Quantum Computing for Everyone:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, MA ; London
The MIT Press
2019
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xviii, 194 Seiten Illustrationen |
| ISBN: | 9780262039253 |
Staff View
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Record in the Search Index
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| adam_text | Contents Acknowledgments Introduction 1 Spin x¡ xiii 1 The Quantum Clock 6 Measurements in the Same Direction 7 Measurements in Different Directions 7 Measurements Randomness 9 10 Photons and Polarization Conclusions 11 15 2 Linear Algebra 17 Complex Numbers versus Real Numbers Vectors 17 19 Diagrams of Vectors Lengths of Vectors 19 20 Scalar Multiplication Vector Addition 21 21 Orthogonal Vectors 23 Multiplying a Bra by a Ket Bra-Kets and Lengths Bra-Kets and Orthogonality Orthonormal Bases 23 24 24 25 Vectors as Linear Combinations of Basis Vectors Ordered Bases 29 Length of Vectors Matrices 30 30 27
viii Contents Matrix Computations 33 Orthogonal and Unitary Matrices Linear Algebra Toolbox Spin and Qubits Probability 34 35 37 37 Mathematics of Quantum Spin Equivalent State Vectors 38 41 The Basis Associated with a Given Spin Direction Rotating the Apparatus through 60° 43 45 The Mathematical Model for Photon Polarization 46 The Basis Associated with a Given Polarization Direction The Polarized Filters Experiments Qubits 47 49 Alice, Bob, and Eve 50 Probability Amplitudes and Interference 52 Alice, Bob, Eve, and the BB84 Protocol Entanglement 53 57 Alice and Bob s Qubits Are Not Entangled Unentangled Qubits Calculation Entangled Qubits Calculation 61 Superluminal Communication 62 The Standard Basis for Tensor Products How Do You Entangle Qubits? 64 65 Using the CNOT Gate to Entangle Qubits 71 Entangled Qubits in Different Bases Proof That -7= 72 Equals ՚7շ 72 —|fcb)®|fcb) + ֊|bI)®|b1)| Einstein and Local Realism 73 75 Einstein and Hidden Variables 77 A Classical Explanation of Entanglement Bell s Inequality 67 68 Entangled Quantum Clocks Bell s Inequality 57 59 79 The Answer of Quantum Mechanics 80 78 47
ix Contents The Classical Answer Measurement 81 84 The Ekert Protocol for Quantum Key Distribution 6 Classical Logic, Gates, and Circuits Logic Boolean Algebra 91 94 98 Circuits 99 NAND Is a Universal Gate 100 Gates and Computation Memory 101 103 Reversible Computation 103 Billiard Ball Computing 111 7 Quantum Gates and Circuits Qubits 89 90 Functional Completeness Gates 86 117 118 The CNOT Gate 118 Quantum Gates 120 Quantum Gates Acting on One Qubit 121 Are There Universal Quantum Gates? 123 No Cloning Theorem 124 Quantum Computation versus Classical Computation The Bell Circuit 126 127 Superdense Coding 129 Quantum Teleportation Error Correction 132 135 8 Quantum Algorithms 141 The Complexity Classes P and NP 142 Are Quantum Algorithms Faster Than Classical Ones? Query Complexity 145 Deutsch s Algorithm 145 The Kronecker Product of Hadamard Matrices The Deutsch-Jozsa Algorithm Simon s Algorithm 157 Complexity Classes 166 Quantum Algorithms 168 152 149 144
Contents x 9 Impact of Quantum Computing Shor s Algorithm and Cryptanalysis 171 172 Grover s Algorithm and Searching Data Chemistry and Simulation Hardware 176 181 182 Quantum Supremacy and Parallel Universes Computation Index 191 187 186
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| isbn | 9780262039253 |
| language | English |
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| spelling | Bernhardt, Christopher Verfasser (DE-588)171205804 aut Quantum Computing for Everyone Chris Bernhardt Cambridge, MA ; London The MIT Press 2019 xviii, 194 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Quantencomputer (DE-588)4533372-5 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Quantencomputer (DE-588)4533372-5 s DE-604 Erscheint auch als Cambridge, MA : MIT Press, 2019 Druck-Ausgabe, Paperback 978-0-262-53953-1 Erscheint auch als Online-Ausgabe 978-0-262-35091-4 Digitalisierung UB Augsburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030892243&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bernhardt, Christopher Quantum Computing for Everyone Quantencomputer (DE-588)4533372-5 gnd |
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| title | Quantum Computing for Everyone |
| title_auth | Quantum Computing for Everyone |
| title_exact_search | Quantum Computing for Everyone |
| title_full | Quantum Computing for Everyone Chris Bernhardt |
| title_fullStr | Quantum Computing for Everyone Chris Bernhardt |
| title_full_unstemmed | Quantum Computing for Everyone Chris Bernhardt |
| title_short | Quantum Computing for Everyone |
| title_sort | quantum computing for everyone |
| topic | Quantencomputer (DE-588)4533372-5 gnd |
| topic_facet | Quantencomputer Einführung |
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