Channel capacity of relativistic quantum communication with rapid interaction

• URL: http://arxiv.org/abs/2202.12301v5
• Date: Tue, 30 May 2023 18:26:57 GMT
• Title: Channel capacity of relativistic quantum communication with rapid interaction
• Authors: Erickson Tjoa and Kensuke Gallock-Yoshimura
• Abstract summary: We study nonperturbatively the transmission of classical and quantum information in globally hyperbolic spacetimes. We show that when both detectors interact via delta-coupling, one can arrange and tune the detectors so that the channel capacity is as good as the quantum channel constructed nonperturbatively.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work we study nonperturbatively the transmission of classical and quantum information in globally hyperbolic spacetimes, where the communication channel is between two qubit detectors interacting with a quantized massless scalar field via delta-coupling interaction. This interaction approximates very rapid detector-field interaction, effectively occurring at a single instant in time for each detector. We show that when both detectors interact via delta-coupling, one can arrange and tune the detectors so that the channel capacity is (at least) as good as the quantum channel constructed nonperturbatively using \textit{gapless detectors} by Landulfo [PRD 93, 104019]. Furthermore, we prove that this channel capacity is in fact optimal, i.e., both nonperturbative methods give essentially the same channel capacity, thus there is a sense in which the two methods can be regarded as equivalent as far as relativistic quantum communication is concerned.

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