Quantum simulation of the 2D Hubbard model

Dong Zheng, Congjun Wu, Guang-Ming Zhang

Douglas J. Scalapino

Joong-Bae Kim

Benjamin Morrison, Andrew J. Landahl

▶︎ Simplified architecture stack without logical qubit layer.▶︎ Quadratic gate depth reduction for Trotter-Suzuki simulation [5] of 2D Hubbard model by exploring locality for parallelism.▶︎ T-count reduction of 20% to leading order over [4] for qubitized simulation of 2D Hubbard model using Majorana-inspired techniques also compatible with logical qubit architectures.

Jelena Stajic

Quantum Simulation One of the simplest models of interacting fermions on a two-dimensional (2D) lattice—the Hubbard model—becomes too tricky to simulate on classical computers as the density of empty lattice sites (holes) increases. Chiu et al. used a quantum microscope to take snapshots of thousands of realizations of the 2D Hubbard model in an optical lattice filled with fermionic lithium atoms at varying hole densities (see the Perspective by Schauss). The authors used pattern recognition algorithms to analyze the images, in which each lattice site was individually resolved. Comparing these patterns to the predictions of several theoretical models, they found the most consistency with the so-called geometric string model. Science , this issue p. [251][1]; see also p. [218][2] [1]: /lookup/doi/10.1126/science.aav3587 [2]: /lookup/doi/10.1126/science.aax6486

Geoffrey Ji, Christie Chiu, Annabelle Bohrdt +7 more