Quantum Computing and Communications: An Engineering Approach

Contents

    Preface

    How to use this book

    Acknowledgments

    List of Figures

    Acronyms

Part I   Introduction to Quantum Computing

1   Motivations

1.1   Life Cycle of a Well-known Invention

1.2   What about Computers and Computing?

1.3   Let us Play Marbles

2   Quantum Computing Basics

2.1   Mystery of Probabilistic Gate

2.2   The Postulates of Quantum Mechanics

2.3   Qbits and Qregisters

2.4   Elementary Quantum Gates

2.5   General Description of the Interferometer

2.6   Entanglement

2.6.1   A surprising quantum state – entanglement

2.6.2   The CNOT gate as classical copy machine and quantum entangler

2.6.3   Bell states

2.6.4   Entanglement with the environment – decoherence

2.6.5   The EPR paradox and the Bell inequality

2.7   No Cloning Theorem

2.8   How to Prepare an Arbitrary Superposition

2.9   Further Reading

3   Measurements

3.1   General Measurements

3.2   Projective Measurements

3.2.1   Measurement operators and the 3^rd Postulate in the case of projective measurement

3.2.2   Measurement using the computational basis states

3.2.3   Observable and projective measurement

3.2.4   Repeated projective measurement

3.2.5   CHSH inequality with entangled particles

3.3   Positive Operator Valued Measurement

3.3.1   Measurement operators and the 3^rd Postulate in the case of POVM

3.3.2   How to apply POVM operators

3.4   Relations among the Measurement Types

3.5   Quantum ...