Dancing with qubits: from qubits to algorithms, embark on the quantum computing journey shaping our future
"Dancing with Qubits, Second Edition, is a comprehensive quantum computing textbook that starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it can have a major impact. A full description of classical computing...
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Birmingham
Packt Publishing, Limited
2024
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Ausgabe: | 2nd edition |
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Online-Zugang: | Inhaltsverzeichnis |
Zusammenfassung: | "Dancing with Qubits, Second Edition, is a comprehensive quantum computing textbook that starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it can have a major impact. A full description of classical computing and the mathematical underpinnings of quantum computing follows, helping you better understand concepts such as superposition, entanglement, and interference. Next up are circuits and algorithms, both basic and sophisticated, as well as a survey of the physics and engineering ideas behind how quantum computing hardware is built. Finally, the book looks to the future and gives you guidance on understanding how further developments may affect you. This new edition is updated throughout with more than 100 new exercises and includes new chapters on NISQ algorithms and quantum machine learning. Understanding quantum computing requires a lot of math, and this book doesn't shy away from the necessary math concepts you'll need. Each topic is explained thoroughly and with helpful examples, leaving you with a solid foundation of knowledge in quantum computing that will help you pursue and leverage quantum-led technologies." -- |
Beschreibung: | xxii, 655 Seiten Illustrationen, Diagramme 24 cm |
ISBN: | 9781837636754 1837636753 |
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Contents Preface Foundations 1 Why Quantum Computing 1.1 1.2 1.3 1.4 1.5 1.6 1.7 2 They’re Not Old, They’re Classics 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 The mysterious quantum bit. I’m awake! . Why quantum computing is different. Applications to artificial intelligence. Applications to financial services . What about cryptography? . Summary. What’s inside a computer?. The power of two. True or false?. Logic circuits. Addition, logically. Algorithmically speaking. Growth, exponential and otherwise. How hard can that be?.
Summary. More Numbers Than You Can Imagine 3.1 3.2 3.3 3.4 3.5 Natural numbers. Whole numbers. Integers. Rational numbers. Real numbers. xiii 1 3 4 6 10 12 19 23 26 29 30 36 37 40 43 45 46 48 58 59 60 62 64 67 76
Contents 3.6 3.7 3.8 3.9 3.10 4 Planes and Circles and Spheres, Oh My 4.1 4.2 4.3 4.4 4.5 4.6 4.7 5 6 Structure. Modular arithmetic. Doubling down. Complex numbers, algebraically. Summary. Functions. The real plane . Trigonometry. From Cartesian to polar coordinates . The complex "plane”. Real three dimensions. Summary. Dimensions 91 98 100 101 108 111 112 115 128 134 135 139 141 143 5.1 R2 and C1. 144 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 5.10 5.11 5.12 5.13 5.14 Vector
spaces. Linear maps. Matrices. Matrix algebra . The determinant and trace. Length and preserving it. Unitary transformations. Change of basis. Eigenvectors and eigenvalues . Direct sums. Homomorphisms . Systems of linear equations. Summary. 149 151 160 173 179 188 198 201 206 212 215 219 221 What Do You Mean “Probably”? 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 Being discrete. More
formally. Wrong again?. Probability and error detection . Randomness. Expectation. Hellinger distance. Markov and Chebyshev go to the casino. Summary. 223 224 226 227 229 231 233 235 238 243
Contents II 7 Quantum Computing One Qubit 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 8 Two Qubits, Three 8.1 8.2 8.3 8.4 8.5 9 Tensor products. Entanglement. Multi-qubit gates. The cat. Summary. Wiring Up the Circuits 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 9.10 9.11 10 Introducing quantum bits. Bras and kets. The complex math and physics of a single qubit. A nonlinear projection. The Bloch sphere. Professor Hadamard, meet Professor Pauli. Gates and unitary matrices . Summary. So many gates. From gates to
circuits. Building blocks and universality. Arithmetic. Welcome to Delphi. Amplitude amplification and interference. Searching with Grover. The Deutsch-Jozsa algorithm. The Bernstein-Vazirani algorithm. Simon’s algorithm . Summary. From Circuits to Algorithms 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 Quantum Fourier Transform. Factoring. How hard can that be, again?. Phase kickback. Eigenvalue and phase estimation . Order and period finding. Shor's
factoring algorithm. Summary. 245 247 248 251 256 264 271 276 293 295 297 298 304 312 330 333 335 336 337 342 353 360 363 375 383 392 395 402 403 404 418 429 432 435 443 451 452
Contents 11 Getting Physical 11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 11.10 That's not logical. What does it take to be a qubit?. Quantum cores and interconnects. Decoherence . Error correction for physical qubits. Quantum benchmarks. The software stack and access. Simulation. Light and photons. Summary. III Advanced Topics 12 Considering NISQ Algorithms 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 12.10 13 Introduction to Quantum MachineLearning 13.1 13.2 13.3 13.4 13.5 13.6 14 Cost functions and optimization. Heuristics. Hermitian matrices again . Expectation and the variationalprinciple. Time
evolution. Parameterized circuits. The Hamiltonian. Quantum approximate optimization algorithm (QAOA). Is NISQ worth it?. Summary. What is machine learning?. Methods for encoding data . Quantum neural networks. Quantum kernels for SVMs. Other quantum machine learning research areas. Summary. Questions about the Future 14.1 14.2 14.3 14.4 14.5 Ecosystem and community. Applications and strategy. Computing system access. Software. Hardware.
