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Shor's algorithm is one of the most significant quantum algorithms. Shor's algorithm can factor large integers with a certain success probability in polynomial time. However, Shor's algorithm requires an unbearable amount of qubits in the…

Quantum Physics · Physics 2024-12-16 Ligang Xiao , Daowen Qiu , Le Luo , Paulo Mateus

Shor's algorithm is one of the most important quantum algorithm proposed by Peter Shor [Proceedings of the 35th Annual Symposium on Foundations of Computer Science, 1994, pp. 124--134]. Shor's algorithm can factor a large integer with…

Quantum Physics · Physics 2022-07-14 Ligang Xiao , Daowen Qiu , Le Luo , Paulo Mateus

Distributed algorithms enable private Optimal Power Flow (OPF) computations by avoiding the need in sharing sensitive information localized in algorithms sub-problems. However, adversaries can still infer this information from the…

Optimization and Control · Mathematics 2020-03-23 Vladimir Dvorkin , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

Optimization and Control · Mathematics 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

Recent demands on data privacy have called for federated learning (FL) as a new distributed learning paradigm in massive and heterogeneous networks. Although many FL algorithms have been proposed, few of them have considered the matrix…

Machine Learning · Computer Science 2020-11-02 Shuai Wang , Tsung-Hui Chang

Quantum computers can solve specific complex tasks for which no reasonable-time classical algorithm is known. Quantum computers do however also offer inherent security of data, as measurements destroy quantum states. Using shared entangled…

Quantum Physics · Physics 2022-08-23 Niels M. P. Neumann , Robert S. Wezeman

This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local subproblems via the $\operatorname{argmin}$ operator in each…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

Physical constraints and engineering challenges, including wafer dimensions, classical control cabling, and refrigeration volumes, impose significant limitations on the scalability of quantum computing units. As a result, a modular quantum…

Quantum Physics · Physics 2026-02-27 Hugo Jacinto , Élie Gouzien , Nicolas Sangouard

Quantum query complexity studies the number of queries needed to learn some property of a black box. A closely related question is how well an algorithm can succeed with this learning task using only a fixed number of queries. In this work,…

We investigate how much quantum distributed algorithms can outperform classical distributed algorithms with respect to the message complexity (the overall amount of communication used by the algorithm). Recently, Dufoulon, Magniez and…

Quantum Physics · Physics 2025-10-03 François Le Gall , Maël Luce , Joseph Marchand , Mathieu Roget

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

Optimization and Control · Mathematics 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

The emerging paradigm of distributed quantum computing promises a potential solution to scaling quantum computing to currently unfeasible dimensions. While this approach itself is still in its infancy, and many obstacles must still be…

Quantum Physics · Physics 2026-01-26 Leo Sünkel , Jonas Stein , Maximilian Zorn , Thomas Gabor , Claudia Linnhoff-Popien

Distributed quantum computing relies on coordinated operations between remote quantum processing units (QPUs), yet most existing work either assumes full connectivity, unrealistic for large networks, or relies on entanglement swapping. To…

The usual representation of quantum algorithms is limited to the process of solving the problem. We extend it to the process of setting the problem. Bob, the problem setter, selects a problem-setting by the initial measurement. Alice, the…

Quantum Physics · Physics 2019-10-23 Giuseppe Castagnoli , Eliahu Cohen , Artur Ekert , Avshalom Elitzur

We propose a distributed algorithm for solving the optimization problem Basis Pursuit (BP). BP finds the least L1-norm solution of the underdetermined linear system Ax = b and is used, for example, in compressed sensing for reconstruction.…

Optimization and Control · Mathematics 2012-03-15 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Federated learning is a framework that can learn from distributed networks. It attempts to build a global model based on virtual fusion data without sharing the actual data. Nevertheless, the traditional federated learning process…

Quantum Physics · Physics 2024-04-29 Kai Yu , Fei Gao , Song Lin

We consider the problem of teleporting an unknown information state within a quantum network by a sender, say, Alice to any given receiver out of several receivers, say, Bob(1), Bob(2), ...., Bob(n). For this task, we suggest two schemes…

Quantum Physics · Physics 2012-10-09 Hari Prakash , Ajay K Maurya , Manoj K Mishra

This paper focuses on showing time-message trade-offs in distributed algorithms for fundamental problems such as leader election, broadcast, spanning tree (ST), minimum spanning tree (MST), minimum cut, and many graph verification problems.…

Data Structures and Algorithms · Computer Science 2018-10-09 Robert Gmyr , Gopal Pandurangan

In the real world a graph is often fragmented and distributed across different sites. This highlights the need for evaluating queries on distributed graphs. This paper proposes distributed evaluation algorithms for three classes of queries:…

Databases · Computer Science 2012-08-02 Wenfei Fan , Xin Wang , Yinghui Wu

The recent decades have seen a surge of interests in distributed computing. Existing work focus primarily on either distributed computing platforms, data query tools, or, algorithms to divide big data and conquer at individual machines etc.…

Machine Learning · Statistics 2019-08-01 Donghui Yan , Ying Xu