Deconfinement and Error Thresholds in Holography

ORAL

Abstract

We study the error threshold properties of holographic quantum error-correcting codes in the context of the AdS/CFT correspondence. We demonstrate that holographic conformal field theories admit an algebraic threshold, which is related to the confinement-deconfinement phase transition. We then apply geometric intuition from holography and the Hawking-Page phase transition to motivate the conformal field theory result, and comment on potential extensions to other confining theories. In particular, we show that the corruption of logical information above the threshold can be seen as information being engulfed by a black hole in the dual holographic spacetime in one higher dimension.

*N.B. was supported by the Department of Energy under grant number DE-SC0019380, and is supported by the Computational Science Initiative at Brookhaven National Laboratory, and by the U.S. Department of Energy QuantISED Quantum Telescope award. N.B.and G.Z. acknowledge the support by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Co-design Center for Quantum Advantage (C2QA) under contract number DE-SC0012704. C.C. acknowledges the support by the U.S. Department of Defense and NIST through the Hartree Postdoctoral Fellowship at QuICS.

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Publication: Deconfinement and error thresholds in holography
Ning Bao, ChunJun Cao, and Guanyu Zhu
Phys. Rev. D 106, 046009 – Published 24 August 2022

Presenters

  • ChunJun (Charles) Cao

    • Caltech

Authors

  • ChunJun (Charles) Cao

    • Caltech

  • Ning Bao

    • Brookhaven National Laboratory

  • Guanyu Zhu

    • IBM TJ Watson Research Center