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The need to perform quantum state tomography on ever larger systems has spurred a search for methods that yield good estimates from incomplete data. We study the performance of compressed sensing (CS) and least squares (LS) estimators in a…

Quantum Physics · Physics 2013-03-15 A. Smith , C. A. Riofrío , B. E. Anderson , H. Sosa-Martinez , I. H. Deutsch , P. S. Jessen

We develop a framework that we call compressive rate estimation. We assume that the composite channel gain matrix (i.e. the matrix of all channel gains between all network nodes) is compressible which means it can be approximated by a…

Information Theory · Computer Science 2015-04-29 Jan Schreck , Peter Jung , Sławomir Stańczak

Compressed sensing (CS) is a sampling paradigm that allows to simultaneously measure and compress signals that are sparse or compressible in some domain. The choice of a sensing matrix that carries out the measurement has a defining impact…

Information Theory · Computer Science 2017-08-02 Anastasia Lavrenko , Florian Roemer , Giovanni Del Galdo , Reiner Thomae

Mechanical vibration monitoring often requires high sampling rates and generates large data volumes, posing challenges for storage, transmission, and power efficiency. Compressive Sensing (CS) offers a promising approach to overcome these…

Signal Processing · Electrical Eng. & Systems 2026-03-27 Imen Tounsi , Fadi Karkafi , Mohammed El Badaoui , François Guillet

Given the high degree of computational complexity of the channel estimation technique based on the conventional one-dimensional (1-D) compressive sensing (CS) framework employed in the hybrid beamforming architecture, this study proposes…

Signal Processing · Electrical Eng. & Systems 2022-07-29 Songjie Yang , Chenfei Xie , Dongli Wang , Zhongpei Zhang

In this paper, we investigate a Bayesian sparse reconstruction algorithm called compressive sensing via Bayesian support detection (CS-BSD). This algorithm is quite robust against measurement noise and achieves the performance of a minimum…

Information Theory · Computer Science 2012-05-15 Jaewook Kang , Heung-No Lee , Kiseon Kim

For an orthogonal frequency-division multiplexing (OFDM) system over a doubly selective (DS) channel, a large number of pilot subcarriers are needed to estimate the numerous channel parameters, resulting in low spectral efficiency. In this…

Signal Processing · Electrical Eng. & Systems 2020-05-05 Qibo Qin , Lin Gui , Bo Gong , Xiang Ren , Wen Chen

Continuous Variable-Based Quantum Cryptography (CV-QKD) is an emerging field in quantum information science, offering unprecedented security for communication protocols by harnessing the principles of quantum mechanics. However, ocean…

Quantum Physics · Physics 2025-02-03 Ramniwas Meena , Subhashish Banerjee

As an alternative to the traditional sampling theory, compressed sensing allows acquiring much smaller amount of data, still estimating the spectra of frequency-sparse signals accurately. However, compressed sensing usually requires random…

Information Theory · Computer Science 2016-07-22 Shan Huang , Hong Sun , Haijian Zhang , Lei Yu

Since the invention of the laser in the 60s, one of the most fundamental communication channels has been the free-space optical channel. For this type of channel, a number of effects generally need to be considered, including diffraction,…

Quantum Physics · Physics 2022-02-11 Masoud Ghalaii , Stefano Pirandola

Compressive Sensing (CS) theory shows that a signal can be decoded from many fewer measurements than suggested by the Nyquist sampling theory, when the signal is sparse in some domain. Most of conventional CS recovery approaches, however,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-30 Jian Zhang , Debin Zhao , Feng Jiang , Wen Gao

Compressive sensing is a sensing protocol that facilitates reconstruction of large signals from relatively few measurements by exploiting known structures of signals of interest, typically manifested as signal sparsity. Compressive…

Quantum Physics · Physics 2022-08-10 Kyle Sherbert , Naveed Naimipour , Haleh Safavi , Harry Shaw , Mojtaba Soltanalian

We propose a method based on compressed sensing (CS) to measure the evolution processes of the states of a driven cavity quantum electrodynamics system. In precisely reconstructing the coherent cavity field amplitudes, we have to prepare…

Quantum Physics · Physics 2022-07-20 Fang Zhao , Qing Zhao , Dazhi Xu

This paper introduces a novel framework and corresponding methods for sampling and reconstruction of sparse signals in shift-invariant (SI) spaces. We reinterpret the random demodulator, a system that acquires sparse bandlimited signals, as…

Signal Processing · Electrical Eng. & Systems 2022-01-24 Tin Vlašić , Damir Seršić

In this thesis we study the finite-size analysis of two continuous-variables quantum key distribution schemes. The first one is the one-way protocol using Gaussian modulation of thermal states and the other is the…

Quantum Physics · Physics 2019-06-13 Panagiotis Papanastasiou

Free-space ground-to-ground links will be an integral part of future quantum communication networks. The implementation of free-space and fiber links in daylight inter-modal configurations are however still hard to achieve, due to the…

We examine the use of a structured thresholding algorithm for sparse underwater channel estimation using compressed sensing. This method shows some improvements over standard algorithms for sparse channel estimation such as matching…

Applications · Statistics 2010-02-16 Sushil Subramanian

Free-space quantum cryptography plays an integral role in realizing a global-scale quantum internet system. Compared to fiber-based communication networks, free-space networks experience significantly less decoherence and photon loss due to…

Quantum Physics · Physics 2023-05-03 Md Mehdi Hassan , Kazi Reaz , Adrien Green , Noah Crum , George Siopsis

Non-Gaussian operations on two mode squeezed vacuum states (TMSV) in continuous variable measurement device independent quantum key distribution (CV-MDI-QKD) protocols have been shown to effectively increase the total transmission distances…

Quantum Physics · Physics 2019-12-04 Chandan Kumar , Jaskaran Singh , Soumyakanti Bose , Arvind

Due to their compatibility to existing telecom technology, continuous variable (CV) weak coherent state protocols are promising candidates for a broad deployment of quantum key distribution (QKD) technology. We demonstrate how an existing…

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