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This paper addresses the problem of lossy image compression, a fundamental problem in image processing and information theory that is involved in many real-world applications. We start by reviewing the framework of variational autoencoders…

Image and Video Processing · Electrical Eng. & Systems 2023-12-06 Zhihao Duan , Ming Lu , Jack Ma , Yuning Huang , Zhan Ma , Fengqing Zhu

The JPEG algorithm compresses a digital image by filtering its high spatial-frequency components. Similarly, we introduce a quantum algorithm that uses the quantum Fourier transform to discard the high spatial-frequency qubits of an image,…

Quantum Physics · Physics 2024-01-09 Simone Roncallo , Lorenzo Maccone , Chiara Macchiavello

Quantum machine learning aspires to overcome intractability that currently limits its applicability to practical problems. However, quantum machine learning itself is limited by low effective dimensions achievable in state-of-the-art…

Quantum Physics · Physics 2022-01-04 Kunkun Wang , Lei Xiao , Wei Yi , Shi-Ju Ran , Peng Xue

We present one-shot compression protocols that optimally encode ensembles of $N$ identically prepared mixed states into $O(\log N)$ qubits. In contrast to the case of pure-state ensembles, we find that the number of encoding qubits drops…

Quantum Physics · Physics 2016-03-02 Yuxiang Yang , Giulio Chiribella , Daniel Ebler

Image compression and reconstruction are crucial for various digital applications. While contemporary neural compression methods achieve impressive compression rates, the adoption of such technology has been largely hindered by the…

Machine Learning · Computer Science 2025-10-06 Ethan G. Rogers , Cheng Wang

As a crossover frontier of physics and mechanics, quantum computing is showing its great potential in computational mechanics. However, quantum hardware noise remains a critical barrier to achieving accurate simulation results due to the…

Computational Engineering, Finance, and Science · Computer Science 2024-11-25 Zengtao Kuang , Yongchun Xu , Qun Huang , Jie Yang , Chafik El Kihal , Heng Hu

We develop a new method of representation of quantum states in terms of the displaced number states. We call it representation, where is an amplitude of the base displaced states. In particular, representation was obtained for set of the…

Quantum Physics · Physics 2015-07-24 Sergey A. Podoshvedov

Recent developments in classical simulation of quantum circuits make use of clever decompositions of chunks of magic states into sums of efficiently simulable stabiliser states. We show here how, by considering certain non-stabiliser…

Quantum Physics · Physics 2022-09-05 Aleks Kissinger , John van de Wetering , Renaud Vilmart

Quantum autoencoder is a quantum neural network model for compressing information stored in quantum states. However, one needs to process information stored in quantum circuits for many tasks in the emerging quantum information technology.…

Quantum Physics · Physics 2024-03-29 Jun Wu , Hao Fu , Mingzheng Zhu , Haiyue Zhang , Wei Xie , Xiang-Yang Li

Machine learning tasks are an exciting application for quantum computers, as it has been proven that they can learn certain problems more efficiently than classical ones. Applying quantum machine learning algorithms to classical data can…

Quantum Physics · Physics 2024-12-04 Bernhard Jobst , Kevin Shen , Carlos A. Riofrío , Elvira Shishenina , Frank Pollmann

Model compression, such as pruning and quantization, has been widely applied to optimize neural networks on resource-limited classical devices. Recently, there are growing interest in variational quantum circuits (VQC), that is, a type of…

Quantum Physics · Physics 2022-07-06 Zhirui Hu , Peiyan Dong , Zhepeng Wang , Youzuo Lin , Yanzhi Wang , Weiwen Jiang

Recent work suggests that quantum machine learning techniques can be used for classical image classification by encoding the images in quantum states and using a quantum neural network for inference. However, such work has been restricted…

Quantum Physics · Physics 2021-10-13 Ali Mohsen , Mo Tiwari

Quantum computers must meet extremely stringent qualitative and quantitative requirements on their qubits in order to solve real-life problems. Quantum circuit fragmentation techniques divide a large quantum circuit into a number of…

Quantum Physics · Physics 2024-06-25 Saikat Basu , Arnav Das , Amit Saha , Amlan Chakrabarti , Susmita Sur-Kolay

This work introduces the Schmidt quantum compressor, an innovative approach to quantum data compression that leverages the principles of Schmidt decomposition to encode quantum information efficiently. In contrast to traditional variational…

Quantum Physics · Physics 2025-08-06 Israel F. Araujo , Hyeondo Oh , Nayeli A. Rodríguez-Briones , Daniel K. Park

Quantum physics has brought enhanced capability in various sensing applications. Despite challenges from noise and loss in the radio-frequency (RF) domain, [Phys. Rev. Lett. 124, 150502 (2020)] demonstrates a route for enhanced RF-receiver…

Quantum Physics · Physics 2025-03-06 Haowei Shi , Christopher M. Jones , Mengjie Yu , Zheshen Zhang , Quntao Zhuang

Numerical simulation of continuous variable quantum state preparation is a necessary tool for optimization of existing quantum information processing protocols. A powerful instrument for such simulation is the numerical computation in the…

Quantum Physics · Physics 2022-10-10 Jan Provazník , Radim Filip , Petr Marek

Hybrid quantum-classical models offer a promising route for learning from complex data; however, their application to multi-band remote sensing imagery often relies on generic, data-agnostic quantum circuits that fail to account for…

Quantum Physics · Physics 2026-05-01 Md Aminur Hossain , Ayush V. Patel , Biplab Banerjee

We present a fully digital approach for simulating single-mode squeezed states on a superconducting quantum processor using an enhanced bosonic encoding strategy. By mapping up to 2^{n} photonic Fock states onto n qubits, our framework…

Quantum Physics · Physics 2026-02-04 Hengyue Li , Yusheng Yang , Zhe-Hui Wang , Shuxin Xie , Zilong Zha , Hantao Sun , Jie Chen , Jian Sun , Shenggang Ying

The exponential growth of visual data in digital communications has intensified the need for efficient compression techniques that balance rate-distortion performance with computational feasibility. While recent neural compression…

Image and Video Processing · Electrical Eng. & Systems 2025-05-21 Karthik Sivakoti

The classical image segmentation algorithm based on local adaptive threshold can effectively segment images with uneven illumination, but with the increase of the image data, the real-time problem gradually emerges. In this paper, a quantum…

Quantum Physics · Physics 2024-05-14 Lu Wang , Wenjie Liu