Dancing with qubits: how quantum computing works and how it can change the world
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Birmingham ; Mumbai
Packt Publishing
[2019]
|
| Series: | Expert insight
|
| Subjects: | |
| Online Access: | FHD01 FUBA1 |
| Item Description: | 7.3 The complex math and physics of a single qubit |
| Physical Description: | 1 Online-Ressource (xviii, 488 Seiten) Diagramme |
| ISBN: | 9781838825256 |
Staff View
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| 505 | 8 | |a Cover -- Title Page -- Copyright -- Packt page -- Dedication -- Contributors -- Contents -- List of Figures -- Preface -- Chapter 1: Why Quantum Computing? -- 1.1 The mysterious quantum bit -- 1.2 I'm awake! -- 1.3 Why quantum computing is different -- 1.4 Applications to artificial intelligence -- 1.5 Applications to financial services -- 1.6 What about cryptography? -- 1.7 Summary -- I Foundations -- Chapter 2: They're Not Old, They're Classics -- 2.1 What's inside a computer? -- 2.2 The power of two -- 2.3 True or false? -- 2.4 Logic circuits -- 2.5 Addition, logically | |
| 505 | 8 | |a 2.6 Algorithmically speaking -- 2.7 Growth, exponential and otherwise -- 2.8 How hard can that be? -- 2.8.1 Sorting -- 2.8.2 Searching -- 2.9 Summary -- Chapter 3: More Numbers than You Can Imagine -- 3.1 Natural numbers -- 3.2 Whole numbers -- 3.3 Integers -- 3.4 Rational numbers -- 3.4.1 Fractions -- 3.4.2 Getting formal again -- 3.5 Real numbers -- 3.5.1 Decimals -- 3.5.2 Irrationals and limits -- 3.5.3 Binary forms -- 3.5.4 Continued fractions -- 3.6 Structure -- 3.6.1 Groups -- 3.6.2 Rings -- 3.6.3 Fields -- 3.6.4 Even greater abstraction -- 3.7 Modular arithmetic -- 3.8 Doubling down | |
| 505 | 8 | |a 3.9 Complex numbers, algebraically -- 3.9.1 Arithmetic -- 3.9.2 Conjugation -- 3.9.3 Units -- 3.9.4 Polynomials and roots -- 3.10 Summary -- Chapter 4: Planes and Circles and Spheres, Oh My -- 4.1 Functions -- 4.2 The real plane -- 4.2.1 Moving to two dimensions -- 4.2.2 Distance and length -- 4.2.3 Geometric figures in the real plane -- 4.2.4 Exponentials and logarithms -- 4.3 Trigonometry -- 4.3.1 The fundamental functions -- 4.3.2 The inverse functions -- 4.3.3 Additional identities -- 4.4 From Cartesian to polar coordinates -- 4.5 The complex ''plane'' -- 4.6 Real three dimensions | |
| 505 | 8 | |a 4.7 Summary -- Chapter 5: Dimensions -- 5.1 R2 and C2 -- 5.2 Vector spaces -- 5.3 Linear maps -- 5.3.1 Algebraic structure of linear transformations -- 5.3.2 Example linear transformations on R2 -- 5.4 Matrices -- 5.4.1 Notation and terminology -- 5.4.2 Matrices and linear maps -- 5.5 Matrix algebra -- 5.5.1 Arithmetic of general matrices -- 5.5.2 Arithmetic of square matrices -- 5.6 Cartesian products -- 5.7 Length and preserving it -- 5.7.1 Dot products -- 5.7.2 Inner products -- 5.7.3 Euclidean norm -- 5.7.4 Reflections again -- 5.7.5 Unitary transformations | |
| 505 | 8 | |a 5.7.6 Systems of linear equations -- 5.8 Change of basis -- 5.9 Eigenvectors and eigenvalues -- 5.10 Direct sums -- 5.11 Homomorphisms -- 5.11.1 Group homomorphisms -- 5.11.2 Ring and field homomorphisms -- 5.11.3 Vector space homomorphisms -- 5.12 Summary -- Chapter 6: What Do You Mean ""Probably""? -- 6.1 Being discrete -- 6.2 More formally -- 6.3 Wrong again? -- 6.4 Probability and error detection -- 6.5 Randomness -- 6.6 Expectation -- 6.7 Markov and Chebyshev go to the casino -- 6.8 Summary -- II Quantum Computing -- Chapter 7: One Qubit -- 7.1 Introducing quantum bits -- 7.2 Bras and kets | |
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Record in the Search Index
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| author | Sutor, Robert S. |
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| author_facet | Sutor, Robert S. |
