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Quantum Information, Computation and Cryptography : An Introductory Survey of Theory, Technology and Experiments - Fabio Benatti

Quantum Information, Computation and Cryptography

An Introductory Survey of Theory, Technology and Experiments

By: Fabio Benatti (Editor), Mark Fannes (Editor), Roberto Floreanini (Editor), Dimitri Petritis (Editor)

Paperback Published: 30th October 2010
ISBN: 9783642119132
Number Of Pages: 350

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This multi-authored textbook addresses graduate students with a background in physics, mathematics or computer science. No research experience is necessary.

Consequently, rather than comprehensively reviewing the vast body of knowledge and literature gathered in the past twenty years, this book concentrates on a number of carefully selected aspects of quantum information theory and technology.

Given the highly interdisciplinary nature of the subject, the multi-authored approach brings together different points of view from various renowned experts, providing a coherent picture of the subject matter.

The book consists of ten chapters and includes examples, problems, and exercises. The first five present the mathematical tools required for a full comprehension of various aspects of quantum mechanics, classical information, and coding theory. Chapter 6 deals with the manipulation and transmission of information in the quantum realm. Chapters 7 and 8 discuss experimental implementations of quantum information ideas using photons and atoms. Finally, chapters 9 and 10 address ground-breaking applications in cryptography and computation.

Hilbert Space Methods for Quantum Mechanicsp. 1
Hilbert Spacesp. 1
Postulates of Quantum Mechanicsp. 13
Some Applicationsp. 25
Referencesp. 31
Classical Information Theoryp. 33
Entropyp. 33
Source Codingp. 44
Channel Codingp. 53
Bibliographical Notesp. 64
Referencesp. 64
Quantum Probability and Quantum Information Theoryp. 65
Introductionp. 65
Why Classical Probability Does Not Sufficep. 67
Toward a Mathematical Modelp. 74
Quantum Probabilityp. 80
Operations on Probability Spacesp. 88
Quantum Impossibilitiesp. 98
Quantum Noveltiesp. 104
Referencesp. 108
Bipartite Quantum Entanglementp. 109
Introductionp. 109
Bipartite Entanglementp. 111
Entanglement Detectionp. 120
Complete Positivity, Open Quantum Systems, and Entanglementp. 134
Referencesp. 148
Field-Theoretical Methodsp. 151
Introductionp. 151
The Quantum Harmonic Oscillatorp. 152
Quantum Bosonic Fieldsp. 159
Coherent and Thermal States for Bosonsp. 166
Second Quantization of Fermionsp. 172
Further Readingp. 174
Referencesp. 174
Quantum Entropy and Informationp. 175
Introductionp. 175
Preliminariesp. 176
Rudiments of Classical Information Theoryp. 179
Quantum Entropyp. 185
Data Compression in Quantum Information Theoryp. 187
Quantum Channelsp. 193
Accessible Information and the Holevo Boundp. 200
Referencesp. 214
Photonic Realization of Quantum Information Protocolsp. 215
Introductionp. 215
Photon Entanglementp. 220
Optical Realizations of Quantum Information Protocolsp. 232
Optical Quantum Computation Protocolsp. 233
Quantum Communicationp. 237
Referencesp. 248
Physical Realizations of Quantum Informationp. 253
Introductionp. 253
A Single Qubit in Interaction with the Radiation Fieldp. 256
Qubit Entanglement Through the Jaynes-Cummings Interactionp. 268
Referencesp. 274
Quantum Cryptographyp. 277
Introductionp. 277
Classical Cryptographyp. 278
Quantum Cryptographyp. 279
Eavesdropping Strategiesp. 287
Unconditional Security of BB84p. 291
Defense Against Eavesdropping with Photon Number Splitting (PNS) Attacksp. 301
Classical Upper Bounds on the Secret Key Ratep. 302
The Role of Entanglement in QKDp. 304
Problems/Exercisesp. 307
Referencesp. 308
Quantum Algorithmsp. 309
Notationsp. 310
The Quantum Circuit Modelp. 312
First Algorithmsp. 316
The Quantum Fourier Transformp. 319
Deutsch-Josza and Simon's Algorithmsp. 323
Factoring in Polynomial Timep. 326
The Hidden Subgroup Problemp. 331
Grover's Algorithm for Unstructured Searchp. 334
Developmentsp. 338
Referencesp. 340
Indexp. 343
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9783642119132
ISBN-10: 3642119131
Series: Lecture Notes in Physics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 350
Published: 30th October 2010
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.91
Weight (kg): 0.51