Quantum computing: a pathway to quantum logic design
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bristol, UK
IOP Publishing
June 2023
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| Ausgabe: | Second edition |
| Schriftenreihe: | IOP ebooks
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Enthält Literaturangaben |
| Beschreibung: | 363 Seiten in verschiedenen Seitenzählungen Illustrationen, Diagramme |
| ISBN: | 9780750356817 |
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Contents Preface to the Second Edition xix Acknowledgments xxi Author biography xxii Acronyms xxiii Part I Quantum logic 1 Quantum logic 1-1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 Overview Motivations towards quantum computing The relationship between reversible and quantum logic Quantum computers The working principles of quantum computers The evolution of quantum computers Why pursue quantum computing? Summary Critical thinking questions References 1-1 1-2 1-3 1-3 1-4 1-5 1-6 1-6 1-6 1-7 2 Basic definitions of quantum logic 2-1 The quantum qubit The quantum gate 2.2.1 The quantum Feynman gate 2.2.2 The quantum Tofolli gate 2.2.3 The quantum Fredkin gate 2.3 Garbage outputs 2.4 Constant inputs 2.5 Area 2.6 Power 2.7 Delay 2.8 Depth 2.9 Quantum cost 2.10 Quantum gate calculation complexity 2.11 Summary 2-2 2-2 2-2 2-3 2-3 2-4 2-4 2-4 2-4 2-5 2-5 2-6 2-6 2-6 2.1 2.2 vii
Quantum Computing (Second Edition) Critical thinking questions References 2-6 2-7 The quantum qubit string comparator 3-1 3.1 Characteristics of a quantum comparator 3.2 The quantum magnitude comparator 3.3 The design of a quantum comparator 3.3.1 Example 3.4 Summary Critical thinking questions References 3-1 3-2 3-2 3-6 3-8 3-8 3-9 3 4 The quantum full-adder and subtractor 4-1 4.1 The quantum adder 4.1.1 The quantum full-adder 4.2 The quantum subtractor 4.2.1 The quantum half-subtractor 4.2.2 The quantum full-subtractor 4.3 Summary Critical thinking questions References 4-1 4-2 4-3 4-4 4-4 4-6 4-6 4-6 5 5-1 The quantum multiplexer and demultiplexer 5.1 Thequantummultiplexer 5.1.1 The quantum 2-to-l multiplexer 5.1.2 Quantum 4-to-l multiplexer 5.1.3 The quantum 2"-to-1 multiplexer 5.2 The quantum demultiplexer 5.2.1 The quantum l-to-2 demultiplexer 5.2.2 The quantum l-to-4 demultiplexer 5.2.3 Quantum l-to-2” demultiplexer 5.3 Summary Critical thinking questions References 5-1 5-1 5-2 5-2 5-4 5-4 5-5 5-5 5-7 5-7 5-8 The quantum adder circuits 6-1 6.1 The quantum carry skip adder 6-2 6 viii
Quantum Computing (Second Edition) 6.2 The quantum comparison circuit 6.3 The quantum 2-to-l multiplier circuit 6.4 The design of a quantum carry skip adder 6.4.1 The four-qubit quantum carry skip adder 6.4.2 The n-qubit quantum carry skip adder 6.4.3 Calculation of the area and power of a quantum carry skip adder circuit 6.4.4 Complexity of the n-qubit quantum carry skip adder circuit 6.5 The quantum BCD adder 6.6 Summary Critical thinking questions References 7 The quantum multiplier-accumulator 7.1 The importance of a quantum multiplier-accumulator 7.2 The quantum multiplication technique 7.3 Reduction of the garbage outputs and ancillaryinputs of quantum circuits 7.4 The design of a quantum multiplier circuit 7.4.1 The quantum ANDing circuit 7.4.2 The quantum full-adder circuit 7.4.3 The η