10908 and 2402.08720 with Sukeno and Parayil Mana.


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