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Auerbach Publications eBooks

Quantum Computing-Based Image Representation with IBM QISKIT Libraries

Barkha Singh, S. Indu, Sudipta Majumdar

Published Sep 8, 2023• 0 citations
Publisher

Abstract

Various operations can be performed on images using rapid quantum image processing techniques. Quantum parallel computing can be done using quantum state superposition and entanglement. In this chapter, the quantum superiority concept is explained and use of the quantum image classification and recognition process is analyzed. The challenges of noisy intermediate-scale quantum are described and solutions provided.

DOI
10.1201/9781003371380-9

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Quantum image processing (QIP) is a research branch of quantum information and quantum computing. It studies how to take advantage of quantum mechanics’ properties to represent images in a quantum computer and then, based on that image format, implement various image operations. Due to the quantum parallel computing derived from quantum state superposition and entanglement, QIP has natural advantages over classical image processing. But some related works misuse the notion of quantum superiority and mislead the research of QIP, which leads to a big controversy. In this paper, after describing this field’s research status, we list and analyze the doubts about QIP and argue “quantum image classification and recognition” would be the most significant opportunity to exhibit the real quantum superiority. We present the reasons for this judgment and dwell on the challenges for this opportunity in the era of NISQ (Noisy Intermediate-Scale Quantum).

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Quantum and classical computers have drastically different image representations.In a classical computer, bits are used.However, in a quantum computer, qubits are used.In this paper, the quantum image representation is the similar as the classical image representation.To represent quantum images, qubits and their associated properties have been used.Quantum imaging has previously been done via superposition.As a result, quantum imaging implemented using the superposition feature.Unitary matrices are then used to represent quantum circuits.For the quantum representation, we've gone with a modest image.To create quantum circuits, IBM's Qiskit software and Anaconda Python was used.On an IBM real time computer and an Aer simulator, a quantum circuit with 10,000 shots runs.Noise has been reduced more in the IBM real time computer than in the IBM Aer simulator.As a result, the Aer simulator's noise and qubit errors are higher than the IBM real time computer's.Quantum circuit design and image processing are both done with Qiskit programming, which is an appendix at the end of the paper.As the number of shots raise, the noise level decreases even further.Noise and qubit errors increase when the image operates at a low number of shots.Quantum image processing, noise reduction, and error correction done by circuit computation shots increase.Quantum image processing, representation, noise reduction, and error correction all make use of the quantum superposition concept.

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Comprehensive resource addressing the need for a quantum image processing machine learning model that can outperform classical neural networks Quantum Image Processing in Practice explores the transformative potential of quantum color image processing across various domains, including biomedicine, entertainment, economics, and industry. The rapid growth of image data, especially in facial recognition and autonomous vehicles, demands more efficient processing techniques. Quantum computing promises to accelerate digital image processing (DIP) to meet this demand. This book covers the role of quantum image processing (QIP) in quantum information processing, including mathematical foundations, quantum operations, image processing using quantum filters, quantum image representation, and quantum neural networks. It aims to inspire practical applications and foster innovation in this promising field. Topics include: Qubits and Quantum Logic Gates: Introduces qubits, the fundamental data unit in quantum computing, and their manipulation using quantum logic gates like Pauli matrices, rotations, the CNOT gate, and Hadamard matrices. The concept of entanglement, where qubits become interconnected, is also explored, highlighting its importance for applications like quantum teleportation and cryptography. Two and Multiple Qubit Systems: Demonstrates the importance of using two qubits to process color images, enabling image enhancement, noise reduction, edge detection, and feature extraction. Covers the tensor product, Kronecker sum, SWAP gate, and local and controlled gates. Extends to multi-qubit superpositions, exploring local and control gates for three qubits, such as the Toffoli and Fredkin gates, and describes the measurement of superpositions using projection operators. Transforms and Quantum Image Representations: Covers the Hadamard, Fourier, and Heap transforms and their circuits in quantum computation, highlighting their applications in signal and image processing. Introduces the quantum signal-induced heap transform for image enhancement, classification, compression, and filtration. Explores quantum representations and operations for images using the RGB, XYZ, CMY, HSI, and HSV color models, providing numerous examples. Fourier Transform Qubit Representation: Introduces a new model of quantum image representation, the Fourier transform qubit representation. Describes the algorithm and circuit for calculating the 2-D quantum Fourier transform, enabling advancements in quantum imaging techniques. New Operations and Hypercomplex Algebra: Presents new operations on qubits and quantum representations, including multiplication, division, and inverse operations. Explores hypercomplex algebra, specifically quaternion algebra, for its potential in color image processing. Quantum Neural Networks (QNNs): Discusses QNNs and their circuit implementation as advancements in machine learning driven by quantum mechanics. Summarizes various applications of QNNs and current trends and future developments in this rapidly evolving field. The book also addresses challenges and opportunities in QIP research, aiming to inspire practical applications and innovation. It is a valuable resource for researchers, students, and professionals interested in the intersection of quantum computing and color image processing applications, as well as those in visual communications, multimedia systems, computer vision, entertainment, and biomedical applications.

