王亦许 博士学术报告
Title: Encoded quantum gates by geometric rotation on tessellations
Speaker: Yixu Wang (王亦许)
Affiliation: Tsinghua University (清华大学)
Time: 16:00-17:00, Friday, 28th March, 2025 (UTC+8, Beijing Time)
Venue: Room 1502, Shing-Tung Yau Center, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing（东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）
Inviter: Qiang Wen (文强)
Abstract
We utilize the symmetry groups of regular tessellations on two-dimensional surfaces of different constant curvatures, including spheres, Euclidean planes and hyperbolic planes, to encode a qubit or qudit into the physical degrees of freedom on these surfaces. We show that the codes exhibit decent error correction properties by analysis via geometric considerations and the representation theory of the isometry groups on the corresponding surfaces. Interestingly, we demonstrate how this formalism enables the implementation of certain logical operations via geometric rotations of the surfaces. We provide a variety of concrete constructions of such codes associated with different tessellations, which give rise to different logical groups.
Speaker
Dr. Wang Yixu is currently a postdoc at the Institute for Advanced Study, Tsinghua University.