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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

We propose a novel method for image representation in quantum computers, which uses the two-dimensional (2-D) quantum states to locate each pixel in an image through row-location and column-location vectors for identifying each pixel…

Multimedia · Computer Science 2015-07-20 Madhur Srivastava , Subhayan R. Moulick , Prasanta K. Panigrahi

Quantum tomography is crucial for characterizing the quantum states of multipartite systems, but its practicality is often limited by the exponentially large dimension of the Hilbert space. Most existing approaches, such as compressed…

Quantum Physics · Physics 2025-03-04 Yat Wong , Ming Yuan , Kevin He , Srivatsan Chakram , Alireza Seif , David I. Schuster , Liang Jiang

This work introduces a novel quantum algorithm for gradient-based edge detection that operates entirely within the quantum circuit model. Grayscale images are encoded using the Novel Enhanced Quantum Representation (NEQR), allowing exact…

Quantum Physics · Physics 2026-04-30 Fred Sun

Due to its unique computing principles, quantum computing technology will profoundly change the spectacle of color art. Focusing on experimental exploration of color qubit representation, color channel processing, and color image generation…

Quantum Physics · Physics 2025-09-05 Guosheng Hu

Quantum image processing draws a lot of attention due to faster data computation and storage compared to classical data processing systems. Converting classical image data into the quantum domain and state label preparation complexity is…

Quantum Physics · Physics 2022-12-20 Md Ershadul Haque , Manoranjan Paul , Tanmoy Debnath

An orthogonal approximation for the 8-point discrete cosine transform (DCT) is introduced. The proposed transformation matrix contains only zeros and ones; multiplications and bit-shift operations are absent. Close spectral behavior…

Multimedia · Computer Science 2014-02-26 R. J. Cintra , F. M. Bayer

With the increasing demand for storing images, traditional image compression methods face challenges in balancing the compressed size and image quality. However, the hybrid quantum-classical model can recover this weakness by using the…

Quantum Physics · Physics 2025-02-18 Vu Tuan Hai , Huynh Ho Thi Mong Trinh , Pham Hoai Luan

Due to its remarkable energy compaction properties, the discrete cosine transform (DCT) is employed in a multitude of compression standards, such as JPEG and H.265/HEVC. Several low-complexity integer approximations for the DCT have been…

Multimedia · Computer Science 2016-12-05 R. J. Cintra , F. M. Bayer , V. A. Coutinho , S. Kulasekera , A. Madanayake

Image Compression has become an absolute necessity in today's day and age. With the advent of the Internet era, compressing files to share among other users is quintessential. Several efforts have been made to reduce file sizes while still…

Computer Vision and Pattern Recognition · Computer Science 2021-02-16 Jacob John

Transformer-based architectures have revolutionized the landscape of deep learning. In computer vision domain, Vision Transformer demonstrates remarkable performance on par with or even surpassing that of convolutional neural networks.…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Hui Zhang , Qinglin Zhao , Mengchu Zhou , Li Feng

A low-complexity orthogonal multiplierless approximation for the 16-point discrete cosine transform (DCT) was introduced. The proposed method was designed to possess a very low computational cost. A fast algorithm based on matrix…

Information Theory · Computer Science 2016-06-20 T. L. T. da Silveira , F. M. Bayer , R. J. Cintra , S. Kulasekera , A. Madanayake , A. J. Kozakevicius

Discrete transforms play an important role in many signal processing applications, and low-complexity alternatives for classical transforms became popular in recent years. Particularly, the discrete cosine transform (DCT) has proven to be…

Signal Processing · Electrical Eng. & Systems 2020-06-23 D. R. Canterle , T. L. T. da Silveira , F. M. Bayer , R. J. Cintra

Recent advances in computing such as the massively parallel GPUs (Graphical Processing Units),coupled with the need to store and deliver large quantities of digital data especially images, has brought a number of challenges for Computer…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-07 Kgotlaetsile Mathews Modieginyane , Zenzo Polite Ncube , Naison Gasela

The Internet has turned the entire world into a small village;this is because it has made it possible to share millions of images and videos. However, sending and receiving a huge amount of data is considered to be a main challenge. To…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Hassan Mohamed Muhi-Aldeen , Asma A. Abdulrahman , Jabbar Abed Eleiwy , Fouad S. Tahir , Yurii Khlaponin

Recent expansions in multimedia devices gather enormous amounts of real-time images for processing and inference. The images are first compressed using compression schemes, like JPEG, to reduce storage costs and power for transmitting the…

Image and Video Processing · Electrical Eng. & Systems 2024-06-25 Ming-Che Li , Archisman Ghosh , Shreyas Sen

The discrete cosine transform (DCT) is a relevant tool in signal processing applications, mainly known for its good decorrelation properties. Current image and video coding standards -- such as JPEG and HEVC -- adopt the DCT as a…

Image and Video Processing · Electrical Eng. & Systems 2022-12-09 T. L. T. da Silveira , D. R. Canterle , D. F. G. Coelho , V. A. Coutinho , F. M. Bayer , R. J. Cintra

We present a framework that formulates the quest for the most efficient quantum state tomography scheme as an optimization problem which can be solved numerically. This approach can be applied to a broad spectrum of relevant setups…

Quantum Physics · Physics 2021-12-17 Violeta N. Ivanova-Rohling , Guido Burkard , Niklas Rohling

We propose a practical approach to JPEG image decoding, utilizing a local implicit neural representation with continuous cosine formulation. The JPEG algorithm significantly quantizes discrete cosine transform (DCT) spectra to achieve a…

Image and Video Processing · Electrical Eng. & Systems 2024-04-09 Woo Kyoung Han , Sunghoon Im , Jaedeok Kim , Kyong Hwan Jin

The usage of linear transformations has great relevance for data decorrelation applications, like image and video compression. In that sense, the discrete Tchebichef transform (DTT) possesses useful coding and decorrelation properties. The…

Multimedia · Computer Science 2024-10-14 P. A. M. Oliveira , R. J. Cintra , F. M. Bayer , S. Kulasekera , A. Madanayake , V. A. Coutinho