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Tight lower and upper bounds on the ratio of relative entropies of two probability distributions with respect to a common third one are established, where the three distributions are collinear in the standard $(n-1)$-simplex. These bounds…

信息论 · 计算机科学 2018-05-31 Shengtian Yang , Jun Chen

For information transmission a binary symmetric channel is used. There is also another noisy binary symmetric channel (feedback channel), and the transmitter observes without delay all the outputs of the forward channel via that feedback…

信息论 · 计算机科学 2010-11-10 M. V. Burnashev , H. Yamamoto

Quantum states naturally decay under noise. Many earlier works have quantified and demonstrated lower bounds on the decay rate, showing exponential decay in a wide variety of contexts. Here we study the converse question: are there uniform…

量子物理 · 物理学 2024-01-01 Nicholas Laracuente , Graeme Smith

State-dependent bipartite networks with state-cognizant receivers and state-informed transmitters are studied. Such networks have no nodes that both transmit and receive. Examples are the multi-access channel, the broadcast channel, and the…

信息论 · 计算机科学 2026-04-29 Amos Lapidoth , Baohua Ni , Ligong Wang

We consider a channel with a binary input X being corrupted by a continuous-valued noise that results in a continuous-valued output Y. An optimal binary quantizer is used to quantize the continuous-valued output Y to the final binary output…

信号处理 · 电气工程与系统科学 2020-01-08 Thuan Nguyen , Thinh Nguyen

We consider the capacity of an energy harvesting communication channel with a finite-sized battery. As an abstraction of this problem, we consider a system where energy arrives at the encoder in multiples of a fixed quantity, and the…

信息论 · 计算机科学 2013-05-20 Kaya Tutuncuoglu , Omur Ozel , Aylin Yener , Sennur Ulukus

In many communication networks, the availability of channel state information at various nodes provides an opportunity for network nodes to work together, or "cooperate." This work studies the benefit of cooperation in the multiple access…

信息论 · 计算机科学 2017-07-20 Parham Noorzad , Michelle Effros , Michael Langberg

In this paper, a channel that is contaminated by two independent Gaussian noises $S ~ N(0,Q)$ and $Z_0 ~ N(0,N_0)$ is considered. The capacity of this channel is computed when independent noisy versions of $S$ are known to the transmitter…

信息论 · 计算机科学 2008-06-18 Yong Peng , Dinesh Rajan

Every channel can be expressed as a convex combination of deterministic channels with each deterministic channel corresponding to one particular intrinsic state. Such convex combinations are in general not unique, each giving rise to a…

信息论 · 计算机科学 2020-04-28 Shengtian Yang , Rui Xu , Jun Chen , Jian-Kang Zhang

This paper considers the comparison of noisy channels from the viewpoint of statistical decision theory. Various orderings are discussed, all formalizing the idea that one channel is "better" than another for information transmission. The…

信息论 · 计算机科学 2018-03-09 Francesco Buscemi

We investigate super dense coding in the presence of noise, i.e. the subsystems of the entangled resource state have to pass a noisy unital quantum channel between the sender and the receiver. We discuss explicitly the case of Pauli…

量子物理 · 物理学 2015-05-18 Zahra Shadman , Hermann Kampermann , Chiara Macchiavello , Dagmar Bruss

We begin a systematic study of the problem of the zero--error capacity of noisy binary channels with memory and solve some of the non--trivial cases.

组合数学 · 数学 2016-02-22 Gérard Cohen , Emanuela Fachini , János Körner

The task of determining whether a given quantum channel has positive capacity to transmit quantum information is a fundamental open problem in quantum information theory. In general, the coherent information needs to be computed for an…

量子物理 · 物理学 2022-08-17 Satvik Singh , Nilanjana Datta

We consider a network of two nodes separated by a noisy channel with two-sided state information, in which the input and output signals have to be coordinated with the source and its reconstruction. In the case of non-causal encoding and…

信息论 · 计算机科学 2020-09-04 Giulia Cervia , Laura Luzzi , Maël Le Treust , Matthieu R. Bloch

We consider lossy source coding when side information affecting the distortion measure may be available at the encoder, decoder, both, or neither. For example, such distortion side information can model reliabilities for noisy measurements,…

信息论 · 计算机科学 2014-11-17 Emin Martinian , Gregory W. Wornell , Ram Zamir

The fundamental limits of communication over state-dependent discrete memoryless channels with noiseless feedback are studied, under the assumption that the communicating parties are allowed to use variable-length coding schemes. Various…

信息论 · 计算机科学 2020-08-13 Mladen Kovačević , Carol Wang , Vincent Y. F. Tan

We revisit the problems of state masking and state amplification through the lens of empirical coordination. Specifically, we characterize the rate-equivocation-coordination trade-offs regions of a state-dependent channel in which the…

信息论 · 计算机科学 2020-11-09 Mael Le Treust , Matthieu Bloch

We investigate state estimation of linear systems over channels having a finite state not known by the transmitter or receiver. We show that similar to memoryless channels, zero-error capacity is the right figure of merit for achieving…

系统与控制 · 电气工程与系统科学 2021-10-06 Amir Saberi , Farhad Farokhi , Girish N. Nair

We consider the problem of optimal probing of states of a channel by transmitter and receiver for maximizing rate of reliable communication. The channel is discrete memoryless (DMC) with i.i.d. states. The encoder takes probing actions…

信息论 · 计算机科学 2016-11-15 Himanshu Asnani , Haim Permuter , Tsachy Weissman

The qubit depolarizing channel with noise parameter $\eta$ transmits an input qubit perfectly with probability $1-\eta$, and outputs the completely mixed state with probability $\eta$. We show that its complementary channel has positive…

量子物理 · 物理学 2018-10-03 Debbie Leung , John Watrous
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