Celestial Quantum Error Correction II: From Qudits to Celestial CFT

Abstract

A holographic CFT description of asymptotically flat spacetimes inherits vacuum degeneracies and IR divergences from its gravitational dual. We devise a Quantum Error Correcting (QEC) framework to encode both effects as correctable fluctuations on the CFT dual. The framework is physically motivated by embedding a chain of qudits in the so-called Klein spacetime and then taking a continuum $N\to \infty$ limit. At finite $N$ the qudit chain 1) enjoys a discrete version of celestial symmetries and 2) supports a Gottesman-Kitaev-Preskill (GKP) code. The limit results in hard states with quantized BMS hair in the celestial torus forming the logical subspace, robust under errors induced by soft radiation. Technically, the construction leverages the recently studied $w_{1+\infty }$ hierarchy of soft currents and its realization from a sigma model in twistor space.

References in corpus (30)

• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• Entanglement renormalization
• A class of quantum many-body states that can be efficiently simulated
• Entanglement Renormalization and Holography
• Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
• Bulk Locality and Quantum Error Correction in AdS/CFT
• BMS supertranslations and Weinberg's soft graviton theorem
• Quantum Error Correction: An Introductory Guide
• Light-ray operators in conformal field theory
• Infrared Divergences in QED, Revisited
• Celestial Amplitudes from UV to IR
• Conformal field theories are magical
• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• Extended BMS Algebra of Celestial CFT
• $(2,2)$ Scattering and the Celestial Torus
• Soft Factorization in QED from 2D Kac-Moody Symmetry
• BMS Supertranslation Symmetry Implies Faddeev-Kulish Amplitudes
• Top-down holography in an asymptotically flat spacetime
• The Soft $\mathcal{S}$-Matrix in Gravity
• Celestial chiral algebras, colour-kinematics duality and integrability
• Four-point correlators of light-ray operators in CCFT
• Non-perturbative Double Copy in Flatland
• Quantizing the non-linear graviton
• Celestial Conformal Colliders
• Asymptotic Dynamics in Perturbative Quantum Gravity and BMS Supertranslations
• The 4d/2d correspondence in twistor space and holomorphic Wilson lines
• Entanglement, Soft Modes, and Celestial Holography
• Infrared finite scattering theory: Scattering states and representations of the BMS group
• Detector Operators for Celestial Symmetries
• Infrared finite scattering theory: Amplitudes and soft theorems

Cited by in corpus (2)

• Entanglement Rényi entropies in celestial holography
• Modular Flow of Celestial Conformal Field Theory