Controversy of quantum congestion in two-particle quantum walks

TL;DR

This paper investigates quantum congestion in two-particle quantum walks on a Braess-like graph, comparing bosonic and fermionic states to understand how quantum statistics influence network transport efficiency.

Contribution

It introduces a comparative analysis of bosonic and fermionic quantum walks on complex graphs to explore congestion phenomena in quantum networks.

Findings

Transport efficiency depends similarly on graph parameters for both bosons and fermions.

Quantum statistics influence congestion but do not drastically alter overall efficiency.

Quantum congestion effects are analyzed in a simple non-interacting particle model.

Abstract

The article deals with one- and two-particle quantum walks on a graph with Braess-like topology and analyzes the issue of network congestion in the quantum world. Our approach to the study of congestion in quantum networks is based on the comparison of the evolution of bosonic and fermionic many-particle states. We consider a simple example of non-interacting particles, where one can expect the appearance of congestion in the fermion case due to the Pauli principle. It is shown that dependence of the transport efficiency on the parameters of quantum graph is similar in the bosonic and fermionic cases.