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A new converse bound is presented for the two-user multiple-access channel under the average probability of error constraint. This bound shows that for most channels of interest, the second-order coding rate -- that is, the difference…

信息论 · 计算机科学 2021-10-04 Oliver Kosut

Distinguishability is fundamental to information theory and extends naturally to quantum systems. While quantum state discrimination is well understood, quantum channel discrimination remains challenging due to the dynamic nature of…

量子物理 · 物理学 2025-07-15 Kun Fang , Gilad Gour , Xin Wang

A new lower bound for the average probability or error for a two-user discrete memoryless (DM) multiple-access channel (MAC) is derived. This bound has a structure very similar to the well-known sphere packing packing bound derived by…

信息论 · 计算机科学 2010-10-08 Ali Nazari , S. Sandeep Pradhan , Achilleas Anastasopoulos

This paper presents an achievability bound that evaluates the exact probability of error of an ensemble of random codes that are decoded by a minimum distance decoder. Compared to the state-of-the-art which demands exponential computation…

信息论 · 计算机科学 2023-05-17 Ioannis Papoutsidakis , Angela Doufexi , Robert J. Piechocki

Digital-analog is a universal quantum computing paradigm which employs the natural entangling Hamiltonian of the system and single-qubit gates as resources. Here, we study the stability of these protocols against Hamiltonian…

量子物理 · 物理学 2026-03-10 Mikel Garcia-de-Andoin , Alatz Álvarez-Ahedo , Adrián Franco-Rubio , Mikel Sanz

Quantum channel discrimination is a fundamental task in quantum information processing. In the one-shot regime, discrimination between two candidate channels is characterized by the diamond norm. Beyond this basic setting, however, many…

量子物理 · 物理学 2026-03-13 Chengkai Zhu , Shuyu He , Gereon Koßmann , Xin Wang

Hypothesis exclusion is an information-theoretic task in which an experimenter aims at ruling out a false hypothesis from a finite set of known candidates, and an error occurs if and only if the hypothesis being ruled out is the ground…

量子物理 · 物理学 2026-05-28 Kaiyuan Ji , Hemant K. Mishra , Milán Mosonyi , Mark M. Wilde

This paper investigates achievable information rates and error exponents of mismatched decoding when the channel belongs to the class of channels that are close to the decoding metric in terms of relative entropy. For both discrete- and…

信息论 · 计算机科学 2025-05-28 Priyanka Patel , Francesc Molina , Albert Guillén i Fàbregas

In this paper, we study the capacity of the diamond channel. We focus on the special case where the channel between the source node and the two relay nodes are two separate links with finite capacities and the link from the two relay nodes…

信息论 · 计算机科学 2015-01-23 Wei Kang , Nan Liu , Weiwei Chong

Fingerprinting arguments, first introduced by Bun, Ullman, and Vadhan (STOC 2014), are the most widely used method for establishing lower bounds on the sample complexity or error of approximately differentially private (DP) algorithms.…

密码学与安全 · 计算机科学 2024-07-08 Naty Peter , Eliad Tsfadia , Jonathan Ullman

Optimal rates for achieving an information processing task are often characterized in terms of regularized information measures. In many cases of quantum tasks, we do not know how to compute such quantities. Here, we exploit the symmetries…

量子物理 · 物理学 2023-08-25 Omar Fawzi , Ala Shayeghi , Hoang Ta

Quantum Channel Discrimination (QCD) presents a fundamental task in quantum information theory, with critical applications in quantum reading, illumination, data-readout and more. The extension to multiple quantum channel discrimination has…

量子物理 · 物理学 2021-05-12 Cillian Harney , Leonardo Banchi , Stefano Pirandola

This work examines the use of two-way training to efficiently discriminate the channel estimation performances at a legitimate receiver (LR) and an unauthorized receiver (UR) in a multiple-input multiple-output (MIMO) wireless system. This…

信息论 · 计算机科学 2015-06-12 Chao-Wei Huang , Tsung-Hui Chang , Xiangyun Zhou , Y. -W. Peter Hong

The diamond norm plays an important role in quantum information and operator theory. Recently, it has also been proposed as a regularizer for low-rank matrix recovery. The norm constants that bound the diamond norm in terms of the nuclear…

信息论 · 计算机科学 2018-10-23 Ulrich Michel , Martin Kliesch , Richard Kueng , David Gross

Anomaly detection (AD) is increasingly recognized as a key component for ensuring the resilience of future communication systems. While deep learning has shown state-of-the-art AD performance, its application in critical systems is hindered…

机器学习 · 计算机科学 2025-10-29 Lukas Schynol , Marius Pesavento

We consider a molecular channel, in which messages are encoded to the frequency of objects in a pool, and whose output during reading time is a noisy version of the input frequencies, as obtained by sampling with replacement from the pool.…

信息论 · 计算机科学 2025-04-28 Ran Tamir , Nir Weinberger

In this paper, rate adaptive coded Digital Phase Modulation (DPM) schemes based on punctured ring convolutional codes are presented. We first present an upper bound on symbol error probability for punctured convolutional coded Continuous…

信号处理 · 电气工程与系统科学 2018-08-02 Yang Liu , Zihuai Lin

Encoding schemes and error-correcting codes are widely used in information technology to improve the reliability of data transmission over real-world communication channels. Quantum information protocols can further enhance the performance…

The present paper considers leveraging network topology information to improve the convergence rate of ADMM for decentralized optimization, where networked nodes work collaboratively to minimize the objective. Such problems can be solved…

最优化与控制 · 数学 2019-05-28 Meng Ma , Bingcong Li , Georgios B. Giannakis

Protocols for discriminating between a pair of channels or for estimating a channel parameter can often be aided by adaptivity or by entanglement between the probe states. This can make it difficult to bound the best possible performance…

量子物理 · 物理学 2021-10-07 Jason L. Pereira , Leonardo Banchi , Stefano Pirandola