x n-qubit quantum multiplier 7.5 Accumulator 7.6 Summary Critical thinking questions References 8 The quantum divider 6-2 6-3 6-3 6-4 6-4 6-6 6-7 6-9 6-13 6-13 6-13 7-1 7-2 7-3 7-7 7-8 7-8 7-8 7-13 7-15 7-16 7-16 7-17 8-1 8.1 Division algorithms 8.1.1 Classical integer division algorithms 8.1.2 Quantum integer division algorithms 8.2 The importance of the quantum divider 8.3 The tree-based quantum division technique 8.3.1 Definitions and properties of the division technique 8.3.2 The algorithm of the division technique 8.4 The design of a quantum divider circuit 8.4.1 A technique to minimize the number of ancillary inputs in the quantum circuit realization ix 8-1 8-1 8-2 8-2 8-3 8-3 8-5 8-9 8-9
Quantum Computing (Second Edition) 8.5 8.4.2 The components of the quantum divider circuit Summary Critical thinking questions References 8-12 8-20 8-20 8-20 9 The quantum BCD priority encoder 9-1 9.1 9.2 The properties of a quantum encoder The design of a quantum BCD priority encoder circuit 9.2.1 The quantum BCD priority encoder circuit 9.2.2 Analysis of the properties of the encoder circuit Summary Critical thinking questions References 9-1 9-2 9-3 9-5 9-8 9-8 9-9 9.3 10 The quantum decoder 10-1 10.1 The characteristics of a quantum decoder 10.2 The design of a quantum decoder 10.2.1 The quantum decoder circuit 10.2.2 Analysis of the properties of the circuits 10.3 Summary Critical thinking questions References 11 The quantum square root circuit 11.1 The properties of a quantum square root function 11.2 The design of a quantum square root circuit 11.2.1 The quantum adder/subtractor circuit 11.2.2 The quantum square root circuit 11.2.3 Analysis of the properties of the quantum circuit 11.3 Summary Critical thinking questions References 12 Quantum latches and counter circuits 12.1 The properties of quantum latches 12.2 The design of quantum latches 12.2.1 The quantum SR latch 10-1 10-3 10-3 10-4 10-7 10-7 10-7 11-1 11-1 11-2 11-2 11-3 11-5 11-7 11-7 11-8 12-1 12-1 12-2 12-2 X
Quantum Computing (Second Edition) 12.2.2 The quantum D latch 12-3 12-4 12.2.3 The quantum T latch 12.2.4 The quantum J-K latch 12.3 The properties of quantum counter circuits 12.4 The design of quantum counters 12.4.1 The quantum asynchronous counter 12.4.2 The quantum synchronous counter 12.5 Summary Critical thinking questions References 13 The quantum controlled ternary barrel shifter 12-5 12-5 12-6 12-6 12-6 12-7 12-7 12-7 13-1 13.1 Ternary quantum gates 13.1.1 The quantum ternary Peres gate 13-2 13.1.2 The quantum ternary modified Fredkin gate 13.2 The properties of ternary quantum circuits 13-3 13-4 13-4 13.3 The quantum barrel shifter 13.3.1 Logical right shift 13-5 13.3.2 Arithmetic right shift 13.3.3 Right rotation 13.3.4 Logical left shift 13-5 13-5 13.3.5 Arithmetic left shift 13.3.6 Left rotation 13-5 13-5 13-5 13.4 The design of a quantum ternary barrel shifter 13.4.1 The optimized quantum ternary barrel shifter 13.4.2 The properties of the designed circuit 13.5 Summary 14 13-2 13-6 13-6 Critical thinking questions 13-7 13-10 13-11 References 13-11 Quantum RAM, quantum ROM, and quantum cache memory 14.1 The quantum n-to-2" decoder 14.2 The quantum memory unit 14.3 The construction procedure of QRAM 14.4 Quantum ROM 14.5 Quantum cache memory 14.6 Summary xi 14-1 14-1 14-4 14-6 14-7 14-9 14-11
