Meet the latest challenges in quantum computing with this cutting-edge volume Miniaturization is one of the major forms (and drivers) of innovation in electronics and computing. In recent years, the rapid reduction in the size of semiconductors and other key elements of digital technology has created major challenges, which new technologies are being continuously mobilized to meet. Quantum dot cellular automata (QCA) is a technology with huge potential to meet these challenges, particularly if multi-value computing is brought to bear. Computing with Multi-Value Logic in Quantum Dot Cellular Automata introduces this groundbreaking area of technology and its major applications. Using MATLAB® software and a novel multi-value logic simulator, the book demonstrates that multi-value circuits with a function that approximates fuzzy logic are within reach of modern engineering and design. Rigorous and clear, this book offers a crucial introduction to the processes of designing multi-value logic circuits with QCA technology. Readers will also find: The tools required to design fuzzy-quantum controllers with high processing speed Detailed discussion of topics including basic gate function, the energy consumption of QCA multi-value cells, and much more Extensive MATLAB® data and other worked-through examples Computing with Multi-Value Logic in Quantum Dot Cellular Automata is ideal for researchers and readers who are looking for an explanation of the basic concepts required to design multi-value circuits in this field.

Table of Contents:
List of Figures xi List of Tables xvii About the Authors xxi Preface xxiii Introduction xxv 1 Quantum Dots 1 1.1 Introduction to Quantum Dots 1 1.2 Physical Characteristics of Semiconductor Quantum Dots 2 1.3 Quantum Dots Structure 3 1.4 Surface Structure of Quantum Dots 7 1.5 Properties of Quantum Dots 10 2 Synthesis Methods of Quantum Dots and Applications 15 2.1 Synthesis Processes 15 2.2 Top-Down Synthesis Processes 15 2.3 Bottom-Up Synthesis Processes 17 2.4 Applications of Quantum Dots 19 3 Overview of QCA 23 3.1 Introduction to QCA Technology 23 3.2 Binary QCA Concept 24 3.3 Ternary QCA Cell Structure 24 3.4 Clock in QCA Technology 25 3.5 Manufacturing and Implementation of QCA 26 3.6 Overview of Quantum Gates 26 4 Polarization and Polarization Calculations in QCA (Quantum Calculations in QCA) 33 4.1 Introduction 33 4.2 Polarization and Calculation of Hamiltonian Matrix in QCA 33 5 Multi-Valued Cells Based on Polarization Calculations 59 5.1 Ternary QCA 59 5.2 Quaternary QCA 62 5.3 Quinary QCA 72 5.4 Hypothesis Based on n-Value QCA Cell 82 5.5 Fuzzy Logic Design Using MIN and MAX Functions 84 5.6 Quantum Information 87 6 Effect of Polarization for Two Adjacent Cells and Power Consumption in Multi-Valued Cells 91 6.1 Effect of Two Adjacent Cells in Terms of Polarization 91 6.2 Power Consumption in QCA Technology 95 7 Structure of Basic Gates Using the Proposed Cells in Multi-Value QCA 101 7.1 Structure of Basic Gates Using TQCA 101 7.2 Structure of Basic QQCA Gates 105 7.3 Structure of Basic Gates Using QuQCA 111 8 Implementation of Ternary and Quaternary Basic Gates Using QQCASim and TQCASim 119 8.1 TQCA Simulator 120 8.2 QQCA Simulator for QQCA Circuit Simulation 125 9 A Review of Literature on Memory Structures 135 9.1 Introduction 135 9.2 A Review of Basic Memory Structures 136 9.3 Review of Literature on Memory Design 138 10 Proposed PIM Cells and Their Fault Analysis in Binary QCA 141 10.1 Introduction 141 10.2 Binary QCA-Based Structures 143 10.3 Fault Analysis 147 11 Design Details of Binary Boolean Operators Using Basic PIM Cells: Proposing and Analyzing Basic-Extended Hypothesis 157 11.1 Introduction 157 11.2 Basic-Extended Hypothesis 157 11.3 Designing Logic Gates with Binary QCA-Based PIM Capability 157 12 Proposed PIM Cells in Ternary QCA and Their Fault Analysis 173 12.1 Introduction 173 12.2 Simulation of a Flip-Flop in Ternary QCA Using MATLAB 173 12.3 Structures in Ternary QCA 174 12.4 Fault Analysis 181 13 Design Details of Ternary Boolean Operators Using Basic PIM Cells and Analysis of Basic-Extended Hypothesis 189 13.1 Introduction 189 13.2 Designing Logic Gates With Ternary QCA-Based PIM Capability 189 13.3 Evaluation, Analysis, and Comparison of Results 196 14 Conclusions and Suggestions 201 14.1 Introduction 201 14.2 Summary and Conclusion 201 14.3 Suggestions 203 References 205 A Matrices217 A.1 Particle State Matrix in QQCA 217 A.2 Particle State Matrix in QQCA 218 B Electrostatic Energy Calculation 223 Index 237