RQC Seminar

49th RQC Seminar

• Speaker

  Dr. Takuya Okuda
  ( Graduate School of Arts and Sciences, University of Tokyo )

• Date

  14:00 - 15:00 (JST), May 26, 2023 (Friday)

• Venue

  Hybrid(ZOOM・ Wako Main Research 3F 345-347 Seminar Room)

• Title

  Measurement-based quantum simulation of Abelian lattice gauge theories

• Inquiries

  rqc_info[at]ml.riken.jp

Abstract
Numerical simulation of lattice gauge theories is an indispensable tool in high energy physics, and their quantum simulation is expected to become a major application of quantum computers in the future. In this talk, we propose a measurement-based scheme for the digital quantum simulation of Abelian lattice gauge theories. The scheme uses an entangled resource state that reflects the spacetime structure of each gauge theory. We show that sequential single-qubit measurements with the bases adapted according to the former measurement outcomes induce a deterministic Hamiltonian quantum simulation of the gauge theory on the boundary. We demonstrate that the resource state has a symmetry-protected topological order with respect to generalized global symmetries that are related to the symmetries of the simulated gauge theories on the boundary. Our procedure can be generalized to the simulation of Kitaev's Majorana chain on a fermionic resource state. We also study the imaginary-time quantum simulation with two-qubit measurements and post-selections, and a classical-quantum correspondence, where the statistical partition function of the gauge theory is written as the overlap between the product of two-qubit measurement bases and the wave function of the resource state. Based on arXiv:2210.10908 with H. Sukeno.