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

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概要

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.