Speaker: Dr. Yixu Wang(Institute for Advanced Study, Tsinghua University)
Time & Dater: 11:00-12:00, March 19th, Wednesday
Location: Room: 1410
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 in real space. We provide a variety of concrete constructions of such codes associated
with different tessellations, which give rise to different logical groups.
Biography of the speaker: Yixu Wang is currently a postdoctoral researcher at Institute of Advanced Study, Tsinghua
University. He completed his Bachelor in Fudan University, Master in University of Cambridge and
PhD in University of Maryland, College Park. Yixu Wang has research interests in the theory of
quantum error correction, AdS/ CFT holographic duality, and applications of operator algebra to
physical systems.
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