| Foreword | p. xi |
| Acknowledgments | p. xv |
| A User's Guide | p. xvii |
| Notions and Formalism | p. 1 |
| Introducing Quantum Physics with Polarization | p. 3 |
| Polarization of a Light Beam | p. 3 |
| Definition and basic measurement | p. 3 |
| Series of polarizers | p. 4 |
| Polarization in vector notation | p. 6 |
| Polarizing beam-splitters as measurement devices | p. 7 |
| Polarization of One Photon | p. 9 |
| Describing one photon | p. 9 |
| Computations using Dirac notation | p. 10 |
| The meaning of probabilities | p. 11 |
| Describing Two Photons | p. 13 |
| Classical composite systems | p. 13 |
| Four states of two photons | p. 13 |
| All the states of two photons | p. 14 |
| The meaning of entanglement | p. 15 |
| Transformations of States | p. 16 |
| Summary | p. 17 |
| The Broader View | p. 18 |
| Vectors | p. 18 |
| Probability | p. 18 |
| Degree of freedom | p. 19 |
| General References | p. 21 |
| Solutions to the Exercises | p. 22 |
| Six Pieces | p. 25 |
| Quantum Cryptography | p. 27 |
| One-Time Pad | p. 29 |
| The Idea of Quantum Key Distribution | p. 30 |
| The BB84 Protocol | p. 31 |
| The steps of the protocol | p. 31 |
| Statistics from quantum measurements | p. 32 |
| Extracting the secret key | p. 35 |
| More on Classical Post-Processing | p. 36 |
| Error correction | p. 36 |
| Privacy amplification | p. 37 |
| Summary | p. 38 |
| The Broader View | p. 38 |
| The power of Eve and the power of quantum | p. 38 |
| Practical quantum cryptography | p. 39 |
| Information theory | p. 40 |
| References and Further Reading | p. 40 |
| Solutions to the Exercises | p. 41 |
| Quantum Cloning | p. 47 |
| The No-Cloning Theorem | p. 47 |
| Trivial Cloning of Quantum States | p. 48 |
| Optimal Cloning of Quantum States | p. 49 |
| Other Quantum Cloning Procedures | p. 50 |
| Stimulated Emission and Quantum Cloning | p. 51 |
| Summary | p. 52 |
| The Broader View | p. 53 |
| Relation with biological cloning | p. 53 |
| Relation with broadcasting in telecommunication | p. 53 |
| References and Further Reading | p. 54 |
| Solutions to the Exercises | p. 54 |
| Quantum Teleportation | p. 59 |
| Teleportation Protocol | p. 59 |
| Study of Information Transfer | p. 62 |
| Summary | p. 63 |
| The Broader View | p. 63 |
| Entanglement swapping | p. 63 |
| Physics and science fiction | p. 64 |
| References and Further Reading | p. 65 |
| Solutions to the Exercises | p. 66 |
| Quantum Correlations and Bell's Inequality | p. 71 |
| Quantum Description | p. 71 |
| Experimental setup | p. 72 |
| Source of entangled photons | p. 72 |
| Mechanism for correlations? | p. 74 |
| Attempts at Classical Explanations | p. 74 |
| Bell's Theorem | p. 75 |
| Summary | p. 77 |
| The Broader View | p. 77 |
| The danger of words | p. 77 |
| Incompatible physical quantities | p. 79 |
| True randomness, true secrecy | p. 80 |
| About loopholes | p. 80 |
| References and Further Reading | p. 82 |
| Solutions to the Exercises | p. 82 |
| The GHZ Argument for Quantum Correlations | p. 87 |
| Quantum Description | p. 87 |
| The setup | p. 87 |
| Measurement X-X-X | p. 88 |
| Measurement X-Y-Y | p. 90 |
| Impossibility of Classical Mechanisms for Correlations | p. 91 |
| Summary | p. 92 |
| The Broader View | p. 92 |
| Falsification of Leggett's model | p. 92 |
| References and Further Reading | p. 93 |
| Solutions to the Exercises | p. 94 |
| Measurement and Decoherence | p. 97 |
| Measurement and Entanglement | p. 97 |
| Decoherence | p. 99 |
| Summary | p. 102 |
| The Broader View | p. 102 |
| The measurement problem | p. 102 |
| Quantum computing | p. 104 |
| References and Further Reading | p. 106 |
| Solutions to the Exercises | p. 106 |
| Beyond the Six Pieces | p. 113 |
| Other Two-Level Systems | p. 115 |
| Spin 1/2 | p. 115 |
| Spins as intrinsic magnetic moments | p. 115 |
| States of spins | p. 116 |
| Selected States | p. 118 |
| Two paths: interferometry | p. 119 |
| Two energy levels | p. 122 |
| Summary | p. 122 |
| The Broader View | p. 123 |
| Two systems on a single ô particleö | p. 123 |
| Ramsey interferometry: pulsed NMR and atomic clocks | p. 123 |
| References and Further Reading | p. 124 |
| Solutions to the Exercises | p. 125 |
| Link with More Traditional Presentations of Quantum Physics | p. 127 |
| The Content of Traditional Approaches | p. 127 |
| Description of Systems with Position and Momentum | p. 128 |
| Position, wave-functions | p. 128 |
| Adding momentum; uncertainty relations | p. 130 |
| Dynamics of Quantum Systems | p. 130 |
| Schrödinger equation: description | p. 131 |
| Schrödinger equation: solution | p. 132 |
| Summary | p. 133 |
| The Broader View | p. 134 |
| The original Einstein - Podolsk - Rosen argument | p. 134 |
| References and Further Reading | p. 135 |
| Concluding Remarks | p. 137 |
| Index | p. 139 |
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