Quantum computing : a new era of computing /: a new era of computing. (2023)

• Record Type: Book
• Further Information: Note: Kuldeep Singh Kaswan, Jagjit Singh Dhatterwal, Anupam Baliyan, Shalli Rani.
• Authors: Kaswan, Kuldeep Singh; Dhatterwal, Jagjit Singh; Baliyan, Anupam, 1976-; Rani, Shalli
• Contents: 1 INTRODUCTION OF QUANTUM COMPUTING… 1.1 Introduction 1.2 What is the exact Meaning of Quantum Computing 1.3 Origin of Quantum Computing 1.4 History of Quantum Computing 1.5 Quantum Communication 1.6 Build Quantum Computer Structure 1.7 Principle Working of Quantum Computers 1.8 Quantum Computing Use in Industry 1.9 Investors Invest Money in Quantum Technology 1.10 Applications of Quantum Computing 1.11 Quantum Computing as a Solution Technology 1.12 Conclusion 2 MERITS AND DEMERITS OF QUANTUM COMPUTING……… 2.1 Introduction 2.2 Quantum as Mathematical Computation 2.3 Complexity in Quantum 2.4 Advantages and Disadvantages of the Quantum Computational Model 2.5 Additional Advantages of Quantum Computing 2.6 Additional Disadvantages of Quantum Computing 2.7 Hybridization of Quantum Computing 2.8 Structure of QRAM 2.9 Algorithm in Quantum Computing 2.9.1 Designing of Quantum Algorithm 2.10 Alteration in Quantum Blocks 3 TOOLS ANF TECHNIQUES ON QUANTUM THEORY.… 3.1 Classical Information 3.2 Information Content in a Signal 3.3 Theory of Information and Entropy 3.4 Probability Basic 3.5 The No-Cloning Theorem 3.6 Trace Distance 3.7 Fidelity 3.8 Entanglement Of Formation and Concurrence 3.9 Information Content and Entropy 4 BUILDING BLOCKS OF QUANTUM COMPUTING……... 4.1 Single-Qubit 4.1.1 The Quantum Mechanics of Photon Polarization 4.2 Multi-Qubit 4.2.1 Quantum State Spaces 4.2.2 Direct Sums of Vector Spaces 4.2.3 Tensor Products of Vector Spaces 4.2.4 The state spaces of an n-Qubit System 4.2.5 Entangled States 4.2.6 Basics of Multi-Qubit Measurement 4.3 Measurement of Multi-Qubit 4.3.1 Notation for Mathematical Operations Using the Bra/Ket System Developed by Dirac 4.3.2 Projection Operators for Measurement 4.3.3 The Measurement Postulate 4.3.4 EPR Paradox and Bell’s Theorem 4.3.5 Setup for Bell’s Theorem 4.3.6 What Quantum Mechanics Predicts 4.3.7 Applying Bell's Theorem to the Predictions of Any Local Theory of Hidden Variables 4.3.8 Bell’s Inequality 4.4 State of Quantum Transformation 4.4.1 Single-step transformations 4.4.2 Impossible Transformations: The No-Cloning Principle 4.4.3 The Pauli Transformations 4.4.4 The Hadamard Transformation 4.4.5 Multiple-Qubit Transformations from Single-Qubit Transformations 4.4.6 The Controlled-NOT and Other Singly Controlled Gates 4.4.7 Dense Coding 4.4.8 Classical Bits in Dense Coding 4.4.9 Quantum Teleportation 4.4.10 Realizing Unitary Transformations as Quantum Circuits 4.4.11 Decomposition of Single-Qubit Transformations 4.4.12 Singly Controlled Single-Qubit Transformations 4.4.13 Multiply Controlled Single-Qubit Transformations 4.4.14 General Unitary Transformations 4.4.15 A Universally Approximating Set of Gates 4.4.16 The Standard Circuit Model 5 ALGORITHM STRUCTURE OF QUANTUM COMPUTING…… 5.1 Introduction 5.2 Quantum Algorithm 5.3 Quantum Computing Rule 1 5.4 Quantum Computing Rule 2 5.5 Quantum Computing Rule 3 5.6 Quantum Computing Rule 4 5.7 Quantum Computing Rule 5 5.8 Quantum Computing Rule 6 5.9 Quantum Computing Rule 7 5.10 Quantum Computing Rule 8 6 ALGORITHM OF AMPLITUDE AMPLIFICATION ……………………. 