Quantum Computing (Second Edition) Critical thinking questions References 15 14-12 14-12 The quantum arithmetic logic unit 15.1 The design of a quantum ALU 15.1.1 The first approach 15.1.2 The second approach 15.1.3 The third approach 15.2 Summary Critical thinking questions References 16 15-1 15-2 15-2 15-4 15-5 15-5 15-6 Quantum programmable logic devices 16.1 The quantum programmable array logic 16.1.1 The design procedure and working principles of quantum PAL 16.1.2 The importance and applicationsof quantum PAL 16.2 The quantum programmable logic array 16.2.1 The design procedure and working principles of quantum PLAs 16.2.2 The importance and applications of quantum PLAs 16.3 The quantum complex programmable logic device 16.3.1 The design procedure and working principles of quantum CPLDs 16.3.2 The importance and applications of quantum CPLD 16.4 The quantum field-programmable gate array 16.4.1 The design procedure and working principles of quantum FPGAs 16.4.2 The importance and applications of FPGAs 16.5 Summary Critical thinking questions References 17 15-1 The quantum processor circuit 16-1 16-1 16-2 16-3 16-3 16-3 16-4 16-5 16-5 16-6 16-7 16-7 16-8 16-8 16-8 16-9 17-1 17.1 Introduction 17.2 Basic definitions 17.3 The block diagram of a quantum processor xii 17-1 17-2 17-3
Quantum Computing (Second Edition) 17.4 The basic components of a quantum processor 17.4.1The quantum RAM 17.4.2The quantum instruction register 17.4.3The quantum program counter 17.4.4 The quantum decoder 17.4.5 Thequantummultiplexer 17.4.6 The quantum arithmetic logic unit 17.4.7 The quantum accumulator 17.5 Applications 17.6 Summary Critical thinking questions References 18 Applications of quantum computing technology 18.1 Optimization 18.1.1 The Roswell Park Cancer Institute 18.1.2 Volkswagen group 18.1.3 Recruit Communications 18.2 Machine learning 18.2.1 QxBranch 18.2.2 Los Alamos National Laboratory 18.2.3 NASA 18.3 Biomedical simulations 18.4 Financial services 18.5 Computational chemistry 18.6 Logistics and scheduling 18.7 Cyber security 18.8 Circuit, software, and system fault simulation 18.9 Weather forecasting 18.10 Summary Critical thinking questions References Part II 19 17-4 17-5 17-9 17-9 17-10 17-11 17-11 17-16 17-17 17-18 17-18 17-18 18-1 18-1 18-2 18-2 18-2 18-3 18-4 18-4 18-4 18-5 18-5 18-7 18-7 18-7 18-7 18-8 18-8 18-9 18-9 Quantum fault tolerance Quantum fault-tolerant circuits 19.1 The need for quantum fault-tolerant circuits xiii 19-1 19-1
Quantum Computing (Second Edition) 19.2 The fault-tolerant quantum adder 19.2.1 The fault-tolerant full-adder 19.3 The fault-tolerant multiplier 19.3.1 The fault-tolerant signed multiplier 19.4 The quantum fault-tolerant integer divider 19.4.1 The restoring division algorithm 19.4.2 The subtractor module 19.4.3 The conditional addition operation module 19.4.4 Quantum restoring integer division circuitry 19.5 Summary Critical thinking questions References 19-2 19-3 19-5 19-7 19-8 19-9 19-11 19-12 19-12 19-13 19-14 19-14 Part Ш Quantum-dot cellular automata 20 Quantum-dot cellular automata 20.1 Fundamentals of QCA circuits 20.1.1 Area 20.1.2 Delay 20.1.3 Kink energy 20.1.4 Power 20.1.5 Overall cost 20.2 The QCA cell 20.3 Information and data propagation 20.4 Basic QCA elements and gates 20.4.1 The QCA majority voter 20.4.2 The QCA AND gate 20.4.3 The QCA OR gate 20.4.4 The QCA NOT gate 20.4.5 The QCA wire 20.5 The QCA clock 20.5.1 Special cell arrangements and symmetric cells 20.5.2 The NOT gate clock zones 20.5.3 The majority voter clock zones 20.6 Summary Critical thinking questions References xiv 20-1 20-1 20-2 20-2 20-2 20-3 20-3 20-3 20-4 20-4 20-5 20-5 20-6 20-6 20-6 20-7 20-7 20-9 20-9 20-10 20-10 20-10
