Holographic Limitations and Corrections to Quantum Information Protocols

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We discuss the limitations imposed on entanglement distribution, quantum teleportation, and quantum communication by holographic bounds, such as the Bekenstein bound and Susskind's spherical entropy bound. For continuous-variable (CV) quantum information, we show how the naive application of holographic corrections disrupts well-established results. These corrections render perfect CV teleportation impossible, preclude uniform convergence in the teleportation simulation of lossy quantum channels, and impose a revised PLOB bound for quantum communication. While these mathematical corrections do not immediately impact practical quantum technologies, they are critical for a deeper theoretical understanding of quantum information theory.
Original languageEnglish
Article number013157
Number of pages6
JournalPhysical Review Research
Publication statusPublished - 13 Feb 2024


  • quant-ph
  • hep-th
  • math-ph
  • math.MP

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