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In recent years, squeezed cat codes with resilience to specific types of loss have been proposed as a step toward realizing fault-tolerant optical quantum computers. However, error correction for squeezed cat codes requires a strong…

Quantum Physics · Physics 2025-11-20 Shohei Kiryu , Kosuke Fukui , Atsushi Okamoto , Akihisa Tomita

Continuous-variable (CV) quantum computing is a promising candidate for quantum computation because it can, even with one mode, utilize infinite-dimensional Hilbert spaces and can efficiently handle continuous values. Although photonic…

Compressed Sensing (CS) is a novel technique for simultaneous signal sampling and compression based on the existence of a sparse representation of signal and a projected dictionary $PD$, where $P\in\mathbb{R}^{m\times d}$ is the projection…

Information Theory · Computer Science 2018-04-25 Canyi Lu , Huan Li , Zhouchen Lin

Rotation symmetric bosonic codes are an attractive encoding for qubits into oscillator degrees of freedom, particularly in superconducting qubit experiments. While these codes can tolerate considerable loss and dephasing, they will need to…

Quantum Physics · Physics 2024-05-30 Juliette Soule , Andrew C. Doherty , Arne L. Grimsmo

We introduce a family of bosonic quantum error-correcting codes built as a rotation-symmetric superposition of squeezed vacuum states, which promise protection against both loss and dephasing noise channels. The robustness of these…

Quantum Physics · Physics 2025-11-11 Nir Gutman , Eliya Blumenthal , Shay Hacohen-Gourgy , Ariel Orda , Ido Kaminer

Bosonic quantum codes redundantly encode quantum information in the states of a quantum harmonic oscillator, making it possible to detect and correct errors. Schr\"odinger cat codes -- based on the superposition of two coherent states with…

Quantum Physics · Physics 2022-09-12 David S. Schlegel , Fabrizio Minganti , Vincenzo Savona

Compressive imaging is an emerging application of compressed sensing, devoted to acquisition, encoding and reconstruction of images using random projections as measurements. In this paper we propose a novel method to provide a scalable…

Information Theory · Computer Science 2013-10-07 Diego Valsesia , Enrico Magli

We develop squeezing protocols to enhance cross-Kerr interactions. We show that through alternating between squeezing along different quadratures of a single photonic mode, the cross-Kerr interaction strength can be generically amplified.…

Quantum Physics · Physics 2025-11-26 Ankit Tiwari , Daniel Burgarth , Linran Fan , Saikat Guha , Christian Arenz

Optical systems which measure independent random projections of a scene according to compressed sensing (CS) theory face a myriad of practical challenges related to the size of the physical platform, photon efficiency, the need for high…

Applications · Statistics 2015-03-19 Zachary T. Harmany , Roummel F. Marcia , Rebecca M. Willett

Diffusion models have transformed the landscape of image generation and now show remarkable potential for image compression. Most of the recent diffusion-based compression methods require training and are tailored for a specific bit-rate.…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Noam Elata , Tomer Michaeli , Michael Elad

Projected squeezed (PS) states are multipartite entangled states generated by unitary spin squeezing, followed by a collective quantum measurement and post-selection. They can lead to an appreciable decrease in the state preparation time of…

Quantum Physics · Physics 2024-05-14 B. J. Alexander , J. J. Bollinger , M. S. Tame

Large language models have steadily increased in size to achieve improved performance; however, this growth has also led to greater inference time and computational demands. Consequently, there is rising interest in model size reduction…

Recent work has shown impressive success in transferring painterly style to images. These approaches, however, fall short of photorealistic style transfer. Even when both the input and reference images are photographs, the output still…

Computer Vision and Pattern Recognition · Computer Science 2017-09-29 Roey Mechrez , Eli Shechtman , Lihi Zelnik-Manor

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. In this paper we address the application of CS to the scenario of progressive acquisition of 2D visual…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Enrico Magli

Squeezed cat quantum error correction (QEC) codes have garnered attention because of their robustness against photon-loss and excitation errors while maintaining the biased-noise property of cat codes. In this work, we reveal the utility of…

Quantum Physics · Physics 2025-10-02 Tomohiro Shitara , Gabriel Mintzer , Yuuki Tokunaga , Suguru Endo

We introduce an encoding of information in the relative displacement or photon number of different optical modes. Since the loss rate to interference is insensitive to squeezing and many non-Gaussian fluctuations, such a space is relatively…

Quantum Physics · Physics 2026-04-03 Uchenna Chukwu , Mohammad-Ali Miri , Nicholas Chancellor

Bosonic modes constitute a central resource in a wide range of quantum technologies, providing long-lived degrees of freedom for the storage, processing, and transduction of quantum information. Such modes naturally arise in platforms…

Quantum Physics · Physics 2026-02-10 Zhiyuan Lin , Sen Li , Jingyan Feng , Valentin Ivannikov , Matteo Fadel , Tim Byrnes

Compressive sensing (CS) is a new technology which allows the acquisition of signals directly in compressed form, using far fewer measurements than traditional theory dictates. Recently, many so-called signal space methods have been…

Numerical Analysis · Mathematics 2015-11-13 Xiaoyi Gu , Deanna Needell , Shenyinying Tu

In the last few years, large improvements in image clustering have been driven by the recent advances in deep learning. However, due to the architectural complexity of deep neural networks, there is no mathematical theory that explains the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Angel Villar-Corrales , Veniamin I. Morgenshtern

Computational photography involves sophisticated capture methods. A new trend is to capture projection of higher dimensional visual signals such as videos, multi-spectral data and lightfields on lower dimensional sensors. Carefully designed…

Computer Vision and Pattern Recognition · Computer Science 2011-09-12 Rohit Pandharkar , Ashok Veeraraghavan , Ramesh Raskar
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