Classical and quantum information theory: an introduction for the telecom scientist
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2009
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Includes index |
| Beschreibung: | XX, 691 S. Ill., graph. Darst. |
| ISBN: | 9780521881715 |
Internformat
MARC
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| 100 | 1 | |a Desurvire, Emmanuel |d 1955- |e Verfasser |0 (DE-588)137358296 |4 aut | |
| 245 | 1 | 0 | |a Classical and quantum information theory |b an introduction for the telecom scientist |c Emmanuel Desurvire |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2009 | |
| 300 | |a XX, 691 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes index | ||
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Quantum theory | |
| 650 | 4 | |a Information measurement | |
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Datensatz im Suchindex
| _version_ | 1804138590735695872 |
|---|---|
| adam_text | Contents
Foreword page
xi
Introduction
xvii
Acknowledgments
xxi
Probability basics
1
1.1
Events, event space, and probabilities
1
1.2
Combinatorics
8
1.3
Combined, joint, and conditional probabilities
11
1.4
Exercises
18
Probability distributions
20
2.1
Mean and variance
20
2.2
Exponential,
Poisson,
and binomial distributions
22
2.3
Continuous distributions
26
2.4
Uniform, exponential, and Gaussian (normal) distributions
26
2.5
Central-limit theorem
33
2.6
Exercises
35
Measuring information
37
3.1
Making sense of information
38
3.2
Measuring information
40
3.3
Information bits
43
3.4
Rényi s fake
coin
45
3.5
Exercises
49
Entropy
50
4.1
From Boltzmann to Shannon
50
4.2
Entropy in dice
53
4.3
Language entropy
57
4.4
Maximum entropy (discrete source)
63
4.5
Exercises
67
Contents
Mutual
information
and more entropies
69
5.1
Joint and conditional entropies
69
5.2
Mutual information
75
5.3
Relative entropy
79
5.4
Exercises
82
Differential entropy
84
6.1
Entropy of continuous sources
84
6.2
Maximum entropy (continuous source)
90
6.3
Exercises
94
Algorithmic entropy and Koimogorov complexity
96
96
97
107
111
123
125
127
127
129
132
136
138
142
149
151
151
156
162
177
10
Integer, arithmetic, and adaptive coding
179
179
185
192
200
207
7.1
Denning algorithmic entropy
7.2
The Turing machine
7.3
Universal Turing machine
7.4
Koimogorov complexity
7.5
Koimogorov complexity vs. Shannon s entropy
7.6
Exercises
Information coding
8.1
Coding numbers
8.2
Coding language
8.3
The Morse code
8.4
Mean code length and coding efficiency
8.5
Optimizing coding efficiency
8.6
Shannon s source-coding theorem
8.7
Exercises
Optimal coding and compression
9.1
Huffman codes
9.2
Data compression
9.3
Block codes
9.4
Exercises
Integer, arithmetic, and adaptive coding
10.1
Integer coding
10.2
Arithmetic coding
10.3
Adaptive Huffman coding
10.4
Lempel-Ziv coding
10.5
Exercises
Contents
vii
11
Error
correction
208
11.1
Communication channel
208
11.2
Linear block codes
210
11.3
Cyclic codes
217
11.4
Error-correction code types
219
11.5
Corrected bit-error-rate
226
11.6
Exercises
230
12
Channel entropy
232
12.1
Binary symmetric channel
232
12.2
Nonbinary and asymmetric discrete channels
234
12.3
Channel entropy and mutual information
238
12.4
Symbol error rate
242
12.5
Exercises
244
13
Channel capacity and coding theorem
245
13.1
Channel capacity
245
13.2
Typical sequences and the typical set
252
13.3
Shannon s channel coding theorem
255
13.4
Exercises
263
14
Gaussian channel and Shannon-Hartley theorem
264
14.1
Gaussian channel
264
14.2
Nonlinear channel
277
14.3
Exercises
282
15
Reversible computation
283
15.1
Maxwell s demon and Landauer s principle
283
15.2
From computer architecture to logic gates
288
15.3
Reversible logic gates and computation
297
15.4
Exercises
302
16
Quantum bits and quantum gates
304
16.1
Quantum bits
304
16.2
Basic computations with 1-qubit quantum gates
310
16.3
Quantum gates with multiple qubit inputs and outputs
315
16.4
Quantum circuits
322
16.5
Tensor products
327
16.6
Noncloning theorem
330
16.7
Exercises
331
viii Contents
17
Quantum
measurements
333
17.1
Dirac
notation
333
17.2
Quantum
measurements and types
343
17.3
Quantum measurements on joint states
351
17.4
Exercises
355
18
Qubit measurements,
superdense
coding, and quantum teieportation
356
18.1
Measuring single qubits
356
18.2
Measuring
я
-qubits
361
18.3
Bell state measurement
365
18.4
Superdense
coding
366
18.5
Quantum teieportation
367
18.6
Distributed quantum computing
374
18.7
