A model for quantum queue

TL;DR

This paper extends classical queueing models to the quantum domain using Discrete Time Quantum Markov Chains, providing numerical analysis methods and demonstrating fundamental behavioral differences from classical queues.

Contribution

It introduces a quantum queueing model based on Discrete Time Quantum Markov Chains and develops numerical analysis techniques for studying its properties.

Findings

Quantum queues behave fundamentally differently from classical queues

New numerical methods for analyzing quantum queue models

Demonstration of distinct quantum queue dynamics

Abstract

We consider an extension of Discrete Time Markov Chain queueing model to the quantum domain by use of Discrete Time Quantum Markov Chain. We introduce methods for numerical analysis of such models. Using this tools we show that quantum model behaves fundamentally differently from the classical one.