Quantum Computing Fundamentals
Autor William Easttom IIen Limba Engleză Paperback – 24 aug 2021
Notăm cu interes apariția volumului Quantum Computing Fundamentals, o resursă care se distinge prin rigoarea pedagogică și orientarea către aplicabilitate imediată. Cititorul care a aplicat deja ideile din Introduction to Quantum Computing with Q# and QDK de Filip Wojcieszyn va găsi aici o completare necesară, în special în zona fundamentelor matematice care sunt adesea trecute cu vederea sau presupuse a fi deja cunoscute. În timp ce alte lucrări din domeniu sar direct la algoritmi complecși, William Easttom II dedică primele capitole unei pregătiri sistematice.
Putem afirma că structura cărții este una progresivă, fiind împărțită în secțiuni care elimină lacunele de cunoștințe. Prima parte, dedicată materialului preparator, analizează în detaliu algebra liniară, matricile Pauli și numerele complexe, oferind reprezentări grafice și vectoriale esențiale. Reținem faptul că autorul nu se limitează la teorie; volumul ghidează cititorul prin utilizarea limbajului Q# și a simulatorului Microsoft, transformând conceptele abstracte în cod executabil. Această abordare practică este susținută de teste de verificare a competențelor la finalul fiecărui capitol, asigurând o tranziție fluidă către subiecte avansate. Comparativ cu Quantum Computing for Computer Scientists, care păstrează un ton academic riguros, lucrarea de față este mai degrabă un manual de atelier pentru programatori și ingineri, punând accent pe modul în care se construiesc efectiv aplicațiile cuantice într-un mediu simulat.
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Specificații
ISBN-13: 9780136793816
ISBN-10: 0136793819
Pagini: 384
Dimensiuni: 175 x 228 x 21 mm
Greutate: 0.65 kg
Editura: Pearson Education (US)
ISBN-10: 0136793819
Pagini: 384
Dimensiuni: 175 x 228 x 21 mm
Greutate: 0.65 kg
Editura: Pearson Education (US)
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De ce să citești această carte
Recomandăm această carte studenților și profesioniștilor IT care doresc să intre în domeniul calculului cuantic fără a fi descurajați de barierele matematice inițiale. Câștigul principal este stăpânirea limbajului Q# și a logicii cuantice prin exerciții practice. Este un ghid complet care vă oferă toate instrumentele necesare, de la algebra de bază până la rularea primelor programe pe simulatoarele Microsoft, fără a necesita investiții în echipamente costisitoare.
Despre autor
William Easttom II, cunoscut și sub numele de Chuck Easttom, este un expert de renume în securitate cibernetică, cercetător și instructor cu o vastă experiență în domeniu. Autor al numeroase lucrări tehnice, el este recunoscut pentru capacitatea sa de a preda subiecte complexe într-o manieră accesibilă. Expertiza sa se extinde de la criptografie la informatică legală și arhitecturi de calcul, fiind implicat activ în formarea noilor generații de ingineri prin cursuri și seminare practice. Abordarea sa în acest volum reflectă experiența sa pedagogică, punând accent pe verificarea constantă a cunoștințelor.
Notă biografică
Dr. Chuck Easttom is the author of 31 books, including several on computer security, forensics, and cryptography. His books are used at more than 60 universities. He has also authored scientific papers (more than 70 so far) on digital forensics, cyber warfare, cryptography, and applied mathematics. He is an inventor with 22 computer science patents. He holds a Doctor of Science in cyber security (dissertation topic: a study of lattice-based cryptographic algorithms for post-quantum computing). He also has a Ph.D. in Technology, focusing on nanotechnology (dissertation title: The Effects of Complexity on Carbon Nanotube Failures) and a Ph.D. in Computer Science (dissertation title: On the Application of Graph Theory to Digital Forensics). He also has three masters degrees (one in applied computer science, one in education, and one in systems engineering). He is a senior member of the IEEE and a senior member of the ACM (Association of Computing Machinery) as well as a member of IACR (International Association of Cryptological Research) and INCOSE (International Council on Systems Engineering). He is also a distinguished speaker of the ACM and a distinguished visitor of the IEEE Computer Society. He currently is an adjunct lecturer for Georgetown University.
Cuprins
Preface xvii
Part I Preparatory Material
Chapter 1: Introduction to Essential Linear Algebra 2
1.1 What Is Linear Algebra?.. . . . . . . . . . . . . . . . . . . . 3
1.2 Some Basic Algebra.. . . . . . . . . . . . . . . . . . . . . 4
1.3 Matrix Math.. . . . . . . . . . . . . . . . . . . . . . . . 10
1.4 Vectors and Vector Spaces.. . . . . . . . . . . . . . . . . . 23
1.5 Set Theory.. . . . . . . . . . . . . . . . . . . . . . . . . 25
1.6 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 29
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 29
Chapter 2: Complex Numbers 32
2.1 What Are Complex Numbers?.. . . . . . . . . . . . . . . . . 32
2.2 Algebra of Complex Numbers.. . . . . . . . . . . . . . . . . 34
2.3 Complex Numbers Graphically.. . . . . . . . . . . . . . . . 38
2.4 Vector Representations of Complex Numbers.. . . . . . . . . . 45
2.5 Pauli Matrices.. . . . . . . . . . . . . . . . . . . . . . . 48
2.6 Transcendental Numbers.. . . . . . . . . . . . . . . . . . . 56
2.7 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 58
Chapter 3: Basic Physics for Quantum Computing 60
3.1 The Journey to Quantum.. . . . . . . . . . . . . . . . . . . 61
3.2 Quantum Physics Essentials.. . . . . . . . . . . . . . . . . 65
3.3 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 77
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 77
Chapter 4: Fundamental Computer Science for Quantum Computing 80
4.1 Data Structures.. . . . . . . . . . . . . . . . . . . . . . . 81
4.2 Algorithms.. . . . . . . . . . . . . . . . . . . . . . . . . 88
4.3 Computational Complexity.. . . . . . . . . . . . . . . . . . 93
4.4 Coding Theory.. . . . . . . . . . . . . . . . . . . . . . . 95
4.5 Logic Gates.. . . . . . . . . . . . . . . . . . . . . . . . 96
4.6 Computer Architecture.. . . . . . . . . . . . . . . . . . . 100
4.7 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 103
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 103
Chapter 5: Basic Information Theory 106
5.1 Basic Probability.. . . . . . . . . . . . . . . . . . . . . . 107
5.2 Set Theory.. . . . . . . . . . . . . . . . . . . . . . . . 108
5.3 Information Theory.. . . . . . . . . . . . . . . . . . . . . 112
5.4 Quantum Information.. . . . . . . . . . . . . . . . . . . . 118
5.5 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 120
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 120
Part II Basic Quantum Computing
Chapter 6: Basic Quantum Theory 122
6.1 Further with Quantum Mechanics.. . . . . . . . . . . . . . . 123
6.2 Quantum Decoherence.. . . . . . . . . . . . . . . . . . . 129
6.3 Quantum Electrodynamics.. . . . . . . . . . . . . . . . . . 131
6.4 Quantum Chromodynamics.. . . . . . . . . . . . . . . . . 133
6.5 Feynman Diagram.. . . . . . . . . . . . . . . . . . . . . 134
6.6 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 136
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 136
Chapter 7: Quantum Entanglement and QKD 138
7.1 Quantum Entanglement.. . . . . . . . . . . . . . . . . . . 138
7.2 Interpretation.. . . . . . . . . . . . . . . . . . . . . . . 143
7.3 QKE.. . . . . . . . . . . . . . . . . . . . . . . . . . . 146
7.4 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 151
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 152
Chapter 8: Quantum Architecture 154
8.1 Further with Qubits.. . . . . . . . . . . . . . . . . . . . . 154
8.2 Quantum Gates.. . . . . . . . . . . . . . . . . . . . . . 158
8.3 More with Gates.. . . . . . . . . . . . . . . . . . . . . . 166
8.4 Quantum Circuits. . . . . . . . . . . . . . . . . . . . . . 167
8.5 The D-Wave Quantum Architecture.. . . . . . . . . . . . . . 169
8.6 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 172
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 172
Chapter 9: Quantum Hardware 174
9.1 Qubits.. . . . . . . . . . . . . . . . . . . . . . . . . . 174
9.2 How Many Qubits Are Needed?. . . . . . . . . . . . . . . . 181
9.3 Addressing Decoherence.. . . . . . . . . . . . . . . . . . 182
9.4 Topological Quantum Computing.. . . . . . . . . . . . . . . 186
9.5 Quantum Essentials.. . . . . . . . . . . . . . . . . . . . 187
9.6 Quantum Networking.. . . . . . . . . . . . . . . . . . . . 188
9.7 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 191
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 191
Chapter 10: Quantum Algorithms 194
10.1 What Is an Algorithm?. . . . . . . . . . . . . . . . . . . . 194
10.2 Deutschs Algorithm.. . . . . . . . . . . . . . . . . . . . 197
10.3 Deutsch-Jozsa Algorithm.. . . . . . . . . . . . . . . . . . 199
10.4 Bernstein-Vazirani Algorithm.. . . . . . . . . . . . . . . . . 201
10.5 Simons Algorithm.. . . . . . . . . . . . . . . . . . . . . 202
10.6 Shors Algorithm.. . . . . . . . . . . . . . . . . . . . . . 203
10.7 Grovers Algorithm. . . . . . . . . . . . . . . . . . . . . 209
10.8 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 211
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 211
Part III Quantum Computing and Cryptography
Chapter 11: Current Asymmetric Algorithms 212
11.1 RSA. . . . . . . . . . . . . . . . . . . . . . . . . . . 213
11.2 Diffie-Hellman.. . . . . . . . . . . . . . . . . . . . . . . 216
11.3 Elliptic Curve.. . . . . . . . . . . . . . . . . . . . . . . 219
11.4 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 227
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 227
Chapter 12: The Impact of Quantum Computing on Cryptography 228
12.1 Asymmetric Cryptography.. . . . . . . . . . . . . . . . . . 229
12.2 Specific Algorithms.. . . . . . . . . . . . . . . . . . . . . 231
12.3 Specific Applications. . . . . . . . . . . . . . . . . . . . 233
12.3.1 Digital Certificates. . . . . . . . . . . . . . . . . . 233
12.3.2 SSL/TLS. . . . . . . . . . . . . . . . . . . . . . 234
12.4 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 241
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 241
Chapter 13: Lattice-based Cryptography 244
13.1 Lattice-Based Mathematical Problems.. . . . . . . . . . . . . 245
13.2 Cryptographic Algorithms. . . . . . . . . . . . . . . . . . 249
13.3 Solving Lattice Problems.. . . . . . . . . . . . . . . . . . 256
13.4 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 259
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 259
Chapter 14: Multivariate Cryptography 262
14.1 Mathematics.. . . . . . . . . . . . . . . . . . . . . . . 262
14.2 Matsumoto-Imai.. . . . . . . . . . . . . . . . . . . . . . 264
14.3 Hidden Field Equations. . . . . . . . . . . . . . . . . . . 266
14.4 Multivariate Quadratic Digital Signature Scheme (MQDSS).. . . . 268
14.5 SFLASH.. . . . . . . . . . . . . . . . . . . . . . . . . 269
14.6 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 271
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 271
Chapter 15: Other Approaches to Quantum Resistant Cryptography 274
15.1 Hash Functions.. . . . . . . . . . . . . . . . . . . . . . 274
15.2 Code-Based Cryptography.. . . . . . . . . . . . . . . . . 279
15.3 Supersingular Isogeny Key Exchange.. . . . . . . . . . . . . 281
15.4 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 289
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 289
Part IV Quantum Programming
Chapter 16: Working with Q# 292
16.1 Basic Programming Concepts.. . . . . . . . . . . . . . . . 292
16.2 Getting Started with Q#.. . . . . . . . . . . . . . . . . . . 298
16.3 Grovers Algorithm. . . . . . . . . . . . . . . . . . . . . 303
16.4 Deutsch-Jozsa Algorithm.. . . . . . . . . . . . . . . . . . 307
16.5 Bit Flipping.. . . . . . . . . . . . . . . . . . . . . . . . 310
16.6 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 311
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 311
Chapter 17: Working with QASM 314
17.1 Basic Programming Concepts.. . . . . . . . . . . . . . . . 315
17.2 Getting Started with QASM.. . . . . . . . . . . . . . . . . 319
17.3 Quantum Error Correction. . . . . . . . . . . . . . . . . . 320
17.4 Grovers Algorithm. . . . . . . . . . . . . . . . . . . . . 322
17.5 Deutsch-Jozsa Algorithm.. . . . . . . . . . . . . . . . . . 326
17.6 Summary.. . . . . . . . . . . . . . . . . . . . . . . . . 328
Test Your Skills. . . . . . . . . . . . . . . . . . . . . . . 328
Appendix: Answers to Test Your Skills Questions 330
9780136793816, TOC, 5/7/2021
Descriere scurtă
Quantum Computing Fundamentals is the first systematic guidebook for the growing number of students who want to master the field's core concepts and practical techniques.
Leading security expert, researcher, instructor, and author Chuck Easttom II brings together all the knowledge you needincluding essentials that other books assume you already know, such as basic linear algebra, logic gates, and elementary quantum physics. Easttom's quizzes, hands-on exercises, and review sections help you build true mastery right now. He walks you through building real applications with Q#, Microsoft's powerful new quantum computing programming language, and using Microsoft's simulator so you don't need your own quantum computer.