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| contents | Cover -- Title Page -- Copyright -- Packt page -- Dedication -- Contributors -- Contents -- List of Figures -- Preface -- Chapter 1: Why Quantum Computing? -- 1.1 The mysterious quantum bit -- 1.2 I'm awake! -- 1.3 Why quantum computing is different -- 1.4 Applications to artificial intelligence -- 1.5 Applications to financial services -- 1.6 What about cryptography? -- 1.7 Summary -- I Foundations -- Chapter 2: They're Not Old, They're Classics -- 2.1 What's inside a computer? -- 2.2 The power of two -- 2.3 True or false? -- 2.4 Logic circuits -- 2.5 Addition, logically 2.6 Algorithmically speaking -- 2.7 Growth, exponential and otherwise -- 2.8 How hard can that be? -- 2.8.1 Sorting -- 2.8.2 Searching -- 2.9 Summary -- Chapter 3: More Numbers than You Can Imagine -- 3.1 Natural numbers -- 3.2 Whole numbers -- 3.3 Integers -- 3.4 Rational numbers -- 3.4.1 Fractions -- 3.4.2 Getting formal again -- 3.5 Real numbers -- 3.5.1 Decimals -- 3.5.2 Irrationals and limits -- 3.5.3 Binary forms -- 3.5.4 Continued fractions -- 3.6 Structure -- 3.6.1 Groups -- 3.6.2 Rings -- 3.6.3 Fields -- 3.6.4 Even greater abstraction -- 3.7 Modular arithmetic -- 3.8 Doubling down 3.9 Complex numbers, algebraically -- 3.9.1 Arithmetic -- 3.9.2 Conjugation -- 3.9.3 Units -- 3.9.4 Polynomials and roots -- 3.10 Summary -- Chapter 4: Planes and Circles and Spheres, Oh My -- 4.1 Functions -- 4.2 The real plane -- 4.2.1 Moving to two dimensions -- 4.2.2 Distance and length -- 4.2.3 Geometric figures in the real plane -- 4.2.4 Exponentials and logarithms -- 4.3 Trigonometry -- 4.3.1 The fundamental functions -- 4.3.2 The inverse functions -- 4.3.3 Additional identities -- 4.4 From Cartesian to polar coordinates -- 4.5 The complex ''plane'' -- 4.6 Real three dimensions 4.7 Summary -- Chapter 5: Dimensions -- 5.1 R2 and C2 -- 5.2 Vector spaces -- 5.3 Linear maps -- 5.3.1 Algebraic structure of linear transformations -- 5.3.2 Example linear transformations on R2 -- 5.4 Matrices -- 5.4.1 Notation and terminology -- 5.4.2 Matrices and linear maps -- 5.5 Matrix algebra -- 5.5.1 Arithmetic of general matrices -- 5.5.2 Arithmetic of square matrices -- 5.6 Cartesian products -- 5.7 Length and preserving it -- 5.7.1 Dot products -- 5.7.2 Inner products -- 5.7.3 Euclidean norm -- 5.7.4 Reflections again -- 5.7.5 Unitary transformations 5.7.6 Systems of linear equations -- 5.8 Change of basis -- 5.9 Eigenvectors and eigenvalues -- 5.10 Direct sums -- 5.11 Homomorphisms -- 5.11.1 Group homomorphisms -- 5.11.2 Ring and field homomorphisms -- 5.11.3 Vector space homomorphisms -- 5.12 Summary -- Chapter 6: What Do You Mean ""Probably""? -- 6.1 Being discrete -- 6.2 More formally -- 6.3 Wrong again? -- 6.4 Probability and error detection -- 6.5 Randomness -- 6.6 Expectation -- 6.7 Markov and Chebyshev go to the casino -- 6.8 Summary -- II Quantum Computing -- Chapter 7: One Qubit -- 7.1 Introducing quantum bits -- 7.2 Bras and kets |
| ctrlnum | (OCoLC)1199068369 (DE-599)BVBBV046916025 |
| discipline | Informatik |
| discipline_str_mv | Informatik |
| format | Electronic eBook |
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| id | DE-604.BV046916025 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T15:29:40Z |
| indexdate | 2024-07-10T08:57:24Z |
| institution | BVB |
| isbn | 9781838825256 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032325347 |
| oclc_num | 1199068369 |
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| physical | 1 Online-Ressource (xviii, 488 Seiten) Diagramme |
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| publishDate | 2019 |
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| publisher | Packt Publishing |
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| series2 | Expert insight |
| spelling | Sutor, Robert S. Verfasser (DE-588)1218721464 aut Dancing with qubits how quantum computing works and how it can change the world Robert S. Sutor Birmingham ; Mumbai Packt Publishing [2019] 1 Online-Ressource (xviii, 488 Seiten) Diagramme txt rdacontent c rdamedia cr rdacarrier Expert insight 7.3 The complex math and physics of a single qubit Cover -- Title Page -- Copyright -- Packt page -- Dedication -- Contributors -- Contents -- List of Figures -- Preface -- Chapter 1: Why Quantum Computing? -- 1.1 The mysterious quantum bit -- 1.2 I'm awake! -- 1.3 Why quantum computing is different -- 1.4 Applications to artificial intelligence -- 1.5 Applications to financial services -- 1.6 What about cryptography? -- 1.7 Summary -- I Foundations -- Chapter 2: They're Not Old, They're Classics -- 2.1 What's inside a computer? -- 2.2 The power of two -- 2.3 True or false? -- 2.4 Logic circuits -- 2.5 Addition, logically 2.6 Algorithmically speaking -- 2.7 Growth, exponential and otherwise -- 2.8 How hard can that be? -- 2.8.1 Sorting -- 2.8.2 Searching -- 2.9 Summary -- Chapter 3: More Numbers than You Can Imagine -- 3.1 Natural numbers -- 3.2 Whole numbers -- 3.3 Integers -- 3.4 Rational numbers -- 3.4.1 Fractions -- 3.4.2 Getting formal again -- 3.5 Real numbers -- 3.5.1 Decimals -- 3.5.2 Irrationals and limits -- 3.5.3 Binary forms -- 3.5.4 Continued fractions -- 3.6 Structure -- 3.6.1 Groups -- 3.6.2 Rings -- 3.6.3 Fields -- 3.6.4 Even greater abstraction -- 3.7 Modular arithmetic -- 3.8 Doubling down 3.9 Complex numbers, algebraically -- 3.9.1 Arithmetic -- 3.9.2 Conjugation -- 3.9.3 Units -- 3.9.4 Polynomials and roots -- 3.10 Summary -- Chapter 4: Planes and Circles and Spheres, Oh My -- 4.1 Functions -- 4.2 The real plane -- 4.2.1 Moving to two dimensions -- 4.2.2 Distance and length -- 4.2.3 Geometric figures in the real plane -- 4.2.4 Exponentials and logarithms -- 4.3 Trigonometry -- 4.3.1 The fundamental functions -- 4.3.2 The inverse functions -- 4.3.3 Additional identities -- 4.4 From Cartesian to polar coordinates -- 4.5 The complex ''plane'' -- 4.6 Real three dimensions 4.7 Summary -- Chapter 5: Dimensions -- 5.1 R2 and C2 -- 5.2 Vector spaces -- 5.3 Linear maps -- 5.3.1 Algebraic structure of linear transformations -- 5.3.2 Example linear transformations on R2 -- 5.4 Matrices -- 5.4.1 Notation and terminology -- 5.4.2 Matrices and linear maps -- 5.5 Matrix algebra -- 5.5.1 Arithmetic of general matrices -- 5.5.2 Arithmetic of square matrices -- 5.6 Cartesian products -- 5.7 Length and preserving it -- 5.7.1 Dot products -- 5.7.2 Inner products -- 5.7.3 Euclidean norm -- 5.7.4 Reflections again -- 5.7.5 Unitary transformations 5.7.6 Systems of linear equations -- 5.8 Change of basis -- 5.9 Eigenvectors and eigenvalues -- 5.10 Direct sums -- 5.11 Homomorphisms -- 5.11.1 Group homomorphisms -- 5.11.2 Ring and field homomorphisms -- 5.11.3 Vector space homomorphisms -- 5.12 Summary -- Chapter 6: What Do You Mean ""Probably""? -- 6.1 Being discrete -- 6.2 More formally -- 6.3 Wrong again? -- 6.4 Probability and error detection -- 6.5 Randomness -- 6.6 Expectation -- 6.7 Markov and Chebyshev go to the casino -- 6.8 Summary -- II Quantum Computing -- Chapter 7: One Qubit -- 7.1 Introducing quantum bits -- 7.2 Bras and kets Quantum computing Quantum computing fast Qubit (DE-588)4842734-2 gnd rswk-swf Quantencomputer (DE-588)4533372-5 gnd rswk-swf Quantencomputer (DE-588)4533372-5 s Qubit (DE-588)4842734-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-83882-736-6 |
