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相关论文: On the distributed compression of quantum informat…

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We devise achievable encoding schemes for distributed source compression for computing inner products, symmetric matrix products, and more generally, square matrix products, which are a class of nonlinear transformations. To that end, our…

信息论 · 计算机科学 2024-05-21 Derya Malak

In this paper, the distributed strongly convex optimization problem is studied with spatio-temporal compressed communication and equality constraints. For the case where each agent holds an distributed local equality constraint, a…

系统与控制 · 电气工程与系统科学 2025-03-05 Zihao Ren , Lei Wang , Zhengguang Wu , Guodong Shi

We show how to efficiently simulate the sending of a message M to a receiver who has partial information about the message, so that the expected number of bits communicated in the simulation is close to the amount of additional information…

信息论 · 计算机科学 2011-06-21 Mark Braverman , Anup Rao

Variational inequalities as an effective tool for solving applied problems, including machine learning tasks, have been attracting more and more attention from researchers in recent years. The use of variational inequalities covers a wide…

最优化与控制 · 数学 2024-12-20 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov

Information compression is essential to reduce communication cost in distributed optimization over peer-to-peer networks. This paper proposes a communication-efficient linearly convergent distributed (COLD) algorithm to solve strongly…

最优化与控制 · 数学 2021-05-17 Jiaqi Zhang , Keyou You , Lihua Xie

Consider a source E of pure quantum states with von Neumann entropy S. By the quantum source coding theorem, arbitrarily long strings of signals may be encoded asymptotically into S qubits/signal (the Schumacher limit) in such a way that…

量子物理 · 物理学 2007-05-23 Howard Barnum , Patrick Hayden , Richard Jozsa , Andreas Winter

This paper examines the theory pertaining to lossless compression of correlated sources located at the edge of a network. Importantly, communication between nodes is prohibited. In particular, a method that combines correlated source coding…

信息论 · 计算机科学 2020-03-25 Benjamin Rosen , Shane House , Shamin Achari , Ling Cheng

We consider lossy compression of an information source when the decoder has lossless access to a correlated one. This setup, also known as the Wyner-Ziv problem, is a special case of distributed source coding. To this day, real-world…

信息论 · 计算机科学 2023-05-09 Ezgi Ozyilkan , Johannes Ballé , Elza Erkip

We consider lossy compression of an information source when the decoder has lossless access to a correlated one. This setup, also known as the Wyner-Ziv problem, is a special case of distributed source coding. To this day, practical…

信息论 · 计算机科学 2024-05-22 Ezgi Ozyilkan , Johannes Ballé , Elza Erkip

Correlated sources are present in communication systems where protocols ensure that there is some predetermined information for sources. Here correlated sources across an eavesdropped channel that incorporate a heterogeneous encoding scheme…

信息论 · 计算机科学 2015-01-26 R Balmahoon , L Cheng

In the quantum compression scheme proposed by Schumacher, Alice compresses a message that Bob decompresses. In that approach, there is some probability of failure and, even when successful, some distortion of the state. For sufficiently…

量子物理 · 物理学 2024-03-01 Jack Weinberg , Avijit Mandal , Henry D. Pfister

Distributed source coding (DSC) is the task of encoding an input in the absence of correlated side information that is only available to the decoder. Remarkably, Slepian and Wolf showed in 1973 that an encoder without access to the side…

信息论 · 计算机科学 2024-07-02 Jay Whang , Alliot Nagle , Anish Acharya , Hyeji Kim , Alexandros G. Dimakis

We consider the problem of (almost) lossless source coding of two correlated memoryless sources using separate encoders and a joint decoder, that is, Slepian-Wolf (S-W) coding. In our setting, the encoding and decoding are asynchronous,…

信息论 · 计算机科学 2020-07-28 Neri Merhav

We address the problem of distributed computation of arbitrary functions of two correlated sources $X_1$ and $X_2$, residing in two distributed source nodes, respectively. We exploit the structure of a computation task by coding source…

信息论 · 计算机科学 2025-04-23 Mohammad Reza Deylam Salehi , Derya Malak

We prove a lower bound on the information leakage of any classical protocol computing the equality function in the simultaneous message passing (SMP) model. Our bound is valid in the finite length regime and is strong enough to demonstrate…

计算复杂性 · 计算机科学 2016-07-27 Juan Miguel Arrazola , Dave Touchette

Quantum simulation is a promising pathway toward practical quantum advantage by simulating large-scale quantum systems. In this work, we propose communication-efficient distributed quantum simulation protocols by exploring three quantum…

量子物理 · 物理学 2024-11-06 Tianfeng Feng , Jue Xu , Wenjun Yu , Zekun Ye , Penghui Yao , Qi Zhao

Consider many instances of an arbitrary quadripartite pure state of four quantum systems ABCD. Alice holds the AC part of each state, Bob holds B, while D represents all other parties correlated with ABC. Alice is required to redistribute…

量子物理 · 物理学 2020-09-29 Jon Yard , Igor Devetak

The framework of distributed computing, consisting of several spatially separated input-output servers, has immense importance in distant data manipulation. One of the most challenging parts of this setting is to optimize the use of…

量子物理 · 物理学 2023-04-11 Sutapa Saha , Tamal Guha , Some Sankar Bhattacharya , Manik Banik

Understanding the non-Markovian mechanisms underlying the revivals of quantum entanglement in the presence of classical environments is central in the theory of quantum information. Tentative interpretations have been given by either the…

This paper considers distributed nonconvex optimization with the cost functions being distributed over agents. Noting that information compression is a key tool to reduce the heavy communication load for distributed algorithms as agents…

最优化与控制 · 数学 2022-10-10 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson