Lecture Notes in Physics

An Approach From Theoretical Physics

By: Lajos Diosi

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Paperback | 3 June 2011 | Edition Number 2

At a Glance

Paperback
180 Pages

Edition Type
Revised

Dimensions(cm)
22.23 x 15.24 x 0.64

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This short and concise primer takes the vantage point of theoretical physics and the unity of physics. It sets out to strip the burgeoning field of quantum information science to its basics by linking it to universal concepts in physics. An extensive lecture rather than a comprehensive textbook, this volume is based on courses delivered over several years to advanced undergraduate and beginning graduate students, but essentially it addresses anyone with a working knowledge of basic quantum physics. Readers will find these lectures a most adequate entry point for theoretical studies in this field. For the second edition, the authors has succeeded in adding many new topics while sticking to the conciseness of the overall approach. A new chapter on qubit thermodynamics has been added, while new sections and subsections have been incorporated in various chapter to deal with weak and time-continuous measurements, period-finding quantum algorithms and quantum error corrections. From the reviews of the first edition: "The best things about this book are its brevity and clarity. In around 100 pages it provides a tutorial introduction to quantum information theory, including problems and solutions. ... it's worth a look if you want to quickly get up to speed with the language and central concepts of quantum information theory, including the background classical information theory." (Craig Savage, Australian Physics, Vol. 44 (2), 2007)

Industry Reviews

From the reviews of the second edition:

"The present work describes the basics in Quantum Information Theory ... . It contain 12 chapters which graduate the theory and start from physics basic, draw up the Qubit Manipulation and Q-Operations, finalizing by Q-Computations and Qubit Thermodynamics. The entire course is done for students, each chapter has exercises and bibliography. In the end of the work the solutions for the exercises are presented. ... a valuable introductory in the field of Quantum theory ... ." (Nicolae Constantinescu, Zentralblatt MATH, Vol. 1232, 2012)

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Introduction	p. 1
Introduction	p. 1
References	p. 3
Foundations of Classical Physics	p. 7
State Space, Equation of Motion	p. 7
Operation, Mixing, Selection	p. 8
Linearity of Non-Selective Operations	p. 9
Measurements	p. 10
Projective Measurement	p. 10
Non-Projective Measurement	p. 12
Weak Measurement, Time-Continuous Measurement	p. 12
Composite Systems	p. 13
Collective System	p. 15
Two-State System (Bit)	p. 15
Problems, Exercises	p. 16
References	p. 17
Semiclassical, Semi-Q-Physics	p. 19
Problems, Exercises	p. 20
References	p. 21
Foundations of Q-Physics	p. 23
State Space, Superposition, Equation of Motion	p. 23
Operation, Mixing, Selection	p. 25
Linearity of Non-Selective Operations	p. 26
Measurements	p. 26
Projective Measurement	p. 27
Non-Projective Measurement	p. 29
Weak Measurement, Time-Continuous Measurement	p. 30
Compatible Physical Quantities	p. 31
Measurement in Pure State	p. 32
Composite Systems	p. 33
Collective System	p. 35
Problems, Exercises	p. 36
References	p. 36
Two-State Q-System: Qubit Representations	p. 37
Computational Representation	p. 37
Pauli Representation	p. 38
State Space	p. 38
Rotational Invariance	p. 40
Density Matrix	p. 40
Equation of Motion	p. 41
Physical Quantities, Measurement	p. 42
The Unknown Qubit, Alice and Bob	p. 43
Relationship of Computational and Pauli Representations	p. 43
Fock Representation	p. 44
Problems, Exercises	p. 45
One-Qubit Manipulations	p. 47
One-Qubit Operations	p. 47
Logical Operations	p. 47
Depolarization, Re-Polarization, Reflection	p. 49
State Preparation, Determination	p. 50
Preparation of Known State, Mixing	p. 50
Ensemble Determination of Unknown State	p. 51
Single State Determination: No-Cloning	p. 52
Fidelity of Two States	p. 53
Approximate State Determination and Cloning	p. 53
Indistinguishability of Two Non-Orthogonal States	p. 54
Distinguishing Via Projective Measurement	p. 54
Distinguishing Via Non-Projective Measurement	p. 55
Applications of No-Cloning and Indistinguishability	p. 56
Q-banknote	p. 56
Q-key, Q-Cryptography	p. 57
Problems, Exercises	p. 59
References	p. 60
Composite Q-System, Pure State	p. 61
Bipartite Composite Systems	p. 61
Schmidt Decomposition	p. 62
State Purification	p. 62
Measure of Entanglement	p. 63
Entanglement and Local Operations	p. 65
Entanglement of Two-Qubit Pure States	p. 66
Interchangeability of Maximal Entanglements	p. 67
Q-Correlations History	p. 68
EPR, Einstein Nonlocality 1935	p. 68
A Non-Existing Linear Operation 1955	p. 69
Bell Nonlocality 1964	p. 70
Applications of Q-Correlations	p. 73
Superdense Coding	p. 73
Teleportation	p. 74
Problems, Exercises	p. 76
References	p. 76
All Q-Operations	p. 79
Completely Positive Maps	p. 79
Reduced Dynamics	p. 80
Indirect Measurement	p. 81
Non-Projective Measurement Resulting from Indirect Measurement	p. 83
Entanglement and LOCC	p. 84
Open Q-System: Master Equation	p. 85
Q-Channels	p. 85
Problems, Exercises	p. 86
References	p. 87
Classical Information Theory	p. 89
Shannon Entropy, Mathematical Properties	p. 89
Messages	p. 90
Data Compression	p. 90
Mutual Information	p. 92
Channel Capacity	p. 93
Optimal Codes	p. 94
Cryptography and Information Theory	p. 94
Entropically Irreversible Operations	p. 95
Problems, Exercises	p. 96
References	p. 96
Q-Information Theory	p. 97
Von Neumann Entropy, Mathematical Properties	p. 97
Messages	p. 98
Data Compression	p. 99
Accessible Q-Information	p. 101
Entanglement: The Resource of Q-Communication	p. 102
Entanglement Concentration (Distillation)	p. 103
Entanglement Dilution	p. 104
Entropically Irreversible Operations	p. 105
Problems, Exercises	p. 106
References	p. 108
Q-Computation	p. 109
Parallel Q-Computing	p. 109
Evaluation of Arithmetic Functions	p. 110
Oracle Problem: The First Q-Algorithm	p. 111
Searching Q-Algorithm	p. 113
Fourier Algorithm	p. 115
Period Finding Q-Algorithm	p. 116
Error Correction	p. 118
Q-Gates, Q-Circuits	p. 120
Problems, Exercises	p. 121
References	p. 122
Qubit Thermodynamics	p. 123
Thermal Qubit	p. 123
Ideal Qubit Gas	p. 124
Informatic and Thermodynamic Entropies	p. 125
Q-Thermalization	p. 126
Q-Refrigerator	p. 127
Thermal Qubit with External Work	p. 129
Q-Camot Cycle	p. 130
Problems, Exercises	p. 132
References	p. 133
Appendix	p. 135
Solutions	p. 141
Index	p. 159
Table of Contents provided by Ingram. All Rights Reserved.

Lecture Notes in Physics

An Approach From Theoretical Physics

At a Glance

Paperback

Industry Reviews

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How to return your order

Defective items

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