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ÊéÃûINTRODUCTION to
QUANTUM PHYSICS and
INFORMATION PROCESSING
×÷ÕßRadhika Vathsan
BITS Pilani K.K. Birla Goa Campus
India
Ò³Êý268
³ö°æÉçCRC

International Standard Book Number-13: 978-1-4822-3812-9 (eBook - PDF)
Preface ix
List of Figures xiii
List of Tables xvii
List of Boxes xix
List of Symbols and Notations xxi
About the Author xxiii
I Preliminaries 1
1 Introduction 3
1.1 Bits and Qubits . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.2 Properties of Qubits . . . . . . . . . . . . . . . . . . . . . . . 9
1.3 Practical Considerations . . . . . . . . . . . . . . . . . . . . 11
1.4 References for Further Reading . . . . . . . . . . . . . . . . . 13
2 A Simple Quantum System 15
2.1 The Stern{Gerlach Experiment . . . . . . . . . . . . . . . . . 15
2.2 Quantum State: Basis States . . . . . . . . . . . . . . . . . . 18
2.2.1 Superpositions . . . . . . . . . . . . . . . . . . . . . . 20
2.2.2 Choice of di erent bases . . . . . . . . . . . . . . . . . 21
2.2.3 Characteristics of basis states . . . . . . . . . . . . . . 22
2.3 An Experiment to Illustrate Superpositions . . . . . . . . . . 23
2.4 Interference and Complex Amplitudes . . . . . . . . . . . . . 24
II Theoretical Framework 31
3 The Essentials of Quantum Mechanics 33
3.1 The State Space . . . . . . . . . . . . . . . . . . . . . . . . . 33
3.1.1 Basis states . . . . . . . . . . . . . . . . . . . . . . . . 36
3.1.2 Inner product . . . . . . . . . . . . . . . . . . . . . . . 37
3.1.2.1 Meaning of inner product . . . . . . . . . . . 39
3.1.3 Phases . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
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