Limits of Distributed Quantum Computing Revealed

Thursday 10 July 2025

A team of researchers has made a significant breakthrough in understanding the limits of distributed quantum computing, shedding light on the complex relationship between classical and quantum algorithms.

Distributed computing is a field that’s all about sharing tasks among multiple processors or computers to solve problems that would be too daunting for one machine alone. But what happens when we add quantum mechanics to the mix? Quantum computers have the potential to solve certain problems much faster than their classical counterparts, but they’re also notoriously tricky to program and control.

The researchers in this study focused on a specific type of problem known as linear programs, which involve finding the optimal solution to a set of equations. Linear programs are used extensively in fields like optimization, machine learning, and resource allocation, so it’s crucial to understand how efficiently we can solve them.

In classical computing, algorithms for solving linear programs typically require a fixed number of steps, regardless of the size of the problem. But quantum computers have the potential to solve these problems much faster, thanks to their ability to perform many calculations simultaneously.

However, the researchers found that there is no distributed quantum advantage for linear programs. In other words, even with multiple quantum processors working together, we can’t solve these problems significantly faster than a single classical processor could.

This result might seem counterintuitive at first, given the potential power of quantum computers. But it’s actually quite intuitive when you think about it. Linear programs are inherently sequential, meaning that each step depends on the previous one. Quantum computers excel at parallel processing, so they’re not well-suited to solving problems that require a strict sequence of steps.

The researchers also found that there is no distributed quantum advantage for locally checkable labeling problems, which involve assigning labels to nodes in a network based on local information. These types of problems are common in fields like computer networks and social networks.

These findings have significant implications for the development of practical quantum computers. While they won’t revolutionize the way we solve linear programs or other sequential problems, they do highlight the importance of understanding the limits of distributed quantum computing.

In a broader sense, this research underscores the complexity and nuance of the relationship between classical and quantum algorithms. As we continue to explore the possibilities of quantum computing, it’s essential that we also understand its limitations and potential applications.

The study’s findings offer a valuable reminder that even in the era of quantum computers, classical computing has its own unique strengths and advantages.

Cite this article: “Limits of Distributed Quantum Computing Revealed”, The Science Archive, 2025.

Quantum Computing, Distributed Computing, Linear Programs, Optimization, Machine Learning, Resource Allocation, Classical Algorithms, Quantum Algorithms, Parallel Processing, Sequential Problems

Reference: Alkida Balliu, Corinna Coupette, Antonio Cruciani, Francesco d’Amore, Massimo Equi, Henrik Lievonen, Augusto Modanese, Dennis Olivetti, Jukka Suomela, “New Limits on Distributed Quantum Advantage: Dequantizing Linear Programs” (2025).

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