Beijing Institute of Mathematical Sciences and Applications

Song Cheng , Zheng Wei Liu , Ziwen Liu

Yang Rui Hu

Friday, October 25, 2024 4:00 PM - 5:30 PM

Shuangqing-B627

Zoom 230 432 7880 (BIMSA)

Quantum gravity in 4D asymptotically flat spacetimes features spontaneous symmetry breaking due to soft radiation hair, intimately tied to the proliferation of IR divergences. A holographic description via a putative 2D CFT is expected free of such redundancies. In this talk, we address this issue by initiating the study of Quantum Error Correction in Celestial CFT (CCFT). We start by constructing a toy model with finite degrees of freedom by revisiting noncommutative geometry in Kleinian hyperkähler spacetimes. The model obeys a Wick algebra that renormalizes in the radial direction and admits an isometric embedding à la Gottesman-Kitaev-Preskill. Then we promote qubits to qunits and construct a toy model of CCFT from the perspective of quantum error-correcting codes. In our code, the hard states with quantized BMS soft hair form the logical subspace. This allows us to reverse errors induced by soft radiation. Technically, the construction relies on the recently studied $w_{1+\mathrm{\infty }}$ hierarchy of soft currents and its realization in twistor space.

Dr. Yangrui Hu is an Assistant Professor at BIMSA from 2025. She earned her Ph.D. in physics from Brown University in 2022, and was a postdoctoral fellow at the Perimeter Institute from 2022 to 2024 and at University of Waterloo from 2024 to 2025. Her research interests center on theoretical physics, specifically in the areas of AI+quantum, quantum information, and high-energy theory.