Linked e-resources
Details
Table of Contents
Intro
Acknowledgments
Contents
Image Credits
Reading Guide
Introduction
The Audience of this Book
Opportunities for the Readers
Structure of the Book
Chapter 1
Foundations of Quantum Mechanics
Chapter 2
Diracś bra-ket notation and Hermitian Operators
Chapter 3
The Quantum Superposition Principle and Bloch Sphere Representation
Chapter 4
Qubit Modalities
Chapter 5
Quantum Circuits and DiVincenzo Criteria
Chapter 6
Quantum Communications
Chapter 7
Quantum Algorithms
Chapter 8
Adiabatic Optimization and Quantum Annealing
Chapter 9
Quantum Error Correction
Chapter 10
Conclusion
Reading Guide
Note:
Note:
Conventions
Indexing Qubits
Coloring Scheme for Bloch Spheres
Source Code Listings
Keeping the Connections
About the Author
Part I
Foundations
1: Foundations of Quantum Mechanics
1.1 Matter
1.1.1 States of Matter
1.2 Atoms, Elementary Particles, and Molecules
1.2.1 Atoms
1.2.2 The Periodic Table
1.2.3 Bohrś Model of the Atom
1.2.4 Elementary Particles
1.2.5 Molecules
1.3 Light and Quantization of Energy
1.3.1 Blackbody Radiation
1.3.2 Photoelectric Effect and the Concept of Photons
1.3.3 What Happens When Light Hits an Atom?
1.4 Electron Configuration
1.4.1 Pauliś Exclusion Principle
1.4.2 Principal Quantum Number n
1.4.3 Orbital Angular Momentum Quantum Number l
1.5 Wave-Particle Duality and Probabilistic Nature
1.5.1 Maxwellś Electromagnetic Theory
1.5.2 De Broglie Waves
1.5.3 Youngś Double-Slit Experiment
1.6 Wavefunctions and Probability Amplitudes
1.6.1 Realism in Physics
1.6.2 What Happens When We Measure a Quantum System?
1.6.3 Heisenbergś Uncertainty Principle
1.6.4 Weak Measurements
Example 1.1
1.7 Some Exotic States of Matter
1.7.1 Quasiparticles and Collective Excitations
1.7.2 Phonons
1.7.3 Cooper Pairs (or the BCS Pairs)
1.7.4 Superconductors
1.7.5 s-Wave, d-Wave, and p-Wave Superconductors
1.7.6 Anyons
1.7.7 Majorana Fermions
1.8 Summary
Practice Problems
References
2: Diracś Bra-ket Notation and Hermitian Operators
2.1 Scalars
2.2 Complex Numbers
2.2.1 Complex Conjugate
2.2.2 Norm of a Complex Number
2.3 Vectors
2.3 Example 2.1
2.3.1 Magnitude of Vectors
2.3.2 Unit Vector
2.3.3 Addition and Subtraction of Vectors
2.3.4 Multiplication of Vectors
2.3.4.1 Dot Product or Scalar Product of Vectors
2.3.4.2 Vector Product or Cross Product of Vectors
2.4 Matrices
2.4.1 Properties of Matrices
2.4 Example 2.2
2.4 Example 2.3
2.4 Example 2.4
2.4 Example 2.5
2.4 Example 2.6
2.4 Exercise 2.1
2.4 Exercise 2.2
2.4 Exercise 2.3
2.4.2 Permutation Matrices
2.4.3 Hermitian Matrix
2.4.4 Unitary Matrices
2.4.5 Pauli Matrices
2.4 Exercise 2.4
2.4 Exercise 2.5
2.5 Linear Vector Spaces
2.5.1 Linear Independence
Acknowledgments
Contents
Image Credits
Reading Guide
Introduction
The Audience of this Book
Opportunities for the Readers
Structure of the Book
Chapter 1
Foundations of Quantum Mechanics
Chapter 2
Diracś bra-ket notation and Hermitian Operators
Chapter 3
The Quantum Superposition Principle and Bloch Sphere Representation
Chapter 4
Qubit Modalities
Chapter 5
Quantum Circuits and DiVincenzo Criteria
Chapter 6
Quantum Communications
Chapter 7
Quantum Algorithms
Chapter 8
Adiabatic Optimization and Quantum Annealing
Chapter 9
Quantum Error Correction
Chapter 10
Conclusion
Reading Guide
Note:
Note:
Conventions
Indexing Qubits
Coloring Scheme for Bloch Spheres
Source Code Listings
Keeping the Connections
About the Author
Part I
Foundations
1: Foundations of Quantum Mechanics
1.1 Matter
1.1.1 States of Matter
1.2 Atoms, Elementary Particles, and Molecules
1.2.1 Atoms
1.2.2 The Periodic Table
1.2.3 Bohrś Model of the Atom
1.2.4 Elementary Particles
1.2.5 Molecules
1.3 Light and Quantization of Energy
1.3.1 Blackbody Radiation
1.3.2 Photoelectric Effect and the Concept of Photons
1.3.3 What Happens When Light Hits an Atom?
1.4 Electron Configuration
1.4.1 Pauliś Exclusion Principle
1.4.2 Principal Quantum Number n
1.4.3 Orbital Angular Momentum Quantum Number l
1.5 Wave-Particle Duality and Probabilistic Nature
1.5.1 Maxwellś Electromagnetic Theory
1.5.2 De Broglie Waves
1.5.3 Youngś Double-Slit Experiment
1.6 Wavefunctions and Probability Amplitudes
1.6.1 Realism in Physics
1.6.2 What Happens When We Measure a Quantum System?
1.6.3 Heisenbergś Uncertainty Principle
1.6.4 Weak Measurements
Example 1.1
1.7 Some Exotic States of Matter
1.7.1 Quasiparticles and Collective Excitations
1.7.2 Phonons
1.7.3 Cooper Pairs (or the BCS Pairs)
1.7.4 Superconductors
1.7.5 s-Wave, d-Wave, and p-Wave Superconductors
1.7.6 Anyons
1.7.7 Majorana Fermions
1.8 Summary
Practice Problems
References
2: Diracś Bra-ket Notation and Hermitian Operators
2.1 Scalars
2.2 Complex Numbers
2.2.1 Complex Conjugate
2.2.2 Norm of a Complex Number
2.3 Vectors
2.3 Example 2.1
2.3.1 Magnitude of Vectors
2.3.2 Unit Vector
2.3.3 Addition and Subtraction of Vectors
2.3.4 Multiplication of Vectors
2.3.4.1 Dot Product or Scalar Product of Vectors
2.3.4.2 Vector Product or Cross Product of Vectors
2.4 Matrices
2.4.1 Properties of Matrices
2.4 Example 2.2
2.4 Example 2.3
2.4 Example 2.4
2.4 Example 2.5
2.4 Example 2.6
2.4 Exercise 2.1
2.4 Exercise 2.2
2.4 Exercise 2.3
2.4.2 Permutation Matrices
2.4.3 Hermitian Matrix
2.4.4 Unitary Matrices
2.4.5 Pauli Matrices
2.4 Exercise 2.4
2.4 Exercise 2.5
2.5 Linear Vector Spaces
2.5.1 Linear Independence