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In this paper, a diffusion-based molecular communication channel between two nano-machines is considered. The effect of the amount of memory on performance is characterized, and a simple memory-limited decoder is proposed and its…

Biological Physics · Physics 2014-05-05 Reza Mosayebi , Hamidreza Arjmandi , Amin Gohari , Masoumeh Nasiri Kenari , Urbashi Mitra

We consider the problem of modulation and estimation of a random parameter $U$ to be conveyed across a discrete memoryless channel. Upper and lower bounds are derived for the best achievable exponential decay rate of a general moment of the…

Information Theory · Computer Science 2016-11-17 Neri Merhav

Oblivious transfer is a fundamental cryptographic primitive in which Bob transfers one of two bits to Alice in such a way that Bob cannot know which of the two bits Alice has learned. We present an optimal security bound for quantum…

Quantum Physics · Physics 2016-08-31 André Chailloux , Gus Gutoski , Jamie Sikora

In this paper, we analyze the performance of randomized benchmarking protocols on gate sets under a variety of realistic error models that include systematic rotations, amplitude damping, leakage to higher levels, and 1/f noise. We find…

Quantum Physics · Physics 2014-07-08 Jeffrey M. Epstein , Andrew W. Cross , Easwar Magesan , Jay M. Gambetta

This paper considers the sequential composite hypothesis test with multiple sensors. The sensors observe random samples in parallel and communicate with a fusion center, who makes the global decision based on the sensor inputs. On one hand,…

Applications · Statistics 2018-04-17 Shang Li , Xiaoou Li , Xiaodong Wang , Jingchen Liu

The ultimate limits of quantum state discrimination are often thought to be captured by asymptotic bounds that restrict the achievable error probabilities, notably the quantum Chernoff and Hoeffding bounds. Here we study hypothesis testing…

Quantum Physics · Physics 2025-12-10 Kaiyuan Ji , Bartosz Regula

Since 1984, various optical quantum key distribution (QKD) protocols have been proposed and examined. In all of them, the rate of secret key generation decays exponentially with distance. A natural and fundamental question is then whether…

Quantum Physics · Physics 2016-03-29 Masahiro Takeoka , Saikat Guha , Mark M. Wilde

We consider a multi-hop distributed hypothesis testing problem with multiple decision centers (DCs) for testing against independence and where the observations obey some Markov chain. For this system, we characterize the fundamental type-II…

Information Theory · Computer Science 2022-08-31 Mustapha Hamad , Michèle Wigger , Mireille Sarkiss

In this paper we study the inherent trade-off between time and communication complexity for the distributed consensus problem. In our model, communication complexity is measured as the maximum data throughput (in bits per second) sent…

Systems and Control · Computer Science 2014-10-07 Federico Rossi , Marco Pavone

We present a communication-efficient distributed protocol for computing the Babai point, an approximate nearest point for a random vector ${\bf X}\in\mathbb{R}^n$ in a given lattice. We show that the protocol is optimal in the sense that it…

Information Theory · Computer Science 2020-09-01 Maiara F. Bollauf , Vinay A. Vaishampayan , Sueli I. R. Costa

We investigate an encoding scheme for lossy compression of a binary symmetric source based on simple spatially coupled Low-Density Generator-Matrix codes. The degree of the check nodes is regular and the one of code-bits is Poisson…

Information Theory · Computer Science 2015-06-12 Vahid Aref , Nicolas Macris , Marc Vuffray

This paper studies the shuffling phase in a distributed computing model with rate-limited links between nodes. Each node is connected to all other nodes via a noiseless broadcast link with a finite capacity. For this network, the shuffling…

Information Theory · Computer Science 2024-05-07 Shanuja Sasi , Onur Günlü

In this paper, we investigate the quantization of the output of a binary input discrete memoryless channel that maximizing the mutual information between the input and the quantized output under an entropy-constrained of the quantized…

Information Theory · Computer Science 2020-01-08 Thuan Nguyen , Thinh Nguyen

In this paper, we address hypothesis testing in a distributed network of nodes, where each node has only partial information about the State of the World (SotW) and is tasked with determining which hypothesis, among a given set, is most…

Information Theory · Computer Science 2025-02-11 Ahmet Faruk Saz , Siheng Xiong , Faramarz Fekri

We address the self-stabilizing bit-dissemination problem, designed to capture the challenges of spreading information and reaching consensus among entities with minimal cognitive and communication capacities. Specifically, a group of $n$…

Multiagent Systems · Computer Science 2024-10-10 Niccolò D'Archivio , Robin Vacus

We study the inference problem in the group testing to identify defective items from the perspective of the decision theory. We introduce Bayesian inference and consider the Bayesian optimal setting in which the true generative process of…

Information Theory · Computer Science 2021-10-22 Ayaka Sakata , Yoshiyuki Kabashima

We study distribution testing in the standard access model and the conditional access model when the memory available to the testing algorithm is bounded. In both scenarios, the samples appear in an online fashion and the goal is to test…

Data Structures and Algorithms · Computer Science 2023-09-08 Sampriti Roy , Yadu Vasudev

We derive a new upper bound on the reliability function for channel coding over discrete memoryless channels. Our bounding technique relies on two main elements: (i) adding an auxiliary genie-receiver that reveals to the original receiver a…

Information Theory · Computer Science 2022-09-05 Anelia Somekh-Baruch

The inference of Neural Networks is usually restricted by the resources (e.g., computing power, memory, bandwidth) on edge devices. In addition to improving the hardware design and deploying efficient models, it is possible to aggregate the…

Machine Learning · Computer Science 2021-11-05 Jun-Liang Lin , Sheng-De Wang

The transmission rate, delivery reliability and network lifetime are three fundamental but conflicting design objectives in energy-constrained wireless sensor networks. In this paper, we address the optimal rate-reliability-lifetime…

Networking and Internet Architecture · Computer Science 2013-03-18 Weiqiang Xu , Qingjiang Shi , Xiaoyun Wei , Yaming Wang