Speaker: Hiroki Sukeno (Stony Brook)
Title: Quantum simulation of gauge theories from measuring entangled states
Abstract: Quantum simulation of lattice gauge theory is expected to become a major application of near-term quantum devices. In this talk, I will present a quantum simulation scheme for lattice gauge theories motivated by Measurement-Based Quantum Computation [1], which we call Measurement-Based Quantum Simulation (MBQS). In MBQS, we consider preparing a resource state comprised of qubits whose entanglement structure reflects the spacetime structure of the simulated gauge theory. We then consider sequentially measuring qubits in the resource state in a certain adaptive manner, which drives the time evolution in the Hamiltonian lattice gauge theory. It turns out that the resource states we use for MBQS of Wegner’s models possess topological order protected by higher-form symmetries. These higher-form symmetries are also practically useful for error corrections to suppress contributions that violate gauge symmetries. This talk is based on my work with Takuya Okuda [2].
[1] R. Raussendorf and H. J. Briegel, A One-Way Quantum Computer, Phys. Rev. Lett. 86, 5188 (2001)
[2] H. Sukeno and T. Okuda, Measurement-based quantum simulation of Abelian lattice gauge theories, arXiv:2210.10908
Date & Time: 10:00 AM, Mar 22, 2023.
Video: Link