Exercises
376
19
Deutsch-Jozsa, quantum Fourier transform, and
Grover
quantum database
search algorithms
378
19.1 Deutsch
algorithm
378
19.2
Deutsch-Jozsa algorithm
381
19.3
Quantum Fourier transform algorithm
383
19.4
Grover
quantum database search algorithm
389
19.5
Exercises
398
20
Shor s factorization algorithm
399
20.1
Phase estimation
400
20.2
Order finding
405
20.3
Continued fraction expansion
408
20.4
From order finding to factorization
410
20.5
Shor s factorization algorithm
415
20.6
Factorizing
N = 15
and other
nontrivial
composites
417
20.7
Public-key cryptography
424
20.8
Exercises
429
21
Quantum information theory
431
21.1 Von
Neumann entropy
431
21.2
Relative, joint, and conditional entropy, and mutual information
437
21.3
Quantum communication channel and Holevo bound
450
21.4
Exercises
454
Contents
22 Quantum
data compression
457
22.1 Quantum
data compression and fidelity
457
22.2
Schumacher s quantum coding theorem
464
22.3
A graphical and numerical illustration of Schumacher s
quantum coding theorem
469
22.4
Exercises
474
23
Quantum channel noise and channel capacity
475
23.1
Noisy quantum channels
475
23.2
The Holevo-Schumacher-Westmoreland capacity theorem
481
23.3
Capacity of some quantum channels
487
23.4
Exercises
493
24
Quantum error correction
496
24.1
Quantum repetition code
496
24.2
Shorcode
503
24.3
Calderbank-Shor-Steine (CSS) codes
509
24.4
Hadamard-Steane code
514
24.5
Exercises
521
25
Classical and quantum cryptography
523
25.1
Message encryption, decryption, and code breaking
524
25.2
Encryption and decryption with binary numbers
527
25.3
Double-key encryption
532
25.4
Cryptography without key exchange
534
25.5
Public-key cryptography and RSA
536
25.6
Data encryption standard
(DES)
and advanced encryption
standard (AES)
541
25.7
Quantum cryptography
543
25.8
Electromagnetic waves, polarization states, photons, and
quantum measurements
544
25.9
A secure photon communication channel
554
25.10
The BB84 protocol for QKD
556
25.11
The B92 protocol
558
25.12
The EPR protocol
559
25.13
Is quantum cryptography invulnerable?
562
Appendix A (Chapter
4)
Boltzmann s entropy
565
Appendix
В
(Chapter
4)
Shannon s entropy
568
Appendix
С
(Chapter
4)
Maximum entropy of discrete sources
573
Appendix
D
(Chapter
5)
Markov chains and the second law of thermodynamics
581
Appendix
E
(Chapter
6)
From discrete to continuous entropy
587
Contents
Appendix
F
(Chapter
8)
Kraft-McMillan inequality
589
Appendix
G
(Chapter
9)
Overview of data compression standards
591
Appendix
H
(Chapter
10)
Arithmetic coding algorithm
605
Appendix I (Chapter
10)
Lempel-Ziv distinct parsing
610
Appendix
J
(Chapter
11)
Error-correction capability of linear block codes
614
Appendix
К
(Chapter
13)
Capacity of binary communication channels
617
Appendix
L
(Chapter
13)
Converse proof of the channel coding theorem
621
Appendix
M
(Chapter
16)
Bloch sphere representation of the qubit
625
Appendix
N
(Chapter
16) Pauli
matrices, rotations, and unitary operators
627
Appendix
О
(Chapter
17) Heisenberg
uncertainty principle
635
Appendix
P
(Chapter
18)
Two-qubit
teleportation
637
Appendix
Q
(Chapter
19)
Quantum Fourier transform circuit
644
Appendix
R
(Chapter
20)
Properties of continued fraction expansion
648
Appendix
S
(Chapter
20)
Computation of inverse Fourier transform
in the factorization ofN
= 21
through Shor s algorithm
653
Appendix
T
(Chapter
20)
Modular arithmetic and
Euler
s
theorem
656
Appendix
U
(Chapter
21)
Klein
s
inequality
660
Appendix V (Chapter
21)
Schmidt decomposition of joint pure states
662
Appendix
W
(Chapter
21)
State purification
664
Appendix X (Chapter
21)
Holevo bound
666
Appendix
Y
(Chapter
25)
Polynomial byte representation and
modular multiplication
672
Index
676
Classical and
Emmanuel Desurvire is Director of the
Physics Research Group at
Thaïes
Research
and Technology, and has held previous
positions at Stanford university,
at&t
Bell
Laboratories, Columbia university.and
Alcatel. With over
25
years experience
irt
tire field of optical communications, he has
received numerous recognitions for his
Scientific Contributions, including the
Î994
Prize from the international Commission
for optics, the 1
998
Benjamin Franklin
Medał
in Engineering, the 2OQ5 William
Streifer
scientific Achievement Award, and,
in
2007,
tne
lEEE/LEOSjohn Tyndalf
Award, Engineer of the Year Award, and the
France-Telecom Prize of the
Académie des
sciences,
не
is also laureate of tfte
2008
Millennium Technology Prize.