453 454 455 458 461 472 477 487 489 496 505 507 509 510 519 528 533 535 537 539 542 550 551 553 554 556 569 574 583 583 585 586 587 589 589 591
Contents 14.6 Education. 14.7 Workforce. 14.8 Summary. Afterword Appendices A Quick Reference A.l A.2 A.3 A.4 A.5 В Notices B.l B.2 B.3 B.4 B.5 B.6 B.7 B.8 C One qubit kets. Two qubit kets. Pauli gates and matrices. Pauli strings of length 2. Greek letters . Photos, images, and diagrams. Marks. Creative Commons Attribution-NoDerivs 2.0 Generic. Creative Commons Attribution-ShareAlike 2.0 Germany. Creative Commons Attribution 3.0 Unported. Creative Commons Attribution-ShareAlike 3.0 Unported . Los Alamos National Laboratory . Python 3 license. Production Notes C.l C.2 C.3
C.4 How this book was built. Citing this book . Python version. lAT^X environment. 592 593 594 595 598 599 599 600 600 601 602 603 603 604 605 605 606 606 607 607 609 609 610 610 610 Other Books You May Enjoy 613 References 615 Index 635 Share your thoughts 653 Download a free PDF copy of this book 655 |
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isbn | 9781837636754 1837636753 |
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spelling | Sutor, Robert S. Verfasser (DE-588)1218721464 aut Dancing with qubits from qubits to algorithms, embark on the quantum computing journey shaping our future Robert S. Sutor 2nd edition Birmingham Packt Publishing, Limited 2024 xxii, 655 Seiten Illustrationen, Diagramme 24 cm txt rdacontent n rdamedia nc rdacarrier "Dancing with Qubits, Second Edition, is a comprehensive quantum computing textbook that starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it can have a major impact. A full description of classical computing and the mathematical underpinnings of quantum computing follows, helping you better understand concepts such as superposition, entanglement, and interference. Next up are circuits and algorithms, both basic and sophisticated, as well as a survey of the physics and engineering ideas behind how quantum computing hardware is built. Finally, the book looks to the future and gives you guidance on understanding how further developments may affect you. This new edition is updated throughout with more than 100 new exercises and includes new chapters on NISQ algorithms and quantum machine learning. Understanding quantum computing requires a lot of math, and this book doesn't shy away from the necessary math concepts you'll need. Each topic is explained thoroughly and with helpful examples, leaving you with a solid foundation of knowledge in quantum computing that will help you pursue and leverage quantum-led technologies." -- Quantencomputer (DE-588)4533372-5 gnd rswk-swf Qubit (DE-588)4842734-2 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Quantum computing Informatique quantique Quantencomputer (DE-588)4533372-5 s Qubit (DE-588)4842734-2 s Algorithmus (DE-588)4001183-5 s DE-604 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=035255344&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Sutor, Robert S. Dancing with qubits from qubits to algorithms, embark on the quantum computing journey shaping our future Quantencomputer (DE-588)4533372-5 gnd Qubit (DE-588)4842734-2 gnd Algorithmus (DE-588)4001183-5 gnd |
subject_GND | (DE-588)4533372-5 (DE-588)4842734-2 (DE-588)4001183-5 |
title | Dancing with qubits from qubits to algorithms, embark on the quantum computing journey shaping our future |
title_auth | Dancing with qubits from qubits to algorithms, embark on the quantum computing journey shaping our future |
title_exact_search | Dancing with qubits from qubits to algorithms, embark on the quantum computing journey shaping our future |
title_full | Dancing with qubits from qubits to algorithms, embark on the quantum computing journey shaping our future Robert S. Sutor |
title_fullStr | Dancing with qubits from qubits to algorithms, embark on the quantum computing journey shaping our future Robert S. Sutor |
title_full_unstemmed | Dancing with qubits from qubits to algorithms, embark on the quantum computing journey shaping our future Robert S. Sutor |
title_short | Dancing with qubits |
title_sort | dancing with qubits from qubits to algorithms embark on the quantum computing journey shaping our future |
title_sub | from qubits to algorithms, embark on the quantum computing journey shaping our future |
topic | Quantencomputer (DE-588)4533372-5 gnd Qubit (DE-588)4842734-2 gnd Algorithmus (DE-588)4001183-5 gnd |
topic_facet | Quantencomputer Qubit Algorithmus |
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