Holography of Transmission Lines: Insights of Continuous MERA and AdS/CFT
So Katagiri
TL;DR
This paper explores the holographic representation of quantum transmission lines using continuous MERA and AdS/CFT, revealing how their metric relates to circuit inductance and offering insights into quantum circuit control.
Contribution
It introduces a novel holographic framework for quantum transmission lines using cMERA and AdS/CFT, linking circuit inductance to AdS geometry.
Findings
Transmission lines' metric described by circuit inductance
Quantum circuit interactions analyzed in AdS space
Insights into quantum circuit control and complexity
Abstract
This study examines the holographic representation of the quantum theory of transmission lines, which play a crucial role in quantum computing and quantum information. Utilizing Yurke and Denker's quantum circuit network theory within the framework of continuous MERA (cMERA) in AdS space, we analyze the quantization and interactions of transmission lines. The metric is revealed to be described by the inductance of the quantum circuit, which is AdS-space in its 0-limit. These results provide new insights into handling and controlling complex phenomena in quantum circuits, potentially advancing the understanding of quantum computing and quantum communication.
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Taxonomy
TopicsHigh voltage insulation and dielectric phenomena · Thermal Analysis in Power Transmission · Vibration and Dynamic Analysis