Holographic Limitations and Corrections to Quantum Information Protocols

TL;DR

This paper explores how holographic bounds limit quantum information processes like entanglement, teleportation, and communication, revealing fundamental theoretical constraints that challenge some established results in continuous-variable quantum information.

Contribution

It introduces holographic corrections to quantum information protocols, showing their impact on the feasibility and theoretical bounds of quantum teleportation and communication.

Findings

Perfect CV teleportation becomes impossible under holographic bounds

Holographic corrections prevent uniform convergence in teleportation simulation

Revised PLOB bound for quantum communication due to holographic effects

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.