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相关论文: Polar Decomposition of Mutual Information over Com…

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Recent studies have shown that quantum information may be effectively transmitted by a finite collection of completely depolarizing channels in a coherent superposition of different orders, via an operation known as the quantum $\tt…

量子物理 · 物理学 2024-07-04 Zhen Wu , James Fullwood , Zhihao Ma , Siqi Zhou , Qi Zhao , Giulio Chiribella

We exploit the redundancy of the language-based source to help polar decoding. By judging the validity of decoded words in the decoded sequence with the help of a dictionary, the polar list decoder constantly detects erroneous paths after…

信息论 · 计算机科学 2020-07-24 Ying Wang , Minghai Qin , Krishna R. Narayanan , Anxiao Jiang , Zvonimir Bandic

We construct a new secret-key assisted polar coding scheme for private classical communication over a quantum or classical wiretap channel. The security of our scheme rests on an entropic uncertainty relation, in addition to the channel…

量子物理 · 物理学 2013-03-26 Mark M. Wilde , Joseph M. Renes

Synchronization of coupled oscillators is a paradigm for complexity in many areas of science and engineering. Any realistic network model should include noise effects. We present a description in terms of phase and amplitude deviation for…

适应与自组织系统 · 物理学 2019-05-09 Michele Bonnin , Fernando Corinto , Valentina Lanza

There are now several works on the use of the additive inverse Gaussian noise (AIGN) model for the random transit time in molecular communication~(MC) channels. The randomness invariably causes inter-symbol interference (ISI) in MC, an…

信息论 · 计算机科学 2015-09-01 Siavash Ghavami , Raviraj Adve , Farshad Lahouti

We consider the well-studied problem of decomposing a vector time series signal into components with different characteristics, such as smooth, periodic, nonnegative, or sparse. We describe a simple and general framework in which the…

机器学习 · 计算机科学 2022-09-21 Bennet E. Meyers , Stephen P. Boyd

We propose new compressive parameter estimation algorithms that make use of polar interpolation to improve the estimator precision. Our work extends previous approaches involving polar interpolation for compressive parameter estimation in…

信息论 · 计算机科学 2016-11-17 Karsten Fyhn , Marco F. Duarte , Søren Holdt Jensen

Oscillatory systems arise in the different science fields. Complex mathematical formulations with differential equations have been proposed to model the dynamics of these systems. While they have the advantage of having a direct…

神经元与认知 · 定量生物学 2022-05-02 Cristina Rueda , Alejandro Rodríguez-Collado , Yolanda Larriba

An approach to selecting information indices for polar codes is proposed to form signals with spectral comb shapes under BPSK modulation, whereby the signal could be separated from periodic interference in spectrum. By confining information…

信息论 · 计算机科学 2026-04-02 Yinuo Mei , Daiming Qu

This thesis examins a generalisation of polar decompositions to indefinite inner product spaces. The necessary general theory is studied and some general results are given. The main part of the thesis focuses on polar decompositions with…

环与代数 · 数学 2020-05-06 Julian Kern

This article presents a novel transmission scheme for the unsourced, uncoordinated Gaussian multiple access problem. The proposed scheme leverages notions from single-user coding, random spreading, minimum-mean squared error (MMSE)…

Loop amplitudes are conveniently expressed in terms of master integrals whose coefficients carry the process dependent information. Similarly before integration, the loop integrands may be expressed as a linear combination of propagator…

高能物理 - 理论 · 物理学 2016-12-28 Harald Ita

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

Non-orthogonal multiple access (NOMA) is one of the key techniques to address the high spectral efficiency and massive connectivity requirements for the fifth generation (5G) wireless system. To efficiently realize NOMA, we propose a joint…

信息论 · 计算机科学 2018-02-14 Jincheng Dai , Kai Niu , Zhongwei Si , Chao Dong , Jiaru Lin

The polar decomposition for a matrix $A$ is $A=UB$, where $B$ is a positive Hermitian matrix and $U$ is unitary (or, if $A$ is not square, an isometry). This paper shows that the ability to apply a Hamiltonian $\pmatrix{ 0 & A^\dagger \cr A…

Multivariate information decompositions hold promise to yield insight into complex systems, and stand out for their ability to identify synergistic phenomena. However, the adoption of these approaches has been hindered by there being…

信息论 · 计算机科学 2020-12-02 Fernando Rosas , Pedro Mediano , Borzoo Rassouli , Adam Barrett

In this paper, we investigate the signal shaping in a two-user discrete time memoryless Gaussian multiple-access channel (MAC) with computation. It is shown that by optimizing input probability distribution, the transmission rate per…

信息论 · 计算机科学 2017-01-26 Zhiyong Chen , Hui Liu

Partial information decomposition allows the joint mutual information between an output and a set of inputs to be divided into components that are synergistic or shared or unique to each input. We consider five different decompositions and…

信息论 · 计算机科学 2022-08-10 Jim W. Kay , Jan M. Schulz , W. A. Phillips

The Depolarizing channel is one of the most important noise models and constitutes a reliable benchmark for the quantum information field. In this work, we present a simple way to emulate a Depolarizing channel by exploring a maximally non…

量子物理 · 物理学 2026-02-19 G. Tiago , V. S. Lamego , M. H. M. Passos , W. F. Balthazar , J. A. O. Huguenin

A flexible incremental redundancy hybrid auto- mated repeat request (IR-HARQ) scheme for polar codes is proposed based on dynamically frozen bits and the quasi-uniform puncturing (QUP) algorithm. The length of each transmission is not…

信息论 · 计算机科学 2018-05-21 Peihong Yuan , Fabian Steiner , Tobias Prinz , Georg Böcherer