Energy transport and optimal design of noisy Platonic quantum networks

TL;DR

This paper investigates optimal energy transport in noisy three-dimensional quantum networks with Platonic geometries, identifying designs that maximize transport efficiency under environmental noise for potential quantum circuit applications.

Contribution

It introduces a method to determine optimal network configurations for energy transport in Platonic quantum networks affected by noise, a novel approach for such geometries.

Findings

Optimal network configurations identified for various Platonic geometries.

Transport efficiency maximized under specific environmental noise conditions.

Potential applications in quantum switching and multiplexing.

Abstract

Optimal transport is one of the primary goals for designing efficient quantum networks. In this work, the maximum transport is investigated for three-dimensional quantum networks with Platonic geometries affected by dephasing and dissipative Markovian noise. The network and the environmental characteristics corresponding the optimal design are obtained and investigated for five Platonic networks with 4, 6, 8, 12, and 20 number of sites that one of the sites is connected to a sink site through a dissipative process. Such optimal designs could have various applications like switching and multiplexing in quantum circuits.