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Quantum classification is a rapidly developing area in the field of quantum computing that seeks to leverage the unique properties of quantum mechanics to improve the accuracy and efficiency of classification tasks. This chapter provides an in-depth exploration of the key concepts, algorithms, and applications of quantum classification. It begins with an introduction to the basic principles of quantum mechanics underlying quantum classification, including qubits, quantum gates, and quantum circuits. It then moves on to various quantum classification algorithms, such as quantum support vector machines, quantum decision trees, and quantum K-nearest neighbors, and compares them to their classical counterparts. Next, it delves into the practical aspects of quantum classification, such as hardware and software considerations, error correction, and optimization techniques. The use of quantum machine learning libraries, such as PennyLane and Qiskit, to implement quantum classification algorithms are also explored. The chapter then showcases the wide range of applications of quantum classification, including image and speech recognition, natural language processing, finance, and drug discovery. It highlights the potential advantages and limitations of quantum classification, compared to classical approaches, and presents several use cases where quantum classification has demonstrated superior performance. Finally, the current state of the art in quantum classification is discussed and future directions for research in this exciting and rapidly growing field are outlined. The challenges and opportunities for the adoption of quantum classification in industry and academia, and the potential impact of quantum classification on society at large are also covered. Overall, this chapter serves as a comprehensive guide to the emerging field of quantum classification, offering readers a clear understanding of the theory, algorithms, and applications of this exciting new area of research.