information theory lies at the heart of modern
technology, underpinning all communications,
networking, and data storage systems. This book sets
out, for the first
ti
me, a com
plete
overview of both
classical and quantum information theory.
Throughout, the reader is introduced to key results
without becoming lost in mathematical details.
The opening chapters deal with the basic concepts
and various applications of Shannon s entropy. The
core features of quantum information and quantum
computing are then presented. Topics such as coding,
compression, error correction, cryptography, and
channel capacity are covered from both classical and
quantum viewpoints. Employing an informal yet
scientifically accurate approach, Desurvire provides
the reader with the knowledge to understand
quantum gates and circuits.
Highly illustrated, with numerous practical
examples and end-of-chapter exercises, this text is
¡deal for graduate students and researchers in
electrical engineering and computer science, and also
for scientists and practitioners in the
telecommunications industry.
Further resources and instructor-only solutions are
available at www.cambridge.org/desurvire
|
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| ctrlnum | (OCoLC)231581112 (DE-599)HBZHT015772106 |
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| dewey-ones | 530 - Physics |
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| dewey-sort | 3530.12 |
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| discipline | Physik Informatik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV035293323 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:37Z |
| institution | BVB |
| isbn | 9780521881715 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017098340 |
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| physical | XX, 691 S. Ill., graph. Darst. |
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| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Desurvire, Emmanuel 1955- Verfasser (DE-588)137358296 aut Classical and quantum information theory an introduction for the telecom scientist Emmanuel Desurvire 1. publ. Cambridge Cambridge Univ. Press 2009 XX, 691 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes index Quantentheorie Quantum theory Information measurement Quanteninformatik (DE-588)4705961-8 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Informationstheorie (DE-588)4026927-9 s Quanteninformatik (DE-588)4705961-8 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017098340&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017098340&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Desurvire, Emmanuel 1955- Classical and quantum information theory an introduction for the telecom scientist Quantentheorie Quantum theory Information measurement Quanteninformatik (DE-588)4705961-8 gnd Informationstheorie (DE-588)4026927-9 gnd |
| subject_GND | (DE-588)4705961-8 (DE-588)4026927-9 |
| title | Classical and quantum information theory an introduction for the telecom scientist |
| title_auth | Classical and quantum information theory an introduction for the telecom scientist |
| title_exact_search | Classical and quantum information theory an introduction for the telecom scientist |
| title_full | Classical and quantum information theory an introduction for the telecom scientist Emmanuel Desurvire |
| title_fullStr | Classical and quantum information theory an introduction for the telecom scientist Emmanuel Desurvire |
| title_full_unstemmed | Classical and quantum information theory an introduction for the telecom scientist Emmanuel Desurvire |
| title_short | Classical and quantum information theory |
| title_sort | classical and quantum information theory an introduction for the telecom scientist |
| title_sub | an introduction for the telecom scientist |
| topic | Quantentheorie Quantum theory Information measurement Quanteninformatik (DE-588)4705961-8 gnd Informationstheorie (DE-588)4026927-9 gnd |
| topic_facet | Quantentheorie Quantum theory Information measurement Quanteninformatik Informationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017098340&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017098340&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT desurvireemmanuel classicalandquantuminformationtheoryanintroductionforthetelecomscientist |