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.
Original language | English |
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Article number | 013157 |
Number of pages | 6 |
Journal | Physical Review Research |
Volume | 6 |
DOIs | |
Publication status | Published - 13 Feb 2024 |
Keywords
- quant-ph
- hep-th
- math-ph
- math.MP