Holographic Limitations and Corrections to Quantum Information Protocols

• URL: http://arxiv.org/abs/2309.09939v4
• Date: Wed, 14 Feb 2024 10:47:08 GMT
• Title: Holographic Limitations and Corrections to Quantum Information Protocols
• Authors: Stefano Pirandola
• Abstract summary: We discuss the limitations imposed on entanglement distribution, quantum teleportation, and quantum communication by holographic bounds. For continuous-variable (CV) quantum information, we show how the naive application of holographic corrections disrupts well-established results.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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