Celestial Quantum Error Correction: From Noncommutative Geometry to Celestial CFT


Tuesday, February 6, 2024
18:00 - 19:00


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 $w_{1+\infty}$ hierarchy of soft currents and its realization in twistor space.


String Theory group


Group Seminar


quantum computing, string theory


Yangrui Hu (Perimeter)

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