Quantum Computing (Second Edition) 21 The QCA adder and subtractor 21.1 The Ex-OR gate 21.2 The QCA half-adder and-subtractor 21.3 The QCA full-adder and full-sub tractor 21.3.1 Implementation of the full-adder and full-subtractor 21.4 Summary Critical thinking questions References 22 The QCA multiplier and divider 22.1 The QCA multiplier 22.1.1 Multiplication networks 22.1.2 QCA multiplication networks 22.1.3 Multiplier design 22.2 The QCA divider 22.2.1 The non-restoring binarydivider 22.2.2 Divider implementation 22.3 Summary Critical thinking questions References 23 QCA asynchronous and synchronouscounters 23.1 The asynchronous counter 23.1.1 The dual-edge triggered J-K flip-flop 23.1.2 The design of dual-edge triggeredJ-K flip-flop 23.1.3 The asynchronous backward counter 23.2 The synchronous counter 23.2.1 QCA synchronous counters 23.3 Summary Critical thinking questions References 24 The QCA decoder and encoder 21-1 21-1 21-2 21-4 21-5 21-6 21-6 21-6 22-1 22-1 22-3 22-6 22-9 22-10 22-12 22-14 22-15 22-16 22-16 23-1 23-1 23-1 23-3 23-4 23-5 23-7 23-9 23-10 23-11 24-1 24-1 24-3 24-5 24.1 The QCA decoder 24.1.1 The QCA 2-to-4 decoder 24.1.2 The QCA 3-to-8 decoder XV
Quantum Computing (Second Edition) 24.2 The QCA encoder 24.2.1 The QCA turbo encoder design 24.2.2 The RC encoder with single-feedback 24.2.3 The RC encoder with multi-feedback 24.3 Summary Critical thinking questions References 25 The QCA multiplexer and demultiplexer The QCA 2-to-l multiplexer The QCA 4-to-l multiplexer The QCA l-to-2 demultiplexer The QCA l-to-4 demultiplexer Multiplexing/demultiplexing using QCA 25.5.1 The effect of the selector line (So, S]) on the 2-to-l MUX/l-to-2 DEMUX 25.6 Summary Critical thinking questions References 25.1 25.2 25.3 25.4 25.5 24-5 24-5 24-9 24-10 24-12 24-12 24-12 25-1 25-1 25-2 25-3 25-5 25-6 25-6 25-7 25-8 25-8 26 QCA flip-flops 26-1 26.1 26.2 26.3 26.4 26.5 26.6 QCA D flip-flops QCA J-K flip-flops QCA SR flip-flops QCA T flip-flops Applications Summary Critical thinking questions References 26-1 26-3 26-4 26-6 26-6 26-8 26-8 26-8 27 QCA programmable logic devices 27-1 The QCA programmable array logic The QCA programmable logic array The QCA field-programmable gate array The importance and applications of QCA programmable logic devices 27.5 Summary 27.1 27.2 27.3 27.4 xvi 27-1 27-2 27-3 27-5 27-8
Quantum Computing (Second Edition) 28 Critical thinking questions References 27-8 27-8 QCA RAM, ROM, and cache memory 28-1 28.1 The RAM cell 28.2 The QCA ROM 28-1 28-3 28.3 The QCA cache memory 28.4 Summary 28-6 28-7 29 Critical thinking questions References 28-7 28-7 The QCA processor circuit 29-1 29.1 Introduction 29.2 Basic definitions 29-1 29-2 29.3 The block diagram of a QCA processor 29.4 The basic components of a QCA processor 29.4.1The QCA RAM 29-3 29-4 29-4 29.4.2 The QCA instruction register 29-7 29.4.3 The QCA accumulator 29-7 29.4.4 29.4.5 The QCA decoder The QCA multiplexer 29-8 29-9 29.4.6 29.4.7 The QCA program counter The QCA ALU 29-12 29.5 Summary 29-12 29-14 Critical thinking questions References 30 29-9 29-12 Applications of QCA technology 30-1 30.1 High performance 30.2 Small size 30.3 Low power consumption 30-1 30-1 30-2 30.4 Encryption and authentication 30-2 30.5 Higher data speed 30.6 Image processing 30.7 Summary 30-2 30-3 30-4 Critical thinking questions References 30-4 30-4 xvii
