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arXiv · 2309.09939

Holographic Limitations and Corrections to Quantum Information Protocols

Stefano Pirandola
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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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Stefano Pirandola. 2024-02-14. Holographic Limitations and Corrections to Quantum Information Protocols. https://doi.org/10.1103/physrevresearch.6.013157

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