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CRC Press eBooks

Overview of Quantum Computing

Cheng Hsiao Wu

Published Nov 21, 2025• 0 citations
Publisher

Abstract

The difference between a classical sequential computer, using Boolean operations and implemented by transistor logic gates, and the new quantum parallel computer is described at the fundamental level. Why the new quantum computing must use nonlocal operator–state relations is explained to move the readers into a new frontier of science.

DOI
10.1201/9781003542032-1

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•Jun 18, 2026•0 citations
The difference between a classical sequential computer, using Boolean operations and implemented by transistor logic gates, and the new quantum parallel computer is described at the fundamental level. Why the new quantum computing must use nonlocal operator–state relations is explained to move the readers into a new frontier of science.
Nonlocal Quantum Computing Theory offers a fresh perspective on quantum computing, moving beyond the traditional qubit-based approach to a physics-driven interpretation of computation. This book highlights the limitations and logical flaws in mainstream quantum computing theories and introduces a rule-based, nonlocal quantum computing framework. Covering general-purpose quantum computing, biological applications, and atomic chains in full superposition and entanglement, this book presents a bold new theoretical foundation for the field. Key Features: Provides a comprehensive introduction to quantum computing from a nonlocal perspective. Critically examines the limitations of the standard qubit-based approach. Explores applications in biological systems and atomic chain computations. Introduces rule-based nonlocal quantum computing theory as an alternative framework. Includes a historical overview and discussion of quantum parallelism. This book is an essential resource for graduate students in physics and computer science, as well as researchers and professionals engaged in quantum information theory and quantum computing. Its innovative approach contributes to ongoing discussions in the field, making it valuable for those seeking a deeper understanding of the foundations and future of quantum computation.
This introduction presents an overview of the key concepts discussed in the subsequent chapters of this book. The book introduces the motivation and presents and comment on recent related works in the literature about the quantum computing emulation by hardware and simulation by software. The conventional electronic computer is a machine that performs logical and arithmetic operations sequentially and/or in parallel on data coded according to binary logic. Quantum Computing has been the target of several researches due to its potential for increasing the speed of processing through the use of algorithms with intrinsic parallelism, pointing out to the possibility of polynomial time solutions for NP-Complete problems. The book describes the macro-architecture of the proposed quantum processor and its interaction with the conventional host wherein it is embedded. It defines quantum state measurement and propose an efficient micro-architecture for the unit that is responsible for the state observation of the quantum bits, thus allowing for quantum bit measurements.
QUANTUM COMPUTING A helpful introduction to all aspects of quantum computing Quantum computing is a field combining quantum mechanics—the physical science of nature at the scale of atoms and subatomic particles—and information science. Where ordinary computing uses bits, logical values whose position can either be 0 or 1, quantum computing is built around qubits, a fundamental unit of quantum information which can exist in a superposition of both states. As quantum computers are able to complete certain kinds of functions more accurately and efficiently than computers built on classical binary logic, quantum computing is an emerging frontier which promises to revolutionize information science and its applications. This book provides a concise, accessible introduction to quantum computing. It begins by introducing the essentials of quantum mechanics that information and computer scientists require, before moving to detailed discussions of quantum computing in theory and practice. As quantum computing becomes an ever-greater part of the global information technology landscape, the knowledge in Quantum Computing will position readers to join a vital and highly marketable field of research and development. The book’s readers will also find: Detailed diagrams and illustrations throughout A broadly applicable quantum algorithm that improves on the best-known classical algorithms for a wide range of problems In-depth discussion of essential topics including key distribution, cluster state quantum computing, superconducting qubits, and more Quantum Computing is perfect for advanced undergraduate and graduate students in computer science, engineering, mathematics, or the physical sciences, as well as for researchers and academics at the intersection of these fields who want a concise reference.
Nature is the relations between processes and phenomena. Nothing exists in a Universe without relations. Computing is the transaction of relations between data using control and execution mechanisms. Quantum relations are a superposition of particles and their states. Quantum computing is unconditional transactions of relations between qubit data. Entanglement is a nonlocal superposition of deterministic states. A quantum computer is an analog device for solving combinatorial problems in parallel. Practically focused definitions of the concepts of quantum computing represent a path to the development of scalable quantum parallel algorithms for solving combinatorial problems. Any algorithm can be reduced to a sequence of operations without conditions, because any truth table is a collection of a complete system of conditions-states. Any sequence of actions can always be reduced to one parallel operation. Conditions and sequences arise only when the developer uses previously created primitives-constructs to build an always non-optimal calculator. The deterministic paradigm of creating quantum computing by using photon transactions on the electrons of an atom can exclude the use of quantum logic. The evolutionary path of quantum computing from the classical one: Memory-Address-Transaction (MAT) →\rightarrow→ Electron-Address-Transaction →\rightarrow→Electron-Address-Quantaction (EAQ)→\rightarrow→State-Superposition- Logic. What is calculated on a quantum computer can be calculated in parallel on a classical computer due to the redundancy of memory. MAT-computing implements any algorithms through transactions (read-write) in memory. Qubit-vector models for describing functionalities differ from the known truth tables in terms of compactness of description and technological implementation of parallel algorithms for the synthesis and analysis of digital devices and SoC-components. An example is given – a memory-driven algorithm for simulating digital devices based on qubit-vector forms of describing functionalities for a significant increase in the productivity of computing processes by parallel execution of logical operations. Comparative evaluations of the use of qubit models and methods show an increase in the efficiency of algorithms for simulating digital devices in comparison with tabular ones. The superposition of classical, quantum and analog computing is integrally presented, which makes it possible to search the best solutions for recognition and decision making.
Classical computers — the devices on which this article was written and on which you are reading it — operate on a binary logic of 0s and 1s. Every calculation, every image, every piece of music and every financial transaction is ultimately reducible to combinations of these two states. Quantum computers operate on a fundamentally different principle, exploiting quantum mechanical phenomena — superposition, entanglement, and quantum interference — to process information in ways that classical computing cannot replicate at any scale. This is not simply a matter of being faster. Quantum computers are architecturally different from classical computers in a way that makes them uniquely suited to solving specific categories of problems — drug discovery molecular simulation, cryptographic analysis, optimisation problems with millions of variables, and the simulation of quantum systems — that are practically intractable for classical machines. This article provides a scientifically accurate and conceptually accessible explanation of quantum computing, examining the six core concepts that distinguish it: superposition (qubits existing in multiple states simultaneously), entanglement (the correlation of quantum states across physical distance), quantum interference (the amplification of correct answers and cancellation of errors), decoherence (the primary engineering challenge), quantum gates (the operations that replace classical logic gates), and quantum advantage (the specific domains where quantum computing genuinely outperforms classical systems). Drawing on research from IBM Quantum, Google AI's quantum supremacy claims, and the philosophical parallels between quantum non-locality and the Vedantic concept of Akasha (the fifth element of interconnected space), the article makes quantum computing genuinely comprehensible without sacrificing scientific accuracy.