Quantum Computing (Second Edition) Part IV QCA fault tolerance 31 QCA fault-tolerant circuits 31-1 31.1 31.2 31.3 31.4 31.5 31.6 31.7 31.8 The necessity of QCA fault-tolerant circuits The fault-tolerant QCA majority gate The fault-tolerant QCA l-to-2 demultiplexer The fault-tolerant QCA full-adder The fault-tolerant QCA SRAM cell The fault-tolerant QCA subtractor The fault-tolerant QCA multiplier Summary Critical thinking questions References 31-1 31-2 31-2 31-3 31-5 31-6 31-6 31-8 31-9 31-9 xviii |
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| spelling | Babu, Hafiz Md. Hasan 1966- Verfasser (DE-588)1217495320 aut Quantum computing a pathway to quantum logic design Hafiz Md Hasan Babu, Department of Computer Science and Engineering, University of Dhaka, Dhaka, Bangladesh 2. edition Second edition Bristol, UK IOP Publishing June 2023 363 Seiten in verschiedenen Seitenzählungen Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier IOP ebooks Enthält Literaturangaben Quantencomputer (DE-588)4533372-5 gnd rswk-swf Quantenlogik (DE-588)4176599-0 gnd rswk-swf Quantenlogik (DE-588)4176599-0 s Quantencomputer (DE-588)4533372-5 s DE-604 Erscheint auch als Online-Ausgabe 978-0-7503-5683-1 Erscheint auch als Online-Ausgabe 978-0-7503-5684-8 Erscheint auch als Online-Ausgabe 978-0-7503-5682-4 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034355306&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| subject_GND | (DE-588)4533372-5 (DE-588)4176599-0 |
| title | Quantum computing a pathway to quantum logic design |
| title_alt | 2. edition |
| title_auth | Quantum computing a pathway to quantum logic design |
| title_exact_search | Quantum computing a pathway to quantum logic design |
| title_exact_search_txtP | Quantum computing a pathway to quantum logic design |
| title_full | Quantum computing a pathway to quantum logic design Hafiz Md Hasan Babu, Department of Computer Science and Engineering, University of Dhaka, Dhaka, Bangladesh |
| title_fullStr | Quantum computing a pathway to quantum logic design Hafiz Md Hasan Babu, Department of Computer Science and Engineering, University of Dhaka, Dhaka, Bangladesh |
| title_full_unstemmed | Quantum computing a pathway to quantum logic design Hafiz Md Hasan Babu, Department of Computer Science and Engineering, University of Dhaka, Dhaka, Bangladesh |
| title_short | Quantum computing |
| title_sort | quantum computing a pathway to quantum logic design |
| title_sub | a pathway to quantum logic design |
| topic | Quantencomputer (DE-588)4533372-5 gnd Quantenlogik (DE-588)4176599-0 gnd |
| topic_facet | Quantencomputer Quantenlogik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034355306&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT babuhafizmdhasan quantumcomputingapathwaytoquantumlogicdesign AT babuhafizmdhasan 2edition |