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This work explores entanglement-assisted communication, where quantum entanglement resources enable the transmission of classical information at an enhanced rate. We consider a scenario where entanglement is distributed ahead of time based…

Quantum Physics · Physics 2023-08-01 Stephen DiAdamo , Janis Nötzel

A common scenario in distributed computing involves a client who asks a server to perform a computation on a remote computer. An important problem is to determine the minimum amount of communication needed to specify the desired…

Quantum Physics · Physics 2020-10-27 Yuxiang Yang , Giulio Chiribella , Masahito Hayashi

We study space-bounded communication complexity for unitary implementation in distributed quantum processors, where we restrict the number of qubits per processor to ensure practical relevance and technical non-triviality. We model…

Quantum Physics · Physics 2025-11-07 Longcheng Li , Xiaoming Sun , Jialin Zhang , Jiadong Zhu

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

We consider the problem of solving a distributed optimization problem using a distributed computing platform, where the communication in the network is limited: each node can only communicate with its neighbours and the channel has a…

Systems and Control · Computer Science 2015-04-10 Ye Pu , Melanie N. Zeilinger , Colin N. Jones

In this work we focus our attention on distributed optimization problems in the context where the communication time between the server and the workers is non-negligible. We obtain novel methods supporting bidirectional compression (both…

Optimization and Control · Mathematics 2023-05-23 Kaja Gruntkowska , Alexander Tyurin , Peter Richtárik

Motivated by the increasing need to understand the algorithmic foundations of distributed large-scale graph computations, we study a number of fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-07 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

Quantum networks are important for quantum communication, enabling tasks such as quantum teleportation, quantum key distribution, quantum sensing, and quantum error correction, often utilizing graph states, a specific class of multipartite…

Quantum Physics · Physics 2025-11-19 Aniruddha Sen , Kenneth Goodenough , Don Towsley

We give lower bounds on the communication complexity required to solve several computational problems in a distributed-memory parallel machine, namely standard matrix multiplication, stencil computations, comparison sorting, and the Fast…

Data Structures and Algorithms · Computer Science 2013-09-24 Michele Scquizzato , Francesco Silvestri

Efficient entanglement distribution is the foundational challenge in realizing large-scale Quantum Networks. However, state-of-the-art solutions are frequently limited by restrictive operational assumptions, prohibitive computational…

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Building large-scale quantum communication networks has its unique challenges. Here, we demonstrate that a network-wide synergistic usage of quantum memories distributed in a quantum communication network offers a fundamental advantage. We…

Quantum Physics · Physics 2025-12-17 Xiangyi Meng , Nicolò Lo Piparo , Kae Nemoto , István A. Kovács

Given the limitations on the number of qubits in current noisy intermediate-scale quantum (NISQ) devices, the implementation of large-scale quantum algorithms on such devices is challenging, prompting research into distributed quantum…

Quantum Physics · Physics 2025-03-04 Xinyu Chen , Zilu Chen , Pengcheng Zhu , Xueyun Cheng , Zhijin Guan

Distributed quantum information processing seeks to overcome the scalability limitations of monolithic quantum devices by interconnecting multiple quantum processing nodes via classical and quantum communication. This approach extends the…

Quantum Physics · Physics 2025-10-20 Johannes Knörzer , Xiaoyu Liu , Benjamin F. Schiffer , Jordi Tura

We prove a direct sum theorem for bounded round entanglement-assisted quantum communication complexity. To do so, we use the fully quantum definition for information cost and complexity that we recently introduced, and use both the fact…

Quantum Physics · Physics 2021-01-01 Dave Touchette

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

We study distributed optimization algorithms for minimizing the average of convex functions. The applications include empirical risk minimization problems in statistical machine learning where the datasets are large and have to be stored on…

Optimization and Control · Mathematics 2016-01-07 Jason D. Lee , Qihang Lin , Tengyu Ma , Tianbao Yang

Quantum computing offers the potential to solve certain complex problems, yet, scaling monolithic processors remains a major challenge. Modular and distributed architectures are proposed to build large-scale quantum systems while bringing…

The Quantum Internet is envisioned as the final stage of the quantum revolution, opening fundamentally new communications and computing capabilities, including the distributed quantum computing. But the Quantum Internet is governed by the…

The All-Pairs Shortest Path problem (APSP) is one of the most central problems in distributed computation. In the CONGEST-CLIQUE model, in which $n$ nodes communicate with each other over a fully connected network by exchanging messages of…

Quantum Physics · Physics 2021-10-05 Taisuke Izumi , François Le Gall