| spellingShingle | Sutor, Robert S. Dancing with qubits how quantum computing works and how it can change the world Cover -- Title Page -- Copyright -- Packt page -- Dedication -- Contributors -- Contents -- List of Figures -- Preface -- Chapter 1: Why Quantum Computing? -- 1.1 The mysterious quantum bit -- 1.2 I'm awake! -- 1.3 Why quantum computing is different -- 1.4 Applications to artificial intelligence -- 1.5 Applications to financial services -- 1.6 What about cryptography? -- 1.7 Summary -- I Foundations -- Chapter 2: They're Not Old, They're Classics -- 2.1 What's inside a computer? -- 2.2 The power of two -- 2.3 True or false? -- 2.4 Logic circuits -- 2.5 Addition, logically 2.6 Algorithmically speaking -- 2.7 Growth, exponential and otherwise -- 2.8 How hard can that be? -- 2.8.1 Sorting -- 2.8.2 Searching -- 2.9 Summary -- Chapter 3: More Numbers than You Can Imagine -- 3.1 Natural numbers -- 3.2 Whole numbers -- 3.3 Integers -- 3.4 Rational numbers -- 3.4.1 Fractions -- 3.4.2 Getting formal again -- 3.5 Real numbers -- 3.5.1 Decimals -- 3.5.2 Irrationals and limits -- 3.5.3 Binary forms -- 3.5.4 Continued fractions -- 3.6 Structure -- 3.6.1 Groups -- 3.6.2 Rings -- 3.6.3 Fields -- 3.6.4 Even greater abstraction -- 3.7 Modular arithmetic -- 3.8 Doubling down 3.9 Complex numbers, algebraically -- 3.9.1 Arithmetic -- 3.9.2 Conjugation -- 3.9.3 Units -- 3.9.4 Polynomials and roots -- 3.10 Summary -- Chapter 4: Planes and Circles and Spheres, Oh My -- 4.1 Functions -- 4.2 The real plane -- 4.2.1 Moving to two dimensions -- 4.2.2 Distance and length -- 4.2.3 Geometric figures in the real plane -- 4.2.4 Exponentials and logarithms -- 4.3 Trigonometry -- 4.3.1 The fundamental functions -- 4.3.2 The inverse functions -- 4.3.3 Additional identities -- 4.4 From Cartesian to polar coordinates -- 4.5 The complex ''plane'' -- 4.6 Real three dimensions 4.7 Summary -- Chapter 5: Dimensions -- 5.1 R2 and C2 -- 5.2 Vector spaces -- 5.3 Linear maps -- 5.3.1 Algebraic structure of linear transformations -- 5.3.2 Example linear transformations on R2 -- 5.4 Matrices -- 5.4.1 Notation and terminology -- 5.4.2 Matrices and linear maps -- 5.5 Matrix algebra -- 5.5.1 Arithmetic of general matrices -- 5.5.2 Arithmetic of square matrices -- 5.6 Cartesian products -- 5.7 Length and preserving it -- 5.7.1 Dot products -- 5.7.2 Inner products -- 5.7.3 Euclidean norm -- 5.7.4 Reflections again -- 5.7.5 Unitary transformations 5.7.6 Systems of linear equations -- 5.8 Change of basis -- 5.9 Eigenvectors and eigenvalues -- 5.10 Direct sums -- 5.11 Homomorphisms -- 5.11.1 Group homomorphisms -- 5.11.2 Ring and field homomorphisms -- 5.11.3 Vector space homomorphisms -- 5.12 Summary -- Chapter 6: What Do You Mean ""Probably""? -- 6.1 Being discrete -- 6.2 More formally -- 6.3 Wrong again? -- 6.4 Probability and error detection -- 6.5 Randomness -- 6.6 Expectation -- 6.7 Markov and Chebyshev go to the casino -- 6.8 Summary -- II Quantum Computing -- Chapter 7: One Qubit -- 7.1 Introducing quantum bits -- 7.2 Bras and kets Quantum computing Quantum computing fast Qubit (DE-588)4842734-2 gnd Quantencomputer (DE-588)4533372-5 gnd |
| subject_GND | (DE-588)4842734-2 (DE-588)4533372-5 |
| title | Dancing with qubits how quantum computing works and how it can change the world |
| title_auth | Dancing with qubits how quantum computing works and how it can change the world |
| title_exact_search | Dancing with qubits how quantum computing works and how it can change the world |
| title_exact_search_txtP | Dancing with qubits how quantum computing works and how it can change the world |
| title_full | Dancing with qubits how quantum computing works and how it can change the world Robert S. Sutor |
| title_fullStr | Dancing with qubits how quantum computing works and how it can change the world Robert S. Sutor |
| title_full_unstemmed | Dancing with qubits how quantum computing works and how it can change the world Robert S. Sutor |
| title_short | Dancing with qubits |
| title_sort | dancing with qubits how quantum computing works and how it can change the world |
| title_sub | how quantum computing works and how it can change the world |
| topic | Quantum computing Quantum computing fast Qubit (DE-588)4842734-2 gnd Quantencomputer (DE-588)4533372-5 gnd |
| topic_facet | Quantum computing Qubit Quantencomputer |
| work_keys_str_mv | AT sutorroberts dancingwithqubitshowquantumcomputingworksandhowitcanchangetheworld |