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Image noise can often be accurately fitted to a Poisson-Gaussian distribution. However, estimating the distribution parameters from a noisy image only is a challenging task. Here, we study the case when paired noisy and noise-free samples…

Computer Vision and Pattern Recognition · Computer Science 2022-12-29 Nicolas Bähler , Majed El Helou , Étienne Objois , Kaan Okumuş , Sabine Süsstrunk

We propose a method to prepare different non-Poissonian signal pulses from sources of Poissonian photon number distribution using only linear optical elements and threshold photon detectors. This method allows a simple passive preparation…

Quantum Physics · Physics 2015-05-14 Marcos Curty , Tobias Moroder , Xiongfeng Ma , Norbert Lütkenhaus

We develop a generative model-based approach to Bayesian inverse problems, such as image reconstruction from noisy and incomplete images. Our framework addresses two common challenges of Bayesian reconstructions: 1) It makes use of complex,…

Machine Learning · Statistics 2019-10-24 Vanessa Böhm , François Lanusse , Uroš Seljak

We establish the potential of continuous-variable Gaussian states of linear dynamical systems for machine learning tasks. Specifically, we consider reservoir computing, an efficient framework for online time series processing. As a…

Most processes in nature are coupled; however, extensive null models for generating such processes still lacks. We present a new method to generate two coupled Gaussian stochastic processes with arbitrary correlation functions. This method…

Probability · Mathematics 2016-02-16 Tayeb Jamali , G. R. Jafari

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also another channel with independent additive Gaussian noise (the feedback channel), and the transmitter observes without delay…

Information Theory · Computer Science 2015-01-21 Marat V. Burnashev , Hirosuke Yamamoto

We suggest a novel scheme for generating multimode squeezed states for the boson sampling implementation. The idea is to replace a commonly used linear interferometer by a multimode resonator containing a passive optical element consisting…

Quantum Physics · Physics 2024-09-16 Sergey V. Tarasov , Vladimir V. Kocharovsky

We consider the problem of broadcasting quantum information encoded in the average value of the field from N to M>N copies of mixed states of radiation modes. We derive the broadcasting map that preserves the complex amplitude, while…

Quantum Physics · Physics 2007-05-23 Giacomo M. D'Ariano , Paolo Perinotti , Massimiliano F. Sacchi

We consider a state-dependent parallel Gaussian channel with independent states and a common cognitive helper, in which two transmitters wish to send independent information to their corresponding receivers over two parallel subchannels.…

Information Theory · Computer Science 2018-10-30 Michael Dikshtein , Ruchen Duan , Yingbin Liang , Shlomo Shamai

Number state filtering in coherent states leads to sub-Poissonian photon statistics. These states are more suitable for phase estimation when compared with the coherent states. Nonclassicality of these states is quantified in terms of the…

Quantum Physics · Physics 2018-01-18 Nilakantha Meher , S. Sivakumar

We introduce a method to suppress unwanted transition channels, even without knowing their couplings, and achieve perfect population transfer in multistate quantum systems by the application of composite pulse sequences. Unwanted transition…

Quantum Physics · Physics 2015-06-11 Genko T. Genov , Nikolay V. Vitanov

Disposing of simple and efficient sources for photonic states with non-classical photon statistics is of paramount importance for implementing quantum computation and communication protocols. In this work, we propose an innovative approach…

Quantum Physics · Physics 2023-05-03 M. F. Melalkia , J. Huynh , S. Tanzilli , V. D'Auria , J. Etesse

Recently, the Gaussian optimizer conjecture in quantum information theory was confirmed for bosonic Gaussian gauge-covariant or contravariant channels. These results use the i.i.d. model of the quantum noise. In this paper we consider…

Quantum Physics · Physics 2018-12-12 A. S. Holevo

The goal of qubit purification is to combine multiple noisy copies of an unknown pure quantum state to obtain one or more copies that are closer to the pure state. We show that a simple protocol based solely on random SWAP tests achieves…

Quantum Physics · Physics 2025-12-23 Shrigyan Brahmachari , Austin Hulse , Henry D. Pfister , Iman Marvian

Boson sampling is one of the main quantum computation models to demonstrate the quantum computational advantage. However, this aim may be hard to realize considering two main kinds of noises, which are photon distinguishability and photon…

Quantum Physics · Physics 2024-08-20 Yang Ji , Yongzheng Wu , Shi Wang , Jie Hou , Meiling Chen , Ming Ni

We give a survey of the two remarkable analytical problems of quantum information theory. The main part is a detailed report of the recent (partial) solution of the quantum Gaussian optimizers problem which establishes an optimal property…

Mathematical Physics · Physics 2016-08-04 A. S. Holevo

A characterization of qubit quantum channels is introduced. In analogy to what happens in the context of Bosonic channels we exploit the possibility of representing the states of the system in terms of characteristic function. The latter…

Quantum Physics · Physics 2007-10-25 Filippo Caruso , Vittorio Giovannetti

This article considers the generative modeling of the (mixed) states of quantum systems, and an approach based on denoising diffusion model is proposed. The key contribution is an algorithmic innovation that respects the physical nature of…

Quantum Physics · Physics 2024-05-28 Yuchen Zhu , Tianrong Chen , Evangelos A. Theodorou , Xie Chen , Molei Tao

A growing cohort of experimental linear photonic networks implementing Gaussian boson sampling (GBS) have now claimed quantum advantage. However, many open questions remain on how to effectively verify these experimental results, as…

Quantum Physics · Physics 2023-08-03 Alexander S. Dellios , Margaret D. Reid , Peter D. Drummond

Quantum filtering is a signal processing technique that estimates the posterior state of a quantum system under continuous measurements and has become a standard tool in quantum information processing, with applications in quantum state…

Quantum Physics · Physics 2014-08-19 Mankei Tsang