| Description |
1 online resource |
| Series |
SpringerBriefs in Computer Science |
|
SpringerBriefs in computer science.
|
| Contents |
Intro -- Preface -- Contents -- About the Authors -- 1 Introduction -- 1.1 Qubit -- 1.2 Single Qubit Quantum Gates -- 1.3 Single Qubit Measurement -- 1.4 Multiple Qubits -- 1.5 Multi-Qubit Gates -- 1.6 Multi-Qubit Measurement -- 1.7 Quantum Teleportation -- 1.8 Superdense Coding -- 1.9 CHSH Game -- References -- 2 Deutsch-Jozsa and Walsh Spectrum -- 2.1 Boolean Functions -- 2.2 Walsh Transform -- 2.3 Boolean Function Implementation: Classical to Quantum -- 2.4 The Deutsch Algorithm -- 2.5 The Deutsch-Jozsa Algorithm -- 2.6 The Bernstein-Vazirani Algorithm |
|
2.7 Relation Between Deutsch-Jozsa and Walsh Spectrum -- References -- 3 Grover's Algorithm and Walsh Spectrum -- 3.1 Grover's Algorithm -- 3.1.1 Geometric Interpretation of Grover's Algorithm -- 3.2 Finding Satisfying Inputs of a Boolean Function -- 3.3 Nonlinearity -- 3.4 Linearity Testing -- 3.5 Resiliency -- References -- 4 Simon's Algorithm and Autocorrelation Spectrum -- 4.1 Simon's Algorithm -- 4.2 Autocorrelation Transform -- 4.2.1 Higher-Order Derivatives -- 4.2.2 Algorithm for Autocorrelation Sampling -- 4.3 Autocorrelation Estimation -- 4.4 Additional Implications -- References |
|
5 Conclusion and Research Direction -- 5.1 What Is Covered? -- 5.2 Recent Results -- References -- Index |
| Summary |
This book is a timely report of the state-of-the-art analytical techniques in the domain of quantum algorithms related to Boolean functions. It bridges the gap between recent developments in the area and the hands-on analysis of the spectral properties of Boolean functions from a cryptologic viewpoint. Topics covered in the book include Qubit, DeutschJozsa and Walsh spectrum, Grovers algorithm, Simons algorithm and autocorrelation spectrum. The book aims at encouraging readers to design and implement practical algorithms related to Boolean functions. Apart from combinatorial techniques, this book considers implementing related programs in a quantum computer. Researchers, practitioners and educators will find this book valuable |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from digital title page (viewed on August 10, 2021) |
| Subject |
Quantum computing.
|
|
Computer algorithms.
|
|
Algorithms
|
|
algorithms.
|
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Algoritmos computacionales
|
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Computer algorithms
|
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Quantum computing
|
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Ordinadors quàntics.
|
| Genre/Form |
Llibres electrònics.
|
| Form |
Electronic book
|
| Author |
Bera, Debajyoti
|
|
Maitra, Arpita
|
|
Maitra, Subhamoy, 1970-
|
| ISBN |
9811630615 |
|
9789811630613 |
|
