Advanced quantum communications : an engineering approach / / Sandor Imre, Laszlo Gyongyosi |
Autore | Imre Sandor |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2013 |
Descrizione fisica | 1 online resource (484 p.) |
Disciplina |
621.382
621.38201 |
Altri autori (Persone) | GyongyosiLaszlo |
Soggetto topico |
Quantum communication
Quantum computers |
ISBN |
1-118-33745-X
1-283-86924-1 1-118-33743-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
PREFACE xvii -- CHAPTER 1 INTRODUCTION 1 -- 1.1 Emerging Quantum Infl uences 2 -- 1.2 Quantum Information Theory 2 -- 1.3 Different Capacities of Quantum Channels 3 -- 1.4 Challenges Related to Quantum Channel Capacities 5 -- 1.5 Secret and Private Quantum Communication 6 -- 1.6 Quantum Communications Networks 8 -- 1.7 Recent Developments and Future Directions 9 -- CHAPTER 2 INTRODUCTION TO QUANTUM INFORMATION THEORY 11 -- 2.1 Introduction 12 -- 2.2 Basic Definitions and Formulas 15 -- 2.3 Geometrical Interpretation of the Density Matrices 25 -- 2.4 Quantum Entanglement 31 -- 2.5 Entropy of Quantum States 34 -- 2.6 Measurement of the Amount of Entanglement 43 -- 2.7 Encoding Classical Information to Quantum States 49 -- 2.8 Quantum Noiseless Channel Coding 54 -- 2.9 Brief Summary 57 -- 2.10 Further Reading 57 -- CHAPTER 3 THE CLASSICAL CAPACITIES OF QUANTUM CHANNELS 65 -- 3.1 Introduction 65 -- 3.2 From Classical to Quantum Communication Channels 73 -- 3.3 Transmission of Classical Information over Quantum Channels 77 -- 3.4 The Holevo-Schumacher-Westmoreland Theorem 84 -- 3.5 Classical Communication over Quantum Channels 89 -- 3.6 Brief Summary of Classical Capacities 98 -- 3.7 Multilevel Quantum Systems and Qudit Channels 98 -- 3.8 The Zero-Error Capacity of a Quantum Channel 100 -- 3.9 Further Reading 117 -- CHAPTER 4 THE QUANTUM CAPACITY OF QUANTUM CHANNELS 126 -- 4.1 Introduction 126 -- 4.2 Transmission of Quantum Information 128 -- 4.3 Quantum Coherent Information 136 -- 4.4 The Asymptotic Quantum Capacity 146 -- 4.5 Relation between Classical and Quantum Capacities of Quantum Channels 149 -- 4.6 Further Reading 151 -- CHAPTER 5 GEOMETRIC INTERPRETATION OF QUANTUM CHANNELS 156 -- 5.1 Introduction 156 -- 5.2 Geometric Interpretation of the Quantum Channels 157 -- 5.3 Geometric Interpretation of the Quantum Informational Distance 162 -- 5.4 Computation of Smallest Quantum Ball to Derive the HSW Capacity 182 -- 5.5 Illustrative Example 190 -- 5.6 Geometry of Basic Quantum Channel Models 191.
5.7 Geometric Interpretation of HSW Capacities of Different Quantum Channel Models 197 -- 5.8 Further Reading 213 -- CHAPTER 6 ADDITIVITY OF QUANTUM CHANNEL CAPACITIES 218 -- 6.1 Introduction 218 -- 6.2 Additivity of Classical Capacity 223 -- 6.3 Additivity of Quantum Capacity 225 -- 6.4 Additivity of Holevo Information 232 -- 6.5 Geometric Interpretation of Additivity of HSW Capacity 245 -- 6.6 Classical and Quantum Capacities of some Channels 260 -- 6.7 The Classical Zero-Error Capacities of some Quantum Channels 264 -- 6.8 Further Reading 265 -- CHAPTER 7 SUPERACTIVATION OF QUANTUM CHANNELS 269 -- 7.1 Introduction 270 -- 7.2 The Non-Additivity of Private Information 270 -- 7.3 Channel Combination for Superadditivity of Private Information 274 -- 7.4 Superactivation of Quantum Capacity of Zero-Capacity Quantum Channels 282 -- 7.5 Behind Superactivation: The Information Theoretic Description 295 -- 7.6 Geometrical Interpretation of Quantum Capacity 302 -- 7.7 Example of Geometric Interpretation of Superactivation 305 -- 7.8 Extension of Superactivation for More General Classes 310 -- 7.9 Superactivation of Zero-Error Capacities 315 -- 7.10 Further Reading 322 -- CHAPTER 8 QUANTUM SECURITY AND PRIVACY 325 -- 8.1 Introduction 326 -- 8.2 Quantum Key Distribution 330 -- 8.3 Private Communication over the Quantum Channel 333 -- 8.4 Quantum Cryptographic Primitives 336 -- 8.5 Further Reading 354 -- CHAPTER 9 QUANTUM COMMUNICATION NETWORKS 362 -- 9.1 Long-Distance Quantum Communications 362 -- 9.2 Levels of Entanglement Swapping 368 -- 9.3 Scheduling Techniques of Purifi cation 371 -- 9.4 Hybrid Quantum Repeater 375 -- 9.5 Probabilistic Quantum Networks 382 -- 9.6 Conclusions 384 -- 9.7 Further Reading 384 -- CHAPTER 10 RECENT DEVELOPMENTS AND FUTURE DIRECTIONS 388 -- 10.1 Introduction 388 -- 10.2 Qubit Implementations 391 -- 10.3 Quantum CPUs 396 -- 10.4 Quantum Memories 400 -- 10.5 Further Reading 411 -- NOTATIONS AND ABBREVIATIONS 413 -- REFERENCES 420 -- INDEX 455. |