6.1 Introduction 6.2 Availability Bias 6.3 Amplitude Amplification Algorithm 6.3.1 Mathematical details for the amplitude amplification algorithm 6.4 Quantum Amplitude Estimation and Quantum Counting 6.5 The quantum amplitude estimation algorithm 6.5.1 Mathematical description of amplitude estimation algorithm 6.6 The Quantum Counting Algorithm 6.7 Searching Without Knowing the Success Probability 7 ERROR CORRECTION CODE IN QUANTUM NOISE ………… 7.1 Introduction 7.2 Basic forms of Error-Correcting Code in Quantum Technologies 7.1.1 Single Bit-Flip Errors in Quantum Computing 7.1.2 Single Qubit Coding in Quantum Computing 7.1.3 Error Correcting Code in Quantum Technology 7.3 Framework for Quantum Error Correcting Codes 7.3.1 Traditional based on Error Correcting Codes 7.3.2 Quantum Error Decode Mechanisms 7.3.3 Correction Sets in Quantum Coding Error 7.3.4 Quantum Errors Detection 7.3.5 Basic Knowledge Representation of Error Correcting Code 7.3.6 Quantum codes as a tool for error detection and correction 7.3.7 Quantum Error Correction Across Multiple Blocks 7.3.8 Computing on Encoded Quantum States 7.3.9 Using Linear Transformation of Correctable Codes 7.3.10 The Classical Independent Error Model 7.3.11 Quantum Independent Error Models 7.4 CSS Codes 7.4.1 Dual Classical Codes 7.4.2 CSS Codes Built Using Traditional Codes That Meet a Duality Consequence 7.4.3 The Steane Code 7.5 Stabilizer Codes 7.5.1 Binary Observables for Quantum Error Correction 7.5.2 Error-Correcting Pauli Observables in Quantum Systems 7.5.3 Correcting Errors using Stabilizer Code 7.5.4 Computing on the Encoded Stabilizer States 7.6 CSS Codes as Stabilizer Codes 8 FAULT TOLERANCE IN QUANTUM COMPUTING 8.1 Introduction 8.2 Setting the Stage for Robust Quantum Computation 8.3 Fault-Tolerant Computation Using Steane’s Code 8.3.1 The Problem with Syndrome Computation 8.3.2 Fault-Tolerant Syndrome Extraction and Error Correction 8.3.3 Fault-Tolerant Gates for Steane’s Code 8.3.4 Fault-Tolerant Measurement 8.3.5 Fault-Tolerant State Preparation of |π/4 8.4 Robust Quantum Computation 8.4.1 Concatenated Coding 8.4.2 A Threshold Theorem 9 CRYPTOGRAPHY IN QUANTUM COMPUTING 9.1 Introduction of RSA Encryption 9.2 A Brief Overview of RSA Encryption 9.3 Basic Quantum Cryptography 9.4 An Example Attack: The Controlled Not Attack 9.5 The B92 Protocol 9.6 The E91 Protocol 10 BUILDING CLUSTERS IN QUANTUM COMPUTING 10.1 Introduction 10.1.1 Cluster States 10.2 Cluster States Preparation 10.3 Adjacency Matrices 10.4 Stabilizer States 10.4.1 Aside: Entanglement Witness</p&g
• Edition: 1st
• Publisher Details: Hoboken : Wiley-IEEE Press
• Publication Date: 2023
• Extent: 1 online resource (336 pages), illustrations
• Subjects: 006.3843; Quantum computing
• Languages: English
• ISBNs: 9781394157839
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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