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We demonstrate a state reconstruction technique which provides either the Wigner function or the density matrix of a field mode and requires only avalanche photodetectors, without any phase or amplitude discrimination power. It represents…

We demonstrate the simultaneous quantum state reconstruction of the spectral modes of the light field emitted by a continuous wave degenerate optical parametric amplifier. The scheme is based on broadband measurement of the quantum…

Quantum Physics · Physics 2009-10-31 Gerd Breitenbach , Fabrizio Illuminati , Stephan Schiller , Jurgen Mlynek

Normal reconstruction is crucial in non-line-of-sight (NLOS) imaging, as it provides key geometric and lighting information about hidden objects, which significantly improves reconstruction accuracy and scene understanding. However, jointly…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Xueying Liu , Lianfang Wang , Jun Liu , Yong Wang , Yuping Duan

We introduce a framework for the reconstruction and representation of functions in a setting where these objects cannot be directly observed, but only indirect and noisy measurements are available, namely an inverse problem setting. The…

Methodology · Statistics 2020-09-15 Eardi Lila , Simon Arridge , John A. D. Aston

The modes of the electromagnetic field are solutions of Maxwell's equations taking into account the material boundary conditions. The field modes of classical optics - properly normalized - are also the mode functions of quantum optics.…

Quantum Physics · Physics 2014-11-27 Birgit Stiller , Ulrich Seyfarth , Gerd Leuchs

Quantum metrology overcomes standard precision limits by exploiting collective quantum superpositions of physical systems used for sensing, with the prominent example of non-classical multiphoton states improving interferometric techniques.…

Multimode photon-subtraction provides an experimentally feasible option to construct large non-Gaussian quantum states in continuous-variable quantum optics. The non-Gaussian features of the state can lead towards the more exotic aspects of…

Quantum Physics · Physics 2019-08-28 Mattia Walschaers , Young-Sik Ra , Nicolas Treps

We propose and experimentally demonstrate an efficient image decomposition in the Laguerre-Gaussian (LG) domain. By developing an advanced computing method, the sampling points are much fewer than those in the existing methods, which can…

Image and Video Processing · Electrical Eng. & Systems 2020-05-19 Jiantao Ma , Dan Wei , Haocheng Yang , Yong Zhang , Min Xiao

We consider the problem of reconstructing a signal from under-determined modulo observations (or measurements). This observation model is inspired by a (relatively) less well-known imaging mechanism called modulo imaging, which can be used…

Machine Learning · Statistics 2019-07-18 Viraj Shah , Chinmay Hegde

We present a general linear algorithm for measuring the surface mass density 1-\kappa from the observable reduced shear g=\gamma/(1-\kappa) in the strong lensing regime. We show that in general, the observed polarization field can be…

Astrophysics · Physics 2009-10-31 Ue-Li Pen

Lensless imaging offers a lightweight, compact alternative to traditional lens-based systems, ideal for exploration in space-constrained environments. However, the absence of a focusing lens and limited lighting in such environments often…

Image and Video Processing · Electrical Eng. & Systems 2025-01-14 Ziyang Liu , Tianjiao Zeng , Xu Zhan , Xiaoling Zhang , Edmund Y. Lam

We propose a new technique to measure the time delay of radio-loud gravitational lens systems, which does not rely on the excessive use of interferometric observations. Instead, the method is based on single-dish flux density monitoring of…

Astrophysics · Physics 2015-06-24 Bernhard Geiger , Peter Schneider

In order to achieve fault-tolerant quantum computing, we make use of quantum error correction schemes designed to protect the logical information of the system from decoherence. A promising way to preserve such information is to use the…

Quantum Physics · Physics 2025-10-27 Marc-Antoine Roy , Thomas Pousset , Baptiste Royer

Tomographic reconstruction, despite its revolutionary impact on a wide range of applications, suffers from its ill-posed nature in that there is no unique solution because of limited and noisy measurements. Therefore, in the absence of…

Applications · Statistics 2023-04-10 Agnimitra Dasgupta , Carlo Graziani , Zichao Wendy Di

A new reconstruction method for Wigner function is reported for quantum tomography based on compressed sensing. By analogy with computed tomography, Wigner functions for some quantum states can be reconstructed with less measurements…

Quantum Physics · Physics 2011-09-06 Jia-Ning Zhang , Lei Fang , Mo-Lin Ge

We present a study dealing with a novel phase reconstruction method based on iterated Hilbert transform embeddings. We show results for the Stuart-Landau oscillator observed by generic observables. The benefits for reconstruction of the…

Numerical Analysis · Mathematics 2020-04-29 Erik Gengel , Arkady Pikovsky

I present a simple and robust method of quantum state reconstruction using non-ideal detectors able to distinguish only between presence and absence of photons. Using the scheme, one is able to determine a value of Wigner function in any…

Quantum Physics · Physics 2007-05-23 D. Mogilevtsev

We present a continuous variable tomography scheme that reconstructs the Husimi Q-function (Wigner function) by Lagrange interpolation, using measurements of the Q-function (Wigner function) at the Padua points, the optimal sampling points…

Quantum Physics · Physics 2018-03-07 Olivier Landon-Cardinal , Luke C. G. Govia , Aashish A. Clerk

Spectral reconstruction is a well studied numerically ill-posed problem which arises due to the relation of the Euclidean correlator to the spectral function via an inhomogeneous Fredholm equation of the first kind. Several different…

High Energy Physics - Lattice · Physics 2026-03-20 C. Andratschke , B. B. Brandt , E. Garnacho-Velasco , L. Pannullo , S. Singh , A. Dean M. Valois

Quantum models based on few-mode Master equations have been a central tool in the study of resonator quantum electrodynamics, extending the seminal single-mode Jaynes-Cummings model to include loss and multiple modes. Despite their broad…

Quantum Physics · Physics 2023-07-03 Dominik Lentrodt , Oliver Diekmann , Christoph H. Keitel , Stefan Rotter , Jörg Evers