Record Nr. | UNINA-9910876864103321 |
Imre Sandor
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Hoboken, N.J., : Wiley, c2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Quantum computing and communications : an engineering approach / / Sandor Imre and Ferenc Balazs |
Autore | Imre Sandor |
Edizione | [1st edition] |
Pubbl/distr/stampa | Chichester, West Sussex, England ; ; Hoboken, NJ, : Wiley, c2005 |
Descrizione fisica | 1 online resource (315 p.) |
Disciplina | 004.1 |
Altri autori (Persone) | BalazsFerenc <1973-> |
Soggetto topico |
Digital communications - Data processing
Quantum computers Signal processing - Digital techniques Telecommunication - Data processing |
ISBN |
1-118-72547-6
0-470-86904-6 1-280-27231-7 9786610272310 0-470-86903-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Quantum Computing and Communications An Engineering Approach; Contents; Preface; How to use this book; Acknowledgments; List of Figures; Acronyms; Part I Introduction to Quantum Computing; 1 Motivations; 1.1 Life Cycle of a Well-known Invention; 1.2 What about Computers and Computing?; 1.3 Let us Play Marbles; 2 Quantum Computing Basics; 2.1 Mystery of Probabilistic Gate; 2.2 The Postulates of Quantum Mechanics; 2.3 Qbits and Qregisters; 2.4 Elementary Quantum Gates; 2.5 General Description of the Interferometer; 2.6 Entanglement; 2.6.1 A surprising quantum state - entanglement
2.6.2 The CNOT gate as classical copy machine and quantum entangler2.6.3 Bell states; 2.6.4 Entanglement with the environment - decoherence; 2.6.5 The EPR paradox and the Bell inequality; 2.7 No Cloning Theorem; 2.8 How to Prepare an Arbitrary Superposition; 2.9 Further Reading; 3 Measurements; 3.1 General Measurements; 3.2 Projective Measurements; 3.2.1 Measurement operators and the 3(rd) Postulate in the case of projective measurement; 3.2.2 Measurement using the computational basis states; 3.2.3 Observable and projective measurement; 3.2.4 Repeated projective measurement 3.2.5 CHSH inequality with entangled particles3.3 Positive Operator Valued Measurement; 3.3.1 Measurement operators and the 3(rd) Postulate in the case of POVM; 3.3.2 How to apply POVM operators; 3.4 Relations among the Measurement Types; 3.5 Quantum Computing-based Solution of the Game with Marbles; 3.6 Further Reading; Part II Quantum Algorithms; 4 Two Simple Quantum Algorithms; 4.1 Superdense Coding; 4.2 Quantum Teleportation; 4.3 Further Reading; 5 Quantum Parallelism; 5.1 Introduction; 5.2 Deutsch-Jozsa Algorithm; 5.3 Simon Algorithm; 5.4 Further Reading 6 Quantum Fourier Transform and its Applications6.1 Quantum Fourier Transform; 6.2 Quantum Phase Estimation; 6.2.1 Idealistic phase estimation; 6.2.2 Phase estimation in practical cases; 6.2.3 Quantitative analysis of the phase estimator; 6.2.4 Estimating quantum uncertainty; 6.3 Order Finding and Factoring - Shor Algorithm; 6.3.1 Connection between factoring and order finding; 6.3.2 Quantum-based order finding; 6.3.3 Error analysis and a numerical example; 6.4 QFT as generalized Hadamard transform; 6.5 Generalizations of order finding; 6.5.1 Period finding 6.5.2 Two-dimensional period finding and discrete logarithm6.6 Further Reading; Part III Quantum-assisted Solutions of Infocom Problems; 7 Searching in an Unsorted Database; 7.1 The Basic Grover Algorithm; 7.1.1 Initialization - quantum parallelism; 7.1.2 First stage of G - the Oracle; 7.1.3 Second stage of G - inversion about the average; 7.1.4 Required number of iterations; 7.1.5 Error analysis; 7.2 Quantum Counting; 7.2.1 Quantum counting based on phase estimation; 7.2.2 Error analysis; 7.2.3 Replacing quantum counting with indirect estimation on M; 7.3 Quantum Existence Testing 7.3.1 Error analysis |
Record Nr. | UNINA-9910877234303321 |
Imre Sandor
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Chichester, West Sussex, England ; ; Hoboken, NJ, : Wiley, c2005 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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