Chapman & Hall/CRC eBooks•Oct 1, 2024•1 citation
Various operations can be performed on images using rapid quantum image processing techniques. Quantum parallel computing can be done using quantum state superposition and entanglement. In this chapter, the quantum superiority concept is explained and use of the quantum image classification and recognition process is analyzed. The challenges of noisy intermediate-scale quantum are described and solutions provided.
Quantum image processing (QIP) is a research branch of quantum information and quantum computing. It studies how to take advantage of quantum mechanics’ properties to represent images in a quantum computer and then, based on that image format, implement various image operations. Due to the quantum parallel computing derived from quantum state superposition and entanglement, QIP has natural advantages over classical image processing. But some related works misuse the notion of quantum superiority and mislead the research of QIP, which leads to a big controversy. In this paper, after describing this field’s research status, we list and analyze the doubts about QIP and argue “quantum image classification and recognition” would be the most significant opportunity to exhibit the real quantum superiority. We present the reasons for this judgment and dwell on the challenges for this opportunity in the era of NISQ (Noisy Intermediate-Scale Quantum).
Quantum image processing uses quantum computing, which implements the concepts of entanglement and superposition to increase efficiency, scalability, and revolutionary promise in demanding image processing ap plications. In this research paper, a comprehensive frame work for quantum image processing (QIP) is presented, which includes innovative quantum algorithms for pattern recognition, image improvement, and representation. The system presents advanced quantum encoding models for effective image data manipulation and storage. In addition, it discusses the quantum image-based algorithms that give better results than classical techniques in terms of speed and accuracy for image enhancement tasks such as edge recognition, contrast adjustment, and noise reduction. Researchers have developed quantum-based feature ex traction and classification methods for pattern recognition, which demonstrate enhanced scalability and accuracy for complex visual data. It has various applications in satellite data processing, secure visual data transmission, and medical imaging highlighted by simulations and theoretical analysis that confirm the proposed approaches.
Quantum and classical computers have drastically different image representations.In a classical computer, bits are used.However, in a quantum computer, qubits are used.In this paper, the quantum image representation is the similar as the classical image representation.To represent quantum images, qubits and their associated properties have been used.Quantum imaging has previously been done via superposition.As a result, quantum imaging implemented using the superposition feature.Unitary matrices are then used to represent quantum circuits.For the quantum representation, we've gone with a modest image.To create quantum circuits, IBM's Qiskit software and Anaconda Python was used.On an IBM real time computer and an Aer simulator, a quantum circuit with 10,000 shots runs.Noise has been reduced more in the IBM real time computer than in the IBM Aer simulator.As a result, the Aer simulator's noise and qubit errors are higher than the IBM real time computer's.Quantum circuit design and image processing are both done with Qiskit programming, which is an appendix at the end of the paper.As the number of shots raise, the noise level decreases even further.Noise and qubit errors increase when the image operates at a low number of shots.Quantum image processing, noise reduction, and error correction done by circuit computation shots increase.Quantum image processing, representation, noise reduction, and error correction all make use of the quantum superposition concept.
Comprehensive resource addressing the need for a quantum image processing machine learning model that can outperform classical neural networks Quantum Image Processing in Practice explores the transformative potential of quantum color image processing across various domains, including biomedicine, entertainment, economics, and industry. The rapid growth of image data, especially in facial recognition and autonomous vehicles, demands more efficient processing techniques. Quantum computing promises to accelerate digital image processing (DIP) to meet this demand. This book covers the role of quantum image processing (QIP) in quantum information processing, including mathematical foundations, quantum operations, image processing using quantum filters, quantum image representation, and quantum neural networks. It aims to inspire practical applications and foster innovation in this promising field. Topics include: Qubits and Quantum Logic Gates: Introduces qubits, the fundamental data unit in quantum computing, and their manipulation using quantum logic gates like Pauli matrices, rotations, the CNOT gate, and Hadamard matrices. The concept of entanglement, where qubits become interconnected, is also explored, highlighting its importance for applications like quantum teleportation and cryptography. Two and Multiple Qubit Systems: Demonstrates the importance of using two qubits to process color images, enabling image enhancement, noise reduction, edge detection, and feature extraction. Covers the tensor product, Kronecker sum, SWAP gate, and local and controlled gates. Extends to multi-qubit superpositions, exploring local and control gates for three qubits, such as the Toffoli and Fredkin gates, and describes the measurement of superpositions using projection operators. Transforms and Quantum Image Representations: Covers the Hadamard, Fourier, and Heap transforms and their circuits in quantum computation, highlighting their applications in signal and image processing. Introduces the quantum signal-induced heap transform for image enhancement, classification, compression, and filtration. Explores quantum representations and operations for images using the RGB, XYZ, CMY, HSI, and HSV color models, providing numerous examples. Fourier Transform Qubit Representation: Introduces a new model of quantum image representation, the Fourier transform qubit representation. Describes the algorithm and circuit for calculating the 2-D quantum Fourier transform, enabling advancements in quantum imaging techniques. New Operations and Hypercomplex Algebra: Presents new operations on qubits and quantum representations, including multiplication, division, and inverse operations. Explores hypercomplex algebra, specifically quaternion algebra, for its potential in color image processing. Quantum Neural Networks (QNNs): Discusses QNNs and their circuit implementation as advancements in machine learning driven by quantum mechanics. Summarizes various applications of QNNs and current trends and future developments in this rapidly evolving field. The book also addresses challenges and opportunities in QIP research, aiming to inspire practical applications and innovation. It is a valuable resource for researchers, students, and professionals interested in the intersection of quantum computing and color image processing applications, as well as those in visual communications, multimedia systems, computer vision, entertainment, and biomedical applications.
The basics of quantum computing will be discussed. The introduction to different types of computing environments will be done. The concept of qubits will be introduced and compared with bits. The concepts of superposition and quantum entanglement will be discussed. The application of Shor’s and Grover’s algorithm will be discussed briefly and how these algorithms contribute for the enormous power of quantum computing will be elaborated. The brief description of quantum gates will be introduced. Algorithms like Quantum Hadamard Edge Detection can identify outlines and features significantly faster than classical methods will be explained. Topics on protection of visual data through quantum encryption and quantum key distribution will be explained. The pattern recognition using hybrid quantum machine learning models for image classification and segmentation will be elaborated.
Quantum classification is a rapidly developing area in the field of quantum computing that seeks to leverage the unique properties of quantum mechanics to improve the accuracy and efficiency of classification tasks. This chapter provides an in-depth exploration of the key concepts, algorithms, and applications of quantum classification. It begins with an introduction to the basic principles of quantum mechanics underlying quantum classification, including qubits, quantum gates, and quantum circuits. It then moves on to various quantum classification algorithms, such as quantum support vector machines, quantum decision trees, and quantum K-nearest neighbors, and compares them to their classical counterparts. Next, it delves into the practical aspects of quantum classification, such as hardware and software considerations, error correction, and optimization techniques. The use of quantum machine learning libraries, such as PennyLane and Qiskit, to implement quantum classification algorithms are also explored. The chapter then showcases the wide range of applications of quantum classification, including image and speech recognition, natural language processing, finance, and drug discovery. It highlights the potential advantages and limitations of quantum classification, compared to classical approaches, and presents several use cases where quantum classification has demonstrated superior performance. Finally, the current state of the art in quantum classification is discussed and future directions for research in this exciting and rapidly growing field are outlined. The challenges and opportunities for the adoption of quantum classification in industry and academia, and the potential impact of quantum classification on society at large are also covered. Overall, this chapter serves as a comprehensive guide to the emerging field of quantum classification, offering readers a clear understanding of the theory, algorithms, and applications